TSTP Solution File: BOO074-1 by Metis---2.4

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : BOO074-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.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 : Thu Jul 14 23:46:07 EDT 2022

% Result   : Unsatisfiable 2.61s 2.85s
% Output   : CNFRefutation 3.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  123
%            Number of leaves      :  366
% Syntax   : Number of clauses     : 1155 ( 569 unt;   0 nHn; 574 RR)
%            Number of literals    : 2018 (2017 equ; 865 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   20 (   3 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   : 2185 ( 153 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(dn1,axiom,
    inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) = C ).

cnf(huntinton_3,negated_conjecture,
    add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a ).

cnf(refute_0_0,plain,
    inverse(add(inverse(add(inverse(add(C,inverse(C))),C)),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
    inference(subst,[],[dn1:[bind(A,$fot(C)),bind(B,$fot(inverse(C)))]]) ).

cnf(refute_0_1,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))))) = inverse(X_2),
    inference(subst,[],[dn1:[bind(A,$fot(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)))),bind(C,$fot(inverse(X_2))),bind(D,$fot(inverse(add(X_2,X_3))))]]) ).

cnf(refute_0_2,plain,
    inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))) = X_2,
    inference(subst,[],[dn1:[bind(A,$fot(inverse(inverse(X_2)))),bind(B,$fot(X_1)),bind(C,$fot(X_2)),bind(D,$fot(X_3))]]) ).

cnf(refute_0_3,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))))) != inverse(X_2)
    | inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))) != X_2
    | inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),X_2)) = inverse(X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))))),inverse(X_2)) ),[0,0,1],$fot(X_2)]]) ).

cnf(refute_0_4,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))))) != inverse(X_2)
    | inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),X_2)) = inverse(X_2) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),X_2) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),X_2)) = inverse(X_2),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))))),inverse(X_2)) )],[refute_0_1,refute_0_4]) ).

cnf(refute_0_6,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),inverse(X_6))),X_6)) = inverse(X_6),
    inference(subst,[],[refute_0_5:[bind(B,$fot(inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),bind(X_1,$fot(X_5)),bind(X_2,$fot(X_6))]]) ).

cnf(refute_0_7,plain,
    inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))) = X_6,
    inference(subst,[],[dn1:[bind(A,$fot(inverse(inverse(X_6)))),bind(B,$fot(X_5)),bind(C,$fot(X_6))]]) ).

cnf(refute_0_8,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),inverse(X_6))),X_6)) != inverse(X_6)
    | inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))) != X_6
    | inverse(add(inverse(add(X_6,inverse(X_6))),X_6)) = inverse(X_6) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),inverse(X_6))),X_6)),inverse(X_6)) ),[0,0,0,0,0],$fot(X_6)]]) ).

cnf(refute_0_9,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),inverse(X_6))),X_6)) != inverse(X_6)
    | inverse(add(inverse(add(X_6,inverse(X_6))),X_6)) = inverse(X_6) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),X_6) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    inverse(add(inverse(add(X_6,inverse(X_6))),X_6)) = inverse(X_6),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),inverse(X_6))),X_6)),inverse(X_6)) )],[refute_0_6,refute_0_9]) ).

cnf(refute_0_11,plain,
    inverse(add(inverse(add(C,inverse(C))),C)) = inverse(C),
    inference(subst,[],[refute_0_10:[bind(X_6,$fot(C))]]) ).

cnf(refute_0_12,plain,
    ( inverse(add(inverse(add(C,inverse(C))),C)) != inverse(C)
    | inverse(add(inverse(add(inverse(add(C,inverse(C))),C)),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) != C
    | inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(C,inverse(C))),C)),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))),C) ),[0,0,0],$fot(inverse(C))]]) ).

cnf(refute_0_13,plain,
    ( inverse(add(inverse(add(inverse(add(C,inverse(C))),C)),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) != C
    | inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(C,inverse(C))),C)),inverse(C)) )],[refute_0_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(C,inverse(C))),C)),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[refute_0_0,refute_0_13]) ).

cnf(refute_0_15,plain,
    inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))))))) = C,
    inference(subst,[],[refute_0_14:[bind(D,$fot(inverse(add(inverse(C),inverse(add(C,X_9))))))]]) ).

cnf(refute_0_16,plain,
    inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))) = C,
    inference(subst,[],[refute_0_14:[bind(D,$fot(X_9))]]) ).

cnf(refute_0_17,plain,
    ( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))) != C
    | inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))))))) != C
    | inverse(add(inverse(C),inverse(add(C,C)))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))))))),C) ),[0,0,1,0,1],$fot(C)]]) ).

cnf(refute_0_18,plain,
    ( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))))))) != C
    | inverse(add(inverse(C),inverse(add(C,C)))) = C ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))),C) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    inverse(add(inverse(C),inverse(add(C,C)))) = C,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))))))),C) )],[refute_0_15,refute_0_18]) ).

cnf(refute_0_20,plain,
    inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))))))) = C,
    inference(subst,[],[dn1:[bind(D,$fot(inverse(add(inverse(C),inverse(add(C,X_9))))))]]) ).

cnf(refute_0_21,plain,
    ( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))) != C
    | inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))))))) != C
    | inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,C)))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))))))),C) ),[0,0,1,0,1],$fot(C)]]) ).

cnf(refute_0_22,plain,
    ( inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))))))) != C
    | inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,C)))) = C ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))),C) )],[refute_0_16,refute_0_21]) ).

cnf(refute_0_23,plain,
    inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,C)))) = C,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_9)))))))))))),C) )],[refute_0_20,refute_0_22]) ).

cnf(refute_0_24,plain,
    inverse(add(inverse(add(inverse(add(inverse(X_46),X_46)),inverse(X_46))),inverse(add(inverse(X_46),inverse(X_46))))) = inverse(X_46),
    inference(subst,[],[refute_0_23:[bind(A,$fot(inverse(X_46))),bind(B,$fot(X_46)),bind(C,$fot(inverse(X_46)))]]) ).

cnf(refute_0_25,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
    inference(subst,[],[dn1:[bind(A,$fot(inverse(add(inverse(add(X_0,X_1)),X_2)))),bind(B,$fot(inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3))))))))]]) ).

cnf(refute_0_26,plain,
    inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))) = X_2,
    inference(subst,[],[dn1:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(X_2)),bind(D,$fot(X_3))]]) ).

cnf(refute_0_27,plain,
    ( inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))) != X_2
    | inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
    | inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) ),[0,0,0,0,0],$fot(X_2)]]) ).

cnf(refute_0_28,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
    | inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),X_2) )],[refute_0_26,refute_0_27]) ).

cnf(refute_0_29,plain,
    inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[refute_0_25,refute_0_28]) ).

cnf(refute_0_30,plain,
    inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,inverse(add(inverse(X_11),inverse(add(X_11,D)))))))))))) = X_11,
    inference(subst,[],[refute_0_29:[bind(C,$fot(X_11)),bind(D,$fot(inverse(add(inverse(X_11),inverse(add(X_11,D)))))),bind(X_0,$fot(X_13)),bind(X_1,$fot(X_14)),bind(X_2,$fot(X_15))]]) ).

cnf(refute_0_31,plain,
    inverse(add(inverse(X_11),inverse(add(X_11,inverse(add(inverse(X_11),inverse(add(X_11,D)))))))) = X_11,
    inference(subst,[],[refute_0_14:[bind(C,$fot(X_11))]]) ).

cnf(refute_0_32,plain,
    ( inverse(add(inverse(X_11),inverse(add(X_11,inverse(add(inverse(X_11),inverse(add(X_11,D)))))))) != X_11
    | inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,inverse(add(inverse(X_11),inverse(add(X_11,D)))))))))))) != X_11
    | inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),X_11)))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,inverse(add(inverse(X_11),inverse(add(X_11,D)))))))))))),X_11) ),[0,0,1,0,1],$fot(X_11)]]) ).

cnf(refute_0_33,plain,
    ( inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,inverse(add(inverse(X_11),inverse(add(X_11,D)))))))))))) != X_11
    | inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),X_11)))) = X_11 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_11),inverse(add(X_11,inverse(add(inverse(X_11),inverse(add(X_11,D)))))))),X_11) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),X_11)))) = X_11,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,inverse(add(inverse(X_11),inverse(add(X_11,D)))))))))))),X_11) )],[refute_0_30,refute_0_33]) ).

cnf(refute_0_35,plain,
    inverse(add(inverse(add(inverse(X_24),X_24)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_24)),X_1)),X_24)),X_26)),inverse(X_24))),X_24)))) = X_24,
    inference(subst,[],[refute_0_34:[bind(X_11,$fot(X_24)),bind(X_13,$fot(inverse(add(inverse(add(inverse(inverse(X_24)),X_1)),X_24)))),bind(X_14,$fot(X_26)),bind(X_15,$fot(inverse(X_24)))]]) ).

cnf(refute_0_36,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_24)),X_1)),X_24)),X_26)),inverse(X_24))),X_24)) = inverse(X_24),
    inference(subst,[],[refute_0_5:[bind(B,$fot(X_26)),bind(X_2,$fot(X_24))]]) ).

cnf(refute_0_37,plain,
    ( inverse(add(inverse(add(inverse(X_24),X_24)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_24)),X_1)),X_24)),X_26)),inverse(X_24))),X_24)))) != X_24
    | inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_24)),X_1)),X_24)),X_26)),inverse(X_24))),X_24)) != inverse(X_24)
    | inverse(add(inverse(add(inverse(X_24),X_24)),inverse(X_24))) = X_24 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(X_24),X_24)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_24)),X_1)),X_24)),X_26)),inverse(X_24))),X_24)))),X_24) ),[0,0,1],$fot(inverse(X_24))]]) ).

cnf(refute_0_38,plain,
    ( inverse(add(inverse(add(inverse(X_24),X_24)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_24)),X_1)),X_24)),X_26)),inverse(X_24))),X_24)))) != X_24
    | inverse(add(inverse(add(inverse(X_24),X_24)),inverse(X_24))) = X_24 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_24)),X_1)),X_24)),X_26)),inverse(X_24))),X_24)),inverse(X_24)) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    inverse(add(inverse(add(inverse(X_24),X_24)),inverse(X_24))) = X_24,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_24),X_24)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_24)),X_1)),X_24)),X_26)),inverse(X_24))),X_24)))),X_24) )],[refute_0_35,refute_0_38]) ).

cnf(refute_0_40,plain,
    inverse(add(inverse(add(inverse(X_46),X_46)),inverse(X_46))) = X_46,
    inference(subst,[],[refute_0_39:[bind(X_24,$fot(X_46))]]) ).

cnf(refute_0_41,plain,
    ( inverse(add(inverse(add(inverse(X_46),X_46)),inverse(X_46))) != X_46
    | inverse(add(inverse(add(inverse(add(inverse(X_46),X_46)),inverse(X_46))),inverse(add(inverse(X_46),inverse(X_46))))) != inverse(X_46)
    | inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) = inverse(X_46) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_46),X_46)),inverse(X_46))),inverse(add(inverse(X_46),inverse(X_46))))),inverse(X_46)) ),[0,0,0],$fot(X_46)]]) ).

cnf(refute_0_42,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(X_46),X_46)),inverse(X_46))),inverse(add(inverse(X_46),inverse(X_46))))) != inverse(X_46)
    | inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) = inverse(X_46) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_46),X_46)),inverse(X_46))),X_46) )],[refute_0_40,refute_0_41]) ).

cnf(refute_0_43,plain,
    inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) = inverse(X_46),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_46),X_46)),inverse(X_46))),inverse(add(inverse(X_46),inverse(X_46))))),inverse(X_46)) )],[refute_0_24,refute_0_42]) ).

cnf(refute_0_44,plain,
    inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(inverse(add(inverse(C),C))),inverse(C))))))))))) = C,
    inference(subst,[],[refute_0_14:[bind(D,$fot(inverse(add(inverse(inverse(add(inverse(C),C))),inverse(C)))))]]) ).

cnf(refute_0_45,plain,
    inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(add(inverse(X_27),X_27),inverse(X_27))),X_27)),X_24)))) = X_24,
    inference(subst,[],[refute_0_34:[bind(X_11,$fot(X_24)),bind(X_13,$fot(add(inverse(X_27),X_27))),bind(X_14,$fot(inverse(X_27))),bind(X_15,$fot(X_27))]]) ).

cnf(refute_0_46,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),X_9)))))))),X_2)),B)),inverse(X_2))),X_2)) = inverse(X_2),
    inference(subst,[],[refute_0_5:[bind(X_1,$fot(inverse(add(inverse(X_2),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),X_9))))))))]]) ).

cnf(refute_0_47,plain,
    inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),X_9)))))))) = inverse(X_2),
    inference(subst,[],[refute_0_14:[bind(C,$fot(inverse(X_2))),bind(D,$fot(X_9))]]) ).

cnf(refute_0_48,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),X_9)))))))),X_2)),B)),inverse(X_2))),X_2)) != inverse(X_2)
    | inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),X_9)))))))) != inverse(X_2)
    | inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_2),X_2)),B)),inverse(X_2))),X_2)) = inverse(X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),X_9)))))))),X_2)),B)),inverse(X_2))),X_2)),inverse(X_2)) ),[0,0,0,0,0,0,0,0,0],$fot(inverse(X_2))]]) ).

cnf(refute_0_49,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),X_9)))))))),X_2)),B)),inverse(X_2))),X_2)) != inverse(X_2)
    | inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_2),X_2)),B)),inverse(X_2))),X_2)) = inverse(X_2) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),X_9)))))))),inverse(X_2)) )],[refute_0_47,refute_0_48]) ).

cnf(refute_0_50,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_2),X_2)),B)),inverse(X_2))),X_2)) = inverse(X_2),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),X_9)))))))),X_2)),B)),inverse(X_2))),X_2)),inverse(X_2)) )],[refute_0_46,refute_0_49]) ).

cnf(refute_0_51,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),D)))))))),inverse(X_19))),X_19)) = inverse(X_19),
    inference(subst,[],[refute_0_50:[bind(B,$fot(inverse(add(add(inverse(X_19),X_19),inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),D)))))))),bind(X_2,$fot(X_19))]]) ).

cnf(refute_0_52,plain,
    inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),D)))))))) = add(inverse(X_19),X_19),
    inference(subst,[],[refute_0_14:[bind(C,$fot(add(inverse(X_19),X_19)))]]) ).

cnf(refute_0_53,plain,
    ( inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),D)))))))) != add(inverse(X_19),X_19)
    | inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),D)))))))),inverse(X_19))),X_19)) != inverse(X_19)
    | inverse(add(inverse(add(add(inverse(X_19),X_19),inverse(X_19))),X_19)) = inverse(X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),D)))))))),inverse(X_19))),X_19)),inverse(X_19)) ),[0,0,0,0,0],$fot(add(inverse(X_19),X_19))]]) ).

cnf(refute_0_54,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),D)))))))),inverse(X_19))),X_19)) != inverse(X_19)
    | inverse(add(inverse(add(add(inverse(X_19),X_19),inverse(X_19))),X_19)) = inverse(X_19) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),D)))))))),add(inverse(X_19),X_19)) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    inverse(add(inverse(add(add(inverse(X_19),X_19),inverse(X_19))),X_19)) = inverse(X_19),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),inverse(add(inverse(add(inverse(X_19),X_19)),inverse(add(add(inverse(X_19),X_19),D)))))))),inverse(X_19))),X_19)),inverse(X_19)) )],[refute_0_51,refute_0_54]) ).

cnf(refute_0_56,plain,
    inverse(add(inverse(add(add(inverse(X_27),X_27),inverse(X_27))),X_27)) = inverse(X_27),
    inference(subst,[],[refute_0_55:[bind(X_19,$fot(X_27))]]) ).

cnf(refute_0_57,plain,
    ( inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(add(inverse(X_27),X_27),inverse(X_27))),X_27)),X_24)))) != X_24
    | inverse(add(inverse(add(add(inverse(X_27),X_27),inverse(X_27))),X_27)) != inverse(X_27)
    | inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(X_27),X_24)))) = X_24 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(add(inverse(X_27),X_27),inverse(X_27))),X_27)),X_24)))),X_24) ),[0,0,1,0,0],$fot(inverse(X_27))]]) ).

cnf(refute_0_58,plain,
    ( inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(add(inverse(X_27),X_27),inverse(X_27))),X_27)),X_24)))) != X_24
    | inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(X_27),X_24)))) = X_24 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_27),X_27),inverse(X_27))),X_27)),inverse(X_27)) )],[refute_0_56,refute_0_57]) ).

cnf(refute_0_59,plain,
    inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(X_27),X_24)))) = X_24,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(add(inverse(X_27),X_27),inverse(X_27))),X_27)),X_24)))),X_24) )],[refute_0_45,refute_0_58]) ).

cnf(refute_0_60,plain,
    inverse(add(inverse(add(inverse(add(inverse(X_24),X_24)),inverse(X_24))),inverse(add(inverse(inverse(add(inverse(X_24),X_24))),inverse(X_24))))) = inverse(X_24),
    inference(subst,[],[refute_0_59:[bind(X_24,$fot(inverse(X_24))),bind(X_27,$fot(inverse(add(inverse(X_24),X_24))))]]) ).

cnf(refute_0_61,plain,
    ( inverse(add(inverse(add(inverse(X_24),X_24)),inverse(X_24))) != X_24
    | inverse(add(inverse(add(inverse(add(inverse(X_24),X_24)),inverse(X_24))),inverse(add(inverse(inverse(add(inverse(X_24),X_24))),inverse(X_24))))) != inverse(X_24)
    | inverse(add(X_24,inverse(add(inverse(inverse(add(inverse(X_24),X_24))),inverse(X_24))))) = inverse(X_24) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_24),X_24)),inverse(X_24))),inverse(add(inverse(inverse(add(inverse(X_24),X_24))),inverse(X_24))))),inverse(X_24)) ),[0,0,0],$fot(X_24)]]) ).

cnf(refute_0_62,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(X_24),X_24)),inverse(X_24))),inverse(add(inverse(inverse(add(inverse(X_24),X_24))),inverse(X_24))))) != inverse(X_24)
    | inverse(add(X_24,inverse(add(inverse(inverse(add(inverse(X_24),X_24))),inverse(X_24))))) = inverse(X_24) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_24),X_24)),inverse(X_24))),X_24) )],[refute_0_39,refute_0_61]) ).

cnf(refute_0_63,plain,
    inverse(add(X_24,inverse(add(inverse(inverse(add(inverse(X_24),X_24))),inverse(X_24))))) = inverse(X_24),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_24),X_24)),inverse(X_24))),inverse(add(inverse(inverse(add(inverse(X_24),X_24))),inverse(X_24))))),inverse(X_24)) )],[refute_0_60,refute_0_62]) ).

cnf(refute_0_64,plain,
    inverse(add(C,inverse(add(inverse(inverse(add(inverse(C),C))),inverse(C))))) = inverse(C),
    inference(subst,[],[refute_0_63:[bind(X_24,$fot(C))]]) ).

cnf(refute_0_65,plain,
    ( inverse(add(C,inverse(add(inverse(inverse(add(inverse(C),C))),inverse(C))))) != inverse(C)
    | inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(inverse(add(inverse(C),C))),inverse(C))))))))))) != C
    | inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(inverse(add(inverse(C),C))),inverse(C))))))))))),C) ),[0,0,1,0,1,0,1],$fot(inverse(C))]]) ).

cnf(refute_0_66,plain,
    ( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(inverse(add(inverse(C),C))),inverse(C))))))))))) != C
    | inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) = C ),
    inference(resolve,[$cnf( $equal(inverse(add(C,inverse(add(inverse(inverse(add(inverse(C),C))),inverse(C))))),inverse(C)) )],[refute_0_64,refute_0_65]) ).

cnf(refute_0_67,plain,
    inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) = C,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(inverse(add(inverse(C),C))),inverse(C))))))))))),C) )],[refute_0_44,refute_0_66]) ).

cnf(refute_0_68,plain,
    inverse(add(inverse(add(inverse(add(X_45,X_46)),inverse(add(inverse(X_45),X_46)))),inverse(add(X_45,inverse(add(inverse(X_45),X_46)))))) = inverse(add(inverse(X_45),X_46)),
    inference(subst,[],[refute_0_23:[bind(A,$fot(X_45)),bind(B,$fot(X_46)),bind(C,$fot(inverse(add(inverse(X_45),X_46))))]]) ).

cnf(refute_0_69,plain,
    inverse(add(inverse(add(X_45,X_46)),inverse(add(inverse(X_45),X_46)))) = X_46,
    inference(subst,[],[refute_0_59:[bind(X_24,$fot(X_46)),bind(X_27,$fot(X_45))]]) ).

cnf(refute_0_70,plain,
    ( inverse(add(inverse(add(X_45,X_46)),inverse(add(inverse(X_45),X_46)))) != X_46
    | inverse(add(inverse(add(inverse(add(X_45,X_46)),inverse(add(inverse(X_45),X_46)))),inverse(add(X_45,inverse(add(inverse(X_45),X_46)))))) != inverse(add(inverse(X_45),X_46))
    | inverse(add(X_46,inverse(add(X_45,inverse(add(inverse(X_45),X_46)))))) = inverse(add(inverse(X_45),X_46)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_45,X_46)),inverse(add(inverse(X_45),X_46)))),inverse(add(X_45,inverse(add(inverse(X_45),X_46)))))),inverse(add(inverse(X_45),X_46))) ),[0,0,0],$fot(X_46)]]) ).

cnf(refute_0_71,plain,
    ( inverse(add(inverse(add(inverse(add(X_45,X_46)),inverse(add(inverse(X_45),X_46)))),inverse(add(X_45,inverse(add(inverse(X_45),X_46)))))) != inverse(add(inverse(X_45),X_46))
    | inverse(add(X_46,inverse(add(X_45,inverse(add(inverse(X_45),X_46)))))) = inverse(add(inverse(X_45),X_46)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_45,X_46)),inverse(add(inverse(X_45),X_46)))),X_46) )],[refute_0_69,refute_0_70]) ).

cnf(refute_0_72,plain,
    inverse(add(X_46,inverse(add(X_45,inverse(add(inverse(X_45),X_46)))))) = inverse(add(inverse(X_45),X_46)),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_45,X_46)),inverse(add(inverse(X_45),X_46)))),inverse(add(X_45,inverse(add(inverse(X_45),X_46)))))),inverse(add(inverse(X_45),X_46))) )],[refute_0_68,refute_0_71]) ).

cnf(refute_0_73,plain,
    inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) = inverse(add(inverse(C),inverse(C))),
    inference(subst,[],[refute_0_72:[bind(X_45,$fot(C)),bind(X_46,$fot(inverse(C)))]]) ).

cnf(refute_0_74,plain,
    ( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) != C
    | inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) != inverse(add(inverse(C),inverse(C)))
    | inverse(add(inverse(C),inverse(C))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))),C) ),[0],$fot(inverse(add(inverse(C),inverse(C))))]]) ).

cnf(refute_0_75,plain,
    ( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) != C
    | inverse(add(inverse(C),inverse(C))) = C ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))),inverse(add(inverse(C),inverse(C)))) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    inverse(add(inverse(C),inverse(C))) = C,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))),C) )],[refute_0_67,refute_0_75]) ).

cnf(refute_0_77,plain,
    inverse(add(inverse(X_46),inverse(X_46))) = X_46,
    inference(subst,[],[refute_0_76:[bind(C,$fot(X_46))]]) ).

cnf(refute_0_78,plain,
    add(X_46,inverse(add(inverse(X_46),inverse(X_46)))) = add(X_46,inverse(add(inverse(X_46),inverse(X_46)))),
    introduced(tautology,[refl,[$fot(add(X_46,inverse(add(inverse(X_46),inverse(X_46)))))]]) ).

cnf(refute_0_79,plain,
    ( add(X_46,inverse(add(inverse(X_46),inverse(X_46)))) != add(X_46,inverse(add(inverse(X_46),inverse(X_46))))
    | inverse(add(inverse(X_46),inverse(X_46))) != X_46
    | add(X_46,inverse(add(inverse(X_46),inverse(X_46)))) = add(X_46,X_46) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_46,inverse(add(inverse(X_46),inverse(X_46)))),add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) ),[1,1],$fot(X_46)]]) ).

cnf(refute_0_80,plain,
    ( inverse(add(inverse(X_46),inverse(X_46))) != X_46
    | add(X_46,inverse(add(inverse(X_46),inverse(X_46)))) = add(X_46,X_46) ),
    inference(resolve,[$cnf( $equal(add(X_46,inverse(add(inverse(X_46),inverse(X_46)))),add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) )],[refute_0_78,refute_0_79]) ).

cnf(refute_0_81,plain,
    add(X_46,inverse(add(inverse(X_46),inverse(X_46)))) = add(X_46,X_46),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_46),inverse(X_46))),X_46) )],[refute_0_77,refute_0_80]) ).

cnf(refute_0_82,plain,
    inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) = inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))),
    introduced(tautology,[refl,[$fot(inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))))]]) ).

cnf(refute_0_83,plain,
    ( add(X_46,inverse(add(inverse(X_46),inverse(X_46)))) != add(X_46,X_46)
    | inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) != inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46)))))
    | inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) = inverse(add(X_46,X_46)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))),inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46)))))) ),[1,0],$fot(add(X_46,X_46))]]) ).

cnf(refute_0_84,plain,
    ( add(X_46,inverse(add(inverse(X_46),inverse(X_46)))) != add(X_46,X_46)
    | inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) = inverse(add(X_46,X_46)) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))),inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46)))))) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,plain,
    inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) = inverse(add(X_46,X_46)),
    inference(resolve,[$cnf( $equal(add(X_46,inverse(add(inverse(X_46),inverse(X_46)))),add(X_46,X_46)) )],[refute_0_81,refute_0_84]) ).

cnf(refute_0_86,plain,
    ( inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) != inverse(X_46)
    | inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) != inverse(add(X_46,X_46))
    | inverse(add(X_46,X_46)) = inverse(X_46) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))),inverse(X_46)) ),[0],$fot(inverse(add(X_46,X_46)))]]) ).

cnf(refute_0_87,plain,
    ( inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))) != inverse(X_46)
    | inverse(add(X_46,X_46)) = inverse(X_46) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))),inverse(add(X_46,X_46))) )],[refute_0_85,refute_0_86]) ).

cnf(refute_0_88,plain,
    inverse(add(X_46,X_46)) = inverse(X_46),
    inference(resolve,[$cnf( $equal(inverse(add(X_46,inverse(add(inverse(X_46),inverse(X_46))))),inverse(X_46)) )],[refute_0_43,refute_0_87]) ).

cnf(refute_0_89,plain,
    inverse(add(inverse(C),inverse(C))) = inverse(inverse(C)),
    inference(subst,[],[refute_0_88:[bind(X_46,$fot(inverse(C)))]]) ).

cnf(refute_0_90,plain,
    inverse(add(C,C)) = inverse(C),
    inference(subst,[],[refute_0_88:[bind(X_46,$fot(C))]]) ).

cnf(refute_0_91,plain,
    add(inverse(C),inverse(add(C,C))) = add(inverse(C),inverse(add(C,C))),
    introduced(tautology,[refl,[$fot(add(inverse(C),inverse(add(C,C))))]]) ).

cnf(refute_0_92,plain,
    ( add(inverse(C),inverse(add(C,C))) != add(inverse(C),inverse(add(C,C)))
    | inverse(add(C,C)) != inverse(C)
    | add(inverse(C),inverse(add(C,C))) = add(inverse(C),inverse(C)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(C),inverse(add(C,C))),add(inverse(C),inverse(add(C,C)))) ),[1,1],$fot(inverse(C))]]) ).

cnf(refute_0_93,plain,
    ( inverse(add(C,C)) != inverse(C)
    | add(inverse(C),inverse(add(C,C))) = add(inverse(C),inverse(C)) ),
    inference(resolve,[$cnf( $equal(add(inverse(C),inverse(add(C,C))),add(inverse(C),inverse(add(C,C)))) )],[refute_0_91,refute_0_92]) ).

cnf(refute_0_94,plain,
    add(inverse(C),inverse(add(C,C))) = add(inverse(C),inverse(C)),
    inference(resolve,[$cnf( $equal(inverse(add(C,C)),inverse(C)) )],[refute_0_90,refute_0_93]) ).

cnf(refute_0_95,plain,
    inverse(add(inverse(C),inverse(add(C,C)))) = inverse(add(inverse(C),inverse(add(C,C)))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(C),inverse(add(C,C)))))]]) ).

cnf(refute_0_96,plain,
    ( add(inverse(C),inverse(add(C,C))) != add(inverse(C),inverse(C))
    | inverse(add(inverse(C),inverse(add(C,C)))) != inverse(add(inverse(C),inverse(add(C,C))))
    | inverse(add(inverse(C),inverse(add(C,C)))) = inverse(add(inverse(C),inverse(C))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,C)))),inverse(add(inverse(C),inverse(add(C,C))))) ),[1,0],$fot(add(inverse(C),inverse(C)))]]) ).

cnf(refute_0_97,plain,
    ( add(inverse(C),inverse(add(C,C))) != add(inverse(C),inverse(C))
    | inverse(add(inverse(C),inverse(add(C,C)))) = inverse(add(inverse(C),inverse(C))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,C)))),inverse(add(inverse(C),inverse(add(C,C))))) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    inverse(add(inverse(C),inverse(add(C,C)))) = inverse(add(inverse(C),inverse(C))),
    inference(resolve,[$cnf( $equal(add(inverse(C),inverse(add(C,C))),add(inverse(C),inverse(C))) )],[refute_0_94,refute_0_97]) ).

cnf(refute_0_99,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_100,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_101,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_99,refute_0_100]) ).

cnf(refute_0_102,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_103,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    ( inverse(add(inverse(C),inverse(C))) != inverse(inverse(C))
    | inverse(add(inverse(C),inverse(add(C,C)))) != inverse(add(inverse(C),inverse(C)))
    | inverse(add(inverse(C),inverse(add(C,C)))) = inverse(inverse(C)) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(C),inverse(add(C,C)))))),bind(Y,$fot(inverse(add(inverse(C),inverse(C))))),bind(Z,$fot(inverse(inverse(C))))]]) ).

cnf(refute_0_105,plain,
    ( inverse(add(inverse(C),inverse(C))) != inverse(inverse(C))
    | inverse(add(inverse(C),inverse(add(C,C)))) = inverse(inverse(C)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,C)))),inverse(add(inverse(C),inverse(C)))) )],[refute_0_98,refute_0_104]) ).

cnf(refute_0_106,plain,
    inverse(add(inverse(C),inverse(add(C,C)))) = inverse(inverse(C)),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(C))),inverse(inverse(C))) )],[refute_0_89,refute_0_105]) ).

cnf(refute_0_107,plain,
    ( inverse(add(inverse(C),inverse(add(C,C)))) != C
    | inverse(add(inverse(C),inverse(add(C,C)))) != inverse(inverse(C))
    | inverse(inverse(C)) = C ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,C)))),C) ),[0],$fot(inverse(inverse(C)))]]) ).

cnf(refute_0_108,plain,
    ( inverse(add(inverse(C),inverse(add(C,C)))) != C
    | inverse(inverse(C)) = C ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,C)))),inverse(inverse(C))) )],[refute_0_106,refute_0_107]) ).

cnf(refute_0_109,plain,
    inverse(inverse(C)) = C,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,C)))),C) )],[refute_0_19,refute_0_108]) ).

cnf(refute_0_110,plain,
    inverse(inverse(a)) = a,
    inference(subst,[],[refute_0_109:[bind(C,$fot(a))]]) ).

cnf(refute_0_111,plain,
    inverse(inverse(add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55))))) = add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55))),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55)))))]]) ).

cnf(refute_0_112,plain,
    inverse(add(inverse(add(inverse(add(X_45,inverse(add(inverse(inverse(add(inverse(X_45),X_45))),inverse(X_45))))),X_47)),inverse(add(X_45,X_47)))) = X_47,
    inference(subst,[],[refute_0_23:[bind(A,$fot(X_45)),bind(B,$fot(inverse(add(inverse(inverse(add(inverse(X_45),X_45))),inverse(X_45))))),bind(C,$fot(X_47))]]) ).

cnf(refute_0_113,plain,
    inverse(add(X_45,inverse(add(inverse(inverse(add(inverse(X_45),X_45))),inverse(X_45))))) = inverse(X_45),
    inference(subst,[],[refute_0_63:[bind(X_24,$fot(X_45))]]) ).

cnf(refute_0_114,plain,
    ( inverse(add(X_45,inverse(add(inverse(inverse(add(inverse(X_45),X_45))),inverse(X_45))))) != inverse(X_45)
    | inverse(add(inverse(add(inverse(add(X_45,inverse(add(inverse(inverse(add(inverse(X_45),X_45))),inverse(X_45))))),X_47)),inverse(add(X_45,X_47)))) != X_47
    | inverse(add(inverse(add(inverse(X_45),X_47)),inverse(add(X_45,X_47)))) = X_47 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_45,inverse(add(inverse(inverse(add(inverse(X_45),X_45))),inverse(X_45))))),X_47)),inverse(add(X_45,X_47)))),X_47) ),[0,0,0,0,0],$fot(inverse(X_45))]]) ).

cnf(refute_0_115,plain,
    ( inverse(add(inverse(add(inverse(add(X_45,inverse(add(inverse(inverse(add(inverse(X_45),X_45))),inverse(X_45))))),X_47)),inverse(add(X_45,X_47)))) != X_47
    | inverse(add(inverse(add(inverse(X_45),X_47)),inverse(add(X_45,X_47)))) = X_47 ),
    inference(resolve,[$cnf( $equal(inverse(add(X_45,inverse(add(inverse(inverse(add(inverse(X_45),X_45))),inverse(X_45))))),inverse(X_45)) )],[refute_0_113,refute_0_114]) ).

cnf(refute_0_116,plain,
    inverse(add(inverse(add(inverse(X_45),X_47)),inverse(add(X_45,X_47)))) = X_47,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_45,inverse(add(inverse(inverse(add(inverse(X_45),X_45))),inverse(X_45))))),X_47)),inverse(add(X_45,X_47)))),X_47) )],[refute_0_112,refute_0_115]) ).

cnf(refute_0_117,plain,
    inverse(add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55)))) = X_55,
    inference(subst,[],[refute_0_116:[bind(X_45,$fot(X_54)),bind(X_47,$fot(X_55))]]) ).

cnf(refute_0_118,plain,
    ( inverse(add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55)))) != X_55
    | inverse(inverse(add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55))))) != add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55)))
    | inverse(X_55) = add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55))))),add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55)))) ),[0,0],$fot(X_55)]]) ).

cnf(refute_0_119,plain,
    ( inverse(inverse(add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55))))) != add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55)))
    | inverse(X_55) = add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55)))),X_55) )],[refute_0_117,refute_0_118]) ).

cnf(refute_0_120,plain,
    inverse(X_55) = add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55))),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55))))),add(inverse(add(inverse(X_54),X_55)),inverse(add(X_54,X_55)))) )],[refute_0_111,refute_0_119]) ).

cnf(refute_0_121,plain,
    inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) = add(inverse(add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))),
    inference(subst,[],[refute_0_120:[bind(X_55,$fot(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))]]) ).

cnf(refute_0_122,plain,
    inverse(inverse(add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))))) = add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))))]]) ).

cnf(refute_0_123,plain,
    inverse(add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))) = inverse(add(inverse(X_80),X_81)),
    inference(subst,[],[refute_0_72:[bind(X_45,$fot(X_80)),bind(X_46,$fot(X_81))]]) ).

cnf(refute_0_124,plain,
    ( inverse(add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))) != inverse(add(inverse(X_80),X_81))
    | inverse(inverse(add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))))) != add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))
    | inverse(inverse(add(inverse(X_80),X_81))) = add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))))),add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))) ),[0,0],$fot(inverse(add(inverse(X_80),X_81)))]]) ).

cnf(refute_0_125,plain,
    ( inverse(inverse(add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))))) != add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))
    | inverse(inverse(add(inverse(X_80),X_81))) = add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))),inverse(add(inverse(X_80),X_81))) )],[refute_0_123,refute_0_124]) ).

cnf(refute_0_126,plain,
    inverse(inverse(add(inverse(X_80),X_81))) = add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))))),add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))) )],[refute_0_122,refute_0_125]) ).

cnf(refute_0_127,plain,
    inverse(inverse(add(inverse(X_80),X_81))) = add(inverse(X_80),X_81),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(inverse(X_80),X_81)))]]) ).

cnf(refute_0_128,plain,
    ( inverse(inverse(add(inverse(X_80),X_81))) != add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))
    | inverse(inverse(add(inverse(X_80),X_81))) != add(inverse(X_80),X_81)
    | add(inverse(X_80),X_81) = add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(X_80),X_81))),add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))) ),[0],$fot(add(inverse(X_80),X_81))]]) ).

cnf(refute_0_129,plain,
    ( inverse(inverse(add(inverse(X_80),X_81))) != add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))
    | add(inverse(X_80),X_81) = add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_80),X_81))),add(inverse(X_80),X_81)) )],[refute_0_127,refute_0_128]) ).

cnf(refute_0_130,plain,
    add(inverse(X_80),X_81) = add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81))))),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_80),X_81))),add(X_81,inverse(add(X_80,inverse(add(inverse(X_80),X_81)))))) )],[refute_0_126,refute_0_129]) ).

cnf(refute_0_131,plain,
    add(inverse(inverse(C)),X_117) = add(X_117,inverse(add(inverse(C),inverse(add(inverse(inverse(C)),X_117))))),
    inference(subst,[],[refute_0_130:[bind(X_80,$fot(inverse(C))),bind(X_81,$fot(X_117))]]) ).

cnf(refute_0_132,plain,
    ( add(inverse(inverse(C)),X_117) != add(X_117,inverse(add(inverse(C),inverse(add(inverse(inverse(C)),X_117)))))
    | inverse(inverse(C)) != C
    | add(inverse(inverse(C)),X_117) = add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(C)),X_117),add(X_117,inverse(add(inverse(C),inverse(add(inverse(inverse(C)),X_117)))))) ),[1,1,0,1,0,0],$fot(C)]]) ).

cnf(refute_0_133,plain,
    ( add(inverse(inverse(C)),X_117) != add(X_117,inverse(add(inverse(C),inverse(add(inverse(inverse(C)),X_117)))))
    | add(inverse(inverse(C)),X_117) = add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_132]) ).

cnf(refute_0_134,plain,
    add(inverse(inverse(C)),X_117) = add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),X_117),add(X_117,inverse(add(inverse(C),inverse(add(inverse(inverse(C)),X_117)))))) )],[refute_0_131,refute_0_133]) ).

cnf(refute_0_135,plain,
    add(inverse(inverse(C)),X_117) = add(inverse(inverse(C)),X_117),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(C)),X_117))]]) ).

cnf(refute_0_136,plain,
    ( add(inverse(inverse(C)),X_117) != add(inverse(inverse(C)),X_117)
    | inverse(inverse(C)) != C
    | add(inverse(inverse(C)),X_117) = add(C,X_117) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(C)),X_117),add(inverse(inverse(C)),X_117)) ),[1,0],$fot(C)]]) ).

cnf(refute_0_137,plain,
    ( inverse(inverse(C)) != C
    | add(inverse(inverse(C)),X_117) = add(C,X_117) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),X_117),add(inverse(inverse(C)),X_117)) )],[refute_0_135,refute_0_136]) ).

cnf(refute_0_138,plain,
    add(inverse(inverse(C)),X_117) = add(C,X_117),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_137]) ).

cnf(refute_0_139,plain,
    ( add(inverse(inverse(C)),X_117) != add(C,X_117)
    | add(inverse(inverse(C)),X_117) != add(X_117,inverse(add(inverse(C),inverse(add(C,X_117)))))
    | add(C,X_117) = add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(C)),X_117),add(X_117,inverse(add(inverse(C),inverse(add(C,X_117)))))) ),[0],$fot(add(C,X_117))]]) ).

cnf(refute_0_140,plain,
    ( add(inverse(inverse(C)),X_117) != add(X_117,inverse(add(inverse(C),inverse(add(C,X_117)))))
    | add(C,X_117) = add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),X_117),add(C,X_117)) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    add(C,X_117) = add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),X_117),add(X_117,inverse(add(inverse(C),inverse(add(C,X_117)))))) )],[refute_0_134,refute_0_140]) ).

cnf(refute_0_142,plain,
    add(X_151,inverse(X_54)) = add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))),
    inference(subst,[],[refute_0_141:[bind(C,$fot(X_151)),bind(X_117,$fot(inverse(X_54)))]]) ).

cnf(refute_0_143,plain,
    ( add(X_151,inverse(X_54)) != add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))
    | add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) = add(X_151,inverse(X_54)) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(add(X_151,inverse(X_54)))),bind(Y,$fot(add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))]]) ).

cnf(refute_0_144,plain,
    add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) = add(X_151,inverse(X_54)),
    inference(resolve,[$cnf( $equal(add(X_151,inverse(X_54)),add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))) )],[refute_0_142,refute_0_143]) ).

cnf(refute_0_145,plain,
    ( add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) != add(X_151,inverse(X_54))
    | inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) != add(inverse(add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))
    | inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))),add(inverse(add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))) ),[1,0,0],$fot(add(X_151,inverse(X_54)))]]) ).

cnf(refute_0_146,plain,
    ( inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) != add(inverse(add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))
    | inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))),add(X_151,inverse(X_54))) )],[refute_0_144,refute_0_145]) ).

cnf(refute_0_147,plain,
    inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))),add(inverse(add(inverse(X_54),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))) )],[refute_0_121,refute_0_146]) ).

cnf(refute_0_148,plain,
    inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) = add(inverse(X_151),inverse(add(X_151,inverse(X_54)))),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))]]) ).

cnf(refute_0_149,plain,
    ( inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) != add(inverse(X_151),inverse(add(X_151,inverse(X_54))))
    | inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) != add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))
    | add(inverse(X_151),inverse(add(X_151,inverse(X_54)))) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))),add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))) ),[0],$fot(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))]]) ).

cnf(refute_0_150,plain,
    ( inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) != add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))
    | add(inverse(X_151),inverse(add(X_151,inverse(X_54)))) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))),add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    add(inverse(X_151),inverse(add(X_151,inverse(X_54)))) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))),add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))) )],[refute_0_147,refute_0_150]) ).

cnf(refute_0_152,plain,
    add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))))))),
    inference(subst,[],[refute_0_130:[bind(X_81,$fot(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))))]]) ).

cnf(refute_0_153,plain,
    inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
    inference(subst,[],[refute_0_29:[bind(X_0,$fot(inverse(add(X_15,X_11)))),bind(X_1,$fot(inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))))]]) ).

cnf(refute_0_154,plain,
    inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))) = X_11,
    inference(subst,[],[refute_0_29:[bind(C,$fot(X_11)),bind(D,$fot(X_12)),bind(X_0,$fot(X_13)),bind(X_1,$fot(X_14)),bind(X_2,$fot(X_15))]]) ).

cnf(refute_0_155,plain,
    ( inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))) != X_11
    | inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
    | inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_11,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) ),[0,0,1,0,0,0,0],$fot(X_11)]]) ).

cnf(refute_0_156,plain,
    ( inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
    | inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_11,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))),X_11) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_11,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(X_13,X_14)),X_15)),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[refute_0_153,refute_0_156]) ).

cnf(refute_0_158,plain,
    inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) = X_60,
    inference(subst,[],[refute_0_157:[bind(C,$fot(X_60)),bind(D,$fot(X_61)),bind(X_11,$fot(inverse(X_49))),bind(X_2,$fot(inverse(add(add(inverse(X_49),X_49),X_49))))]]) ).

cnf(refute_0_159,plain,
    inverse(inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))))) = add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))))]]) ).

cnf(refute_0_160,plain,
    inverse(add(inverse(add(inverse(add(add(inverse(X_47),X_47),inverse(X_47))),X_47)),inverse(add(add(inverse(X_47),X_47),X_47)))) = X_47,
    inference(subst,[],[refute_0_23:[bind(A,$fot(add(inverse(X_47),X_47))),bind(B,$fot(inverse(X_47))),bind(C,$fot(X_47))]]) ).

cnf(refute_0_161,plain,
    inverse(add(inverse(add(add(inverse(X_47),X_47),inverse(X_47))),X_47)) = inverse(X_47),
    inference(subst,[],[refute_0_55:[bind(X_19,$fot(X_47))]]) ).

cnf(refute_0_162,plain,
    ( inverse(add(inverse(add(add(inverse(X_47),X_47),inverse(X_47))),X_47)) != inverse(X_47)
    | inverse(add(inverse(add(inverse(add(add(inverse(X_47),X_47),inverse(X_47))),X_47)),inverse(add(add(inverse(X_47),X_47),X_47)))) != X_47
    | inverse(add(inverse(X_47),inverse(add(add(inverse(X_47),X_47),X_47)))) = X_47 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_47),X_47),inverse(X_47))),X_47)),inverse(add(add(inverse(X_47),X_47),X_47)))),X_47) ),[0,0,0],$fot(inverse(X_47))]]) ).

cnf(refute_0_163,plain,
    ( inverse(add(inverse(add(inverse(add(add(inverse(X_47),X_47),inverse(X_47))),X_47)),inverse(add(add(inverse(X_47),X_47),X_47)))) != X_47
    | inverse(add(inverse(X_47),inverse(add(add(inverse(X_47),X_47),X_47)))) = X_47 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_47),X_47),inverse(X_47))),X_47)),inverse(X_47)) )],[refute_0_161,refute_0_162]) ).

cnf(refute_0_164,plain,
    inverse(add(inverse(X_47),inverse(add(add(inverse(X_47),X_47),X_47)))) = X_47,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_47),X_47),inverse(X_47))),X_47)),inverse(add(add(inverse(X_47),X_47),X_47)))),X_47) )],[refute_0_160,refute_0_163]) ).

cnf(refute_0_165,plain,
    inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))) = X_49,
    inference(subst,[],[refute_0_164:[bind(X_47,$fot(X_49))]]) ).

cnf(refute_0_166,plain,
    ( inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))) != X_49
    | inverse(inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))))) != add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))
    | inverse(X_49) = add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))))),add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))) ),[0,0],$fot(X_49)]]) ).

cnf(refute_0_167,plain,
    ( inverse(inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))))) != add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))
    | inverse(X_49) = add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))),X_49) )],[refute_0_165,refute_0_166]) ).

cnf(refute_0_168,plain,
    inverse(X_49) = add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))))),add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))) )],[refute_0_159,refute_0_167]) ).

cnf(refute_0_169,plain,
    ( inverse(X_49) != add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))
    | add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))) = inverse(X_49) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(inverse(X_49))),bind(Y,$fot(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))))]]) ).

cnf(refute_0_170,plain,
    add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))) = inverse(X_49),
    inference(resolve,[$cnf( $equal(inverse(X_49),add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))) )],[refute_0_168,refute_0_169]) ).

cnf(refute_0_171,plain,
    ( add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))) != inverse(X_49)
    | inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) != X_60
    | inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) = X_60 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))),X_60) ),[0,0,1,0,0,0],$fot(inverse(X_49))]]) ).

cnf(refute_0_172,plain,
    ( inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) != X_60
    | inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) = X_60 ),
    inference(resolve,[$cnf( $equal(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49))),inverse(X_49)) )],[refute_0_170,refute_0_171]) ).

cnf(refute_0_173,plain,
    inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) = X_60,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(add(inverse(X_49),inverse(add(add(inverse(X_49),X_49),X_49)))),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))),X_60) )],[refute_0_158,refute_0_172]) ).

cnf(refute_0_174,plain,
    inverse(inverse(X_49)) = X_49,
    inference(subst,[],[refute_0_109:[bind(C,$fot(X_49))]]) ).

cnf(refute_0_175,plain,
    add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))) = add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))]]) ).

cnf(refute_0_176,plain,
    ( add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))) != add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))
    | inverse(inverse(X_49)) != X_49
    | add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))) = add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))),add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) ),[1,0],$fot(X_49)]]) ).

cnf(refute_0_177,plain,
    ( inverse(inverse(X_49)) != X_49
    | add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))) = add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))),add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) )],[refute_0_175,refute_0_176]) ).

cnf(refute_0_178,plain,
    add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))) = add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_49)),X_49) )],[refute_0_174,refute_0_177]) ).

cnf(refute_0_179,plain,
    inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) = inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))]]) ).

cnf(refute_0_180,plain,
    ( add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))) != add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))
    | inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) != inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))
    | inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) = inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) ),[1,0],$fot(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))]]) ).

cnf(refute_0_181,plain,
    ( add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))) != add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))
    | inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) = inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) = inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))),add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) )],[refute_0_178,refute_0_181]) ).

cnf(refute_0_183,plain,
    add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) = add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))))]]) ).

cnf(refute_0_184,plain,
    ( add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) != add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))
    | inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) != inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))
    | add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) = add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))),add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) ),[1,1],$fot(inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))]]) ).

cnf(refute_0_185,plain,
    ( inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))) != inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))
    | add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) = add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))),add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) )],[refute_0_183,refute_0_184]) ).

cnf(refute_0_186,plain,
    add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) = add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) )],[refute_0_182,refute_0_185]) ).

cnf(refute_0_187,plain,
    inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) = inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))))]]) ).

cnf(refute_0_188,plain,
    ( add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) != add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))
    | inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) != inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))))
    | inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) = inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))),inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))))) ),[1,0],$fot(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))))]]) ).

cnf(refute_0_189,plain,
    ( add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))) != add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))
    | inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) = inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))),inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))))) )],[refute_0_187,refute_0_188]) ).

cnf(refute_0_190,plain,
    inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) = inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))),add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) )],[refute_0_186,refute_0_189]) ).

cnf(refute_0_191,plain,
    ( inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) != X_60
    | inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) != inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))))
    | inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) = X_60 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))),X_60) ),[0],$fot(inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))))]]) ).

cnf(refute_0_192,plain,
    ( inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) != X_60
    | inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) = X_60 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))),inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61))))))))) )],[refute_0_190,refute_0_191]) ).

cnf(refute_0_193,plain,
    inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(X_49,inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))) = X_60,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_49),X_49),X_49)),X_60)),inverse(add(inverse(inverse(X_49)),inverse(add(inverse(X_60),inverse(add(X_60,X_61)))))))),X_60) )],[refute_0_173,refute_0_192]) ).

cnf(refute_0_194,plain,
    inverse(add(inverse(add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160))),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) = inverse(X_160),
    inference(subst,[],[refute_0_193:[bind(X_49,$fot(X_160)),bind(X_60,$fot(inverse(X_160))),bind(X_61,$fot(X_162))]]) ).

cnf(refute_0_195,plain,
    inverse(inverse(add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82)))) = add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82)),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82))))]]) ).

cnf(refute_0_196,plain,
    inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))))))) = inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))),
    inference(subst,[],[refute_0_72:[bind(X_45,$fot(X_80)),bind(X_46,$fot(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))]]) ).

cnf(refute_0_197,plain,
    inverse(inverse(C)) = add(inverse(inverse(C)),inverse(add(add(inverse(inverse(C)),inverse(C)),inverse(C)))),
    inference(subst,[],[refute_0_168:[bind(X_49,$fot(inverse(C)))]]) ).

cnf(refute_0_198,plain,
    ( inverse(inverse(C)) != C
    | inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(add(inverse(inverse(C)),inverse(C)),inverse(C))))
    | inverse(inverse(C)) = add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(C)),add(inverse(inverse(C)),inverse(add(add(inverse(inverse(C)),inverse(C)),inverse(C))))) ),[1,1,0,0,0],$fot(C)]]) ).

cnf(refute_0_199,plain,
    ( inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(add(inverse(inverse(C)),inverse(C)),inverse(C))))
    | inverse(inverse(C)) = add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_198]) ).

cnf(refute_0_200,plain,
    inverse(inverse(C)) = add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),add(inverse(inverse(C)),inverse(add(add(inverse(inverse(C)),inverse(C)),inverse(C))))) )],[refute_0_197,refute_0_199]) ).

cnf(refute_0_201,plain,
    ( inverse(inverse(C)) != C
    | inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C))))
    | C = add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(C)),add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C))))) ),[0],$fot(C)]]) ).

cnf(refute_0_202,plain,
    ( inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C))))
    | C = add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_201]) ).

cnf(refute_0_203,plain,
    add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))) = add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))))]]) ).

cnf(refute_0_204,plain,
    ( add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))) != add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C))))
    | inverse(inverse(C)) != C
    | add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))) = add(C,inverse(add(add(C,inverse(C)),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))),add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C))))) ),[1,0],$fot(C)]]) ).

cnf(refute_0_205,plain,
    ( inverse(inverse(C)) != C
    | add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))) = add(C,inverse(add(add(C,inverse(C)),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))),add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C))))) )],[refute_0_203,refute_0_204]) ).

cnf(refute_0_206,plain,
    add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))) = add(C,inverse(add(add(C,inverse(C)),inverse(C)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_205]) ).

cnf(refute_0_207,plain,
    ( C != add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C))))
    | add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))) != add(C,inverse(add(add(C,inverse(C)),inverse(C))))
    | C = add(C,inverse(add(add(C,inverse(C)),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(C,add(C,inverse(add(add(C,inverse(C)),inverse(C))))) ),[0],$fot(add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))))]]) ).

cnf(refute_0_208,plain,
    ( C != add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C))))
    | C = add(C,inverse(add(add(C,inverse(C)),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C)))),add(C,inverse(add(add(C,inverse(C)),inverse(C))))) )],[refute_0_206,refute_0_207]) ).

cnf(refute_0_209,plain,
    ( inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C))))
    | C = add(C,inverse(add(add(C,inverse(C)),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(C,add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C))))) )],[refute_0_202,refute_0_208]) ).

cnf(refute_0_210,plain,
    C = add(C,inverse(add(add(C,inverse(C)),inverse(C)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),add(inverse(inverse(C)),inverse(add(add(C,inverse(C)),inverse(C))))) )],[refute_0_200,refute_0_209]) ).

cnf(refute_0_211,plain,
    inverse(X_80) = add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))),
    inference(subst,[],[refute_0_210:[bind(C,$fot(inverse(X_80)))]]) ).

cnf(refute_0_212,plain,
    ( inverse(X_80) != add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))
    | add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))) = inverse(X_80) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(inverse(X_80))),bind(Y,$fot(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))))]]) ).

cnf(refute_0_213,plain,
    add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))) = inverse(X_80),
    inference(resolve,[$cnf( $equal(inverse(X_80),add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) )],[refute_0_211,refute_0_212]) ).

cnf(refute_0_214,plain,
    ( add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))) != inverse(X_80)
    | inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))))))) != inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))))))),inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))) ),[0,0,1,0,1,0],$fot(inverse(X_80))]]) ).

cnf(refute_0_215,plain,
    ( inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))))))) != inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))),inverse(X_80)) )],[refute_0_213,refute_0_214]) ).

cnf(refute_0_216,plain,
    inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))))))),inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))) )],[refute_0_196,refute_0_215]) ).

cnf(refute_0_217,plain,
    inverse(add(inverse(add(inverse(inverse(X_20)),X_20)),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) = add(inverse(inverse(X_20)),X_20),
    inference(subst,[],[refute_0_19:[bind(C,$fot(add(inverse(inverse(X_20)),X_20)))]]) ).

cnf(refute_0_218,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(X_2))),X_2)),inverse(inverse(X_2)))),inverse(X_2))),X_2)) = inverse(X_2),
    inference(subst,[],[refute_0_5:[bind(B,$fot(inverse(inverse(X_2)))),bind(X_1,$fot(inverse(X_2)))]]) ).

cnf(refute_0_219,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(X_2))),X_2)),inverse(inverse(X_2)))),inverse(X_2))) = inverse(inverse(X_2)),
    inference(subst,[],[refute_0_50:[bind(B,$fot(X_2)),bind(X_2,$fot(inverse(X_2)))]]) ).

cnf(refute_0_220,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(X_2))),X_2)),inverse(inverse(X_2)))),inverse(X_2))),X_2)) != inverse(X_2)
    | inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(X_2))),X_2)),inverse(inverse(X_2)))),inverse(X_2))) != inverse(inverse(X_2))
    | inverse(add(inverse(inverse(X_2)),X_2)) = inverse(X_2) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(X_2))),X_2)),inverse(inverse(X_2)))),inverse(X_2))),X_2)),inverse(X_2)) ),[0,0,0],$fot(inverse(inverse(X_2)))]]) ).

cnf(refute_0_221,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(X_2))),X_2)),inverse(inverse(X_2)))),inverse(X_2))),X_2)) != inverse(X_2)
    | inverse(add(inverse(inverse(X_2)),X_2)) = inverse(X_2) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(X_2))),X_2)),inverse(inverse(X_2)))),inverse(X_2))),inverse(inverse(X_2))) )],[refute_0_219,refute_0_220]) ).

cnf(refute_0_222,plain,
    inverse(add(inverse(inverse(X_2)),X_2)) = inverse(X_2),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),inverse(X_2))),X_2)),inverse(inverse(X_2)))),inverse(X_2))),X_2)),inverse(X_2)) )],[refute_0_218,refute_0_221]) ).

cnf(refute_0_223,plain,
    inverse(add(inverse(inverse(X_20)),X_20)) = inverse(X_20),
    inference(subst,[],[refute_0_222:[bind(X_2,$fot(X_20))]]) ).

cnf(refute_0_224,plain,
    ( inverse(add(inverse(add(inverse(inverse(X_20)),X_20)),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) != add(inverse(inverse(X_20)),X_20)
    | inverse(add(inverse(inverse(X_20)),X_20)) != inverse(X_20)
    | inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) = add(inverse(inverse(X_20)),X_20) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(X_20)),X_20)),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))),add(inverse(inverse(X_20)),X_20)) ),[0,0,0],$fot(inverse(X_20))]]) ).

cnf(refute_0_225,plain,
    ( inverse(add(inverse(add(inverse(inverse(X_20)),X_20)),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) != add(inverse(inverse(X_20)),X_20)
    | inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) = add(inverse(inverse(X_20)),X_20) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_20)),X_20)),inverse(X_20)) )],[refute_0_223,refute_0_224]) ).

cnf(refute_0_226,plain,
    inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) = add(inverse(inverse(X_20)),X_20),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(X_20)),X_20)),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))),add(inverse(inverse(X_20)),X_20)) )],[refute_0_217,refute_0_225]) ).

cnf(refute_0_227,plain,
    inverse(inverse(X_20)) = X_20,
    inference(subst,[],[refute_0_109:[bind(C,$fot(X_20))]]) ).

cnf(refute_0_228,plain,
    inverse(add(inverse(add(inverse(X_10),inverse(add(X_10,X_10)))),inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) = add(inverse(X_10),inverse(add(X_10,X_10))),
    inference(subst,[],[refute_0_19:[bind(C,$fot(add(inverse(X_10),inverse(add(X_10,X_10)))))]]) ).

cnf(refute_0_229,plain,
    inverse(add(inverse(X_10),inverse(add(X_10,X_10)))) = X_10,
    inference(subst,[],[refute_0_19:[bind(C,$fot(X_10))]]) ).

cnf(refute_0_230,plain,
    ( inverse(add(inverse(X_10),inverse(add(X_10,X_10)))) != X_10
    | inverse(add(inverse(add(inverse(X_10),inverse(add(X_10,X_10)))),inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) != add(inverse(X_10),inverse(add(X_10,X_10)))
    | inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) = add(inverse(X_10),inverse(add(X_10,X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(X_10),inverse(add(X_10,X_10)))),inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))),add(inverse(X_10),inverse(add(X_10,X_10)))) ),[0,0,0],$fot(X_10)]]) ).

cnf(refute_0_231,plain,
    ( inverse(add(inverse(add(inverse(X_10),inverse(add(X_10,X_10)))),inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) != add(inverse(X_10),inverse(add(X_10,X_10)))
    | inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) = add(inverse(X_10),inverse(add(X_10,X_10))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_10),inverse(add(X_10,X_10)))),X_10) )],[refute_0_229,refute_0_230]) ).

cnf(refute_0_232,plain,
    inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) = add(inverse(X_10),inverse(add(X_10,X_10))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_10),inverse(add(X_10,X_10)))),inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))),add(inverse(X_10),inverse(add(X_10,X_10)))) )],[refute_0_228,refute_0_231]) ).

cnf(refute_0_233,plain,
    inverse(add(X_10,X_10)) = inverse(X_10),
    inference(subst,[],[refute_0_88:[bind(X_46,$fot(X_10))]]) ).

cnf(refute_0_234,plain,
    inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))) = inverse(add(inverse(X_10),inverse(add(X_10,X_10)))),
    inference(subst,[],[refute_0_88:[bind(X_46,$fot(add(inverse(X_10),inverse(add(X_10,X_10)))))]]) ).

cnf(refute_0_235,plain,
    ( inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))) != inverse(add(inverse(X_10),inverse(add(X_10,X_10))))
    | inverse(add(inverse(X_10),inverse(add(X_10,X_10)))) != X_10
    | inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))) = X_10 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))),bind(Y,$fot(inverse(add(inverse(X_10),inverse(add(X_10,X_10)))))),bind(Z,$fot(X_10))]]) ).

cnf(refute_0_236,plain,
    ( inverse(add(inverse(X_10),inverse(add(X_10,X_10)))) != X_10
    | inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))) = X_10 ),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))),inverse(add(inverse(X_10),inverse(add(X_10,X_10))))) )],[refute_0_234,refute_0_235]) ).

cnf(refute_0_237,plain,
    inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))) = X_10,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_10),inverse(add(X_10,X_10)))),X_10) )],[refute_0_229,refute_0_236]) ).

cnf(refute_0_238,plain,
    add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))) = add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))),
    introduced(tautology,[refl,[$fot(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))))]]) ).

cnf(refute_0_239,plain,
    ( add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))) != add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))
    | inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))) != X_10
    | add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))) = add(X_10,X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))),add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) ),[1,1],$fot(X_10)]]) ).

cnf(refute_0_240,plain,
    ( inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))) != X_10
    | add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))) = add(X_10,X_10) ),
    inference(resolve,[$cnf( $equal(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))),add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) )],[refute_0_238,refute_0_239]) ).

cnf(refute_0_241,plain,
    add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))) = add(X_10,X_10),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))),X_10) )],[refute_0_237,refute_0_240]) ).

cnf(refute_0_242,plain,
    inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) = inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))),
    introduced(tautology,[refl,[$fot(inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))))]]) ).

cnf(refute_0_243,plain,
    ( add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))) != add(X_10,X_10)
    | inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) != inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))))
    | inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) = inverse(add(X_10,X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))),inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))))) ),[1,0],$fot(add(X_10,X_10))]]) ).

cnf(refute_0_244,plain,
    ( add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))) != add(X_10,X_10)
    | inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) = inverse(add(X_10,X_10)) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))),inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))))) )],[refute_0_242,refute_0_243]) ).

cnf(refute_0_245,plain,
    inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) = inverse(add(X_10,X_10)),
    inference(resolve,[$cnf( $equal(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))))),add(X_10,X_10)) )],[refute_0_241,refute_0_244]) ).

cnf(refute_0_246,plain,
    ( inverse(add(X_10,X_10)) != inverse(X_10)
    | inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) != inverse(add(X_10,X_10))
    | inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) = inverse(X_10) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))))),bind(Y,$fot(inverse(add(X_10,X_10)))),bind(Z,$fot(inverse(X_10)))]]) ).

cnf(refute_0_247,plain,
    ( inverse(add(X_10,X_10)) != inverse(X_10)
    | inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) = inverse(X_10) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))),inverse(add(X_10,X_10))) )],[refute_0_245,refute_0_246]) ).

cnf(refute_0_248,plain,
    inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) = inverse(X_10),
    inference(resolve,[$cnf( $equal(inverse(add(X_10,X_10)),inverse(X_10)) )],[refute_0_233,refute_0_247]) ).

cnf(refute_0_249,plain,
    ( inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) != add(inverse(X_10),inverse(add(X_10,X_10)))
    | inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) != inverse(X_10)
    | inverse(X_10) = add(inverse(X_10),inverse(add(X_10,X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))),add(inverse(X_10),inverse(add(X_10,X_10)))) ),[0],$fot(inverse(X_10))]]) ).

cnf(refute_0_250,plain,
    ( inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) != add(inverse(X_10),inverse(add(X_10,X_10)))
    | inverse(X_10) = add(inverse(X_10),inverse(add(X_10,X_10))) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))),inverse(X_10)) )],[refute_0_248,refute_0_249]) ).

cnf(refute_0_251,plain,
    add(inverse(X_10),inverse(add(X_10,X_10))) = add(inverse(X_10),inverse(add(X_10,X_10))),
    introduced(tautology,[refl,[$fot(add(inverse(X_10),inverse(add(X_10,X_10))))]]) ).

cnf(refute_0_252,plain,
    ( add(inverse(X_10),inverse(add(X_10,X_10))) != add(inverse(X_10),inverse(add(X_10,X_10)))
    | inverse(add(X_10,X_10)) != inverse(X_10)
    | add(inverse(X_10),inverse(add(X_10,X_10))) = add(inverse(X_10),inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))) ),[1,1],$fot(inverse(X_10))]]) ).

cnf(refute_0_253,plain,
    ( inverse(add(X_10,X_10)) != inverse(X_10)
    | add(inverse(X_10),inverse(add(X_10,X_10))) = add(inverse(X_10),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10)))) )],[refute_0_251,refute_0_252]) ).

cnf(refute_0_254,plain,
    add(inverse(X_10),inverse(add(X_10,X_10))) = add(inverse(X_10),inverse(X_10)),
    inference(resolve,[$cnf( $equal(inverse(add(X_10,X_10)),inverse(X_10)) )],[refute_0_233,refute_0_253]) ).

cnf(refute_0_255,plain,
    ( add(inverse(X_10),inverse(add(X_10,X_10))) != add(inverse(X_10),inverse(X_10))
    | inverse(X_10) != add(inverse(X_10),inverse(add(X_10,X_10)))
    | inverse(X_10) = add(inverse(X_10),inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(X_10),add(inverse(X_10),inverse(add(X_10,X_10)))) ),[1],$fot(add(inverse(X_10),inverse(X_10)))]]) ).

cnf(refute_0_256,plain,
    ( inverse(X_10) != add(inverse(X_10),inverse(add(X_10,X_10)))
    | inverse(X_10) = add(inverse(X_10),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(X_10))) )],[refute_0_254,refute_0_255]) ).

cnf(refute_0_257,plain,
    ( inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))) != add(inverse(X_10),inverse(add(X_10,X_10)))
    | inverse(X_10) = add(inverse(X_10),inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(inverse(X_10),add(inverse(X_10),inverse(add(X_10,X_10)))) )],[refute_0_250,refute_0_256]) ).

cnf(refute_0_258,plain,
    inverse(X_10) = add(inverse(X_10),inverse(X_10)),
    inference(resolve,[$cnf( $equal(inverse(add(X_10,inverse(add(add(inverse(X_10),inverse(add(X_10,X_10))),add(inverse(X_10),inverse(add(X_10,X_10))))))),add(inverse(X_10),inverse(add(X_10,X_10)))) )],[refute_0_232,refute_0_257]) ).

cnf(refute_0_259,plain,
    ( inverse(X_10) != add(inverse(X_10),inverse(X_10))
    | add(inverse(X_10),inverse(X_10)) = inverse(X_10) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(add(inverse(X_10),inverse(X_10))))]]) ).

cnf(refute_0_260,plain,
    add(inverse(X_10),inverse(X_10)) = inverse(X_10),
    inference(resolve,[$cnf( $equal(inverse(X_10),add(inverse(X_10),inverse(X_10))) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    add(inverse(X_20),inverse(X_20)) = inverse(X_20),
    inference(subst,[],[refute_0_260:[bind(X_10,$fot(X_20))]]) ).

cnf(refute_0_262,plain,
    inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))) = inverse(add(inverse(inverse(X_20)),X_20)),
    inference(subst,[],[refute_0_88:[bind(X_46,$fot(add(inverse(inverse(X_20)),X_20)))]]) ).

cnf(refute_0_263,plain,
    ( inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))) != inverse(add(inverse(inverse(X_20)),X_20))
    | inverse(add(inverse(inverse(X_20)),X_20)) != inverse(X_20)
    | inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))) = inverse(X_20) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))),bind(Y,$fot(inverse(add(inverse(inverse(X_20)),X_20)))),bind(Z,$fot(inverse(X_20)))]]) ).

cnf(refute_0_264,plain,
    ( inverse(add(inverse(inverse(X_20)),X_20)) != inverse(X_20)
    | inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))) = inverse(X_20) ),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))),inverse(add(inverse(inverse(X_20)),X_20))) )],[refute_0_262,refute_0_263]) ).

cnf(refute_0_265,plain,
    inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))) = inverse(X_20),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_20)),X_20)),inverse(X_20)) )],[refute_0_223,refute_0_264]) ).

cnf(refute_0_266,plain,
    add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))) = add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))),
    introduced(tautology,[refl,[$fot(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))))]]) ).

cnf(refute_0_267,plain,
    ( add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))) != add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))
    | inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))) != inverse(X_20)
    | add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))) = add(inverse(X_20),inverse(X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))),add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) ),[1,1],$fot(inverse(X_20))]]) ).

cnf(refute_0_268,plain,
    ( inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))) != inverse(X_20)
    | add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))) = add(inverse(X_20),inverse(X_20)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))),add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) )],[refute_0_266,refute_0_267]) ).

cnf(refute_0_269,plain,
    add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))) = add(inverse(X_20),inverse(X_20)),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))),inverse(X_20)) )],[refute_0_265,refute_0_268]) ).

cnf(refute_0_270,plain,
    ( add(inverse(X_20),inverse(X_20)) != inverse(X_20)
    | add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))) != add(inverse(X_20),inverse(X_20))
    | add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))) = inverse(X_20) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))))),bind(Y,$fot(add(inverse(X_20),inverse(X_20)))),bind(Z,$fot(inverse(X_20)))]]) ).

cnf(refute_0_271,plain,
    ( add(inverse(X_20),inverse(X_20)) != inverse(X_20)
    | add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))) = inverse(X_20) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))),add(inverse(X_20),inverse(X_20))) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))) = inverse(X_20),
    inference(resolve,[$cnf( $equal(add(inverse(X_20),inverse(X_20)),inverse(X_20)) )],[refute_0_261,refute_0_271]) ).

cnf(refute_0_273,plain,
    inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) = inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))))]]) ).

cnf(refute_0_274,plain,
    ( add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))) != inverse(X_20)
    | inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) != inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))))
    | inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) = inverse(inverse(X_20)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))),inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))))) ),[1,0],$fot(inverse(X_20))]]) ).

cnf(refute_0_275,plain,
    ( add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))) != inverse(X_20)
    | inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) = inverse(inverse(X_20)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))),inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))))) )],[refute_0_273,refute_0_274]) ).

cnf(refute_0_276,plain,
    inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) = inverse(inverse(X_20)),
    inference(resolve,[$cnf( $equal(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)))),inverse(X_20)) )],[refute_0_272,refute_0_275]) ).

cnf(refute_0_277,plain,
    ( inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) != inverse(inverse(X_20))
    | inverse(inverse(X_20)) != X_20
    | inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) = X_20 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))))),bind(Y,$fot(inverse(inverse(X_20)))),bind(Z,$fot(X_20))]]) ).

cnf(refute_0_278,plain,
    ( inverse(inverse(X_20)) != X_20
    | inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) = X_20 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))),inverse(inverse(X_20))) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) = X_20,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_20)),X_20) )],[refute_0_227,refute_0_278]) ).

cnf(refute_0_280,plain,
    ( inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) != X_20
    | inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) != add(inverse(inverse(X_20)),X_20)
    | X_20 = add(inverse(inverse(X_20)),X_20) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))),add(inverse(inverse(X_20)),X_20)) ),[0],$fot(X_20)]]) ).

cnf(refute_0_281,plain,
    ( inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) != add(inverse(inverse(X_20)),X_20)
    | X_20 = add(inverse(inverse(X_20)),X_20) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))),X_20) )],[refute_0_279,refute_0_280]) ).

cnf(refute_0_282,plain,
    add(inverse(inverse(X_20)),X_20) = add(inverse(inverse(X_20)),X_20),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(X_20)),X_20))]]) ).

cnf(refute_0_283,plain,
    ( add(inverse(inverse(X_20)),X_20) != add(inverse(inverse(X_20)),X_20)
    | inverse(inverse(X_20)) != X_20
    | add(inverse(inverse(X_20)),X_20) = add(X_20,X_20) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)) ),[1,0],$fot(X_20)]]) ).

cnf(refute_0_284,plain,
    ( inverse(inverse(X_20)) != X_20
    | add(inverse(inverse(X_20)),X_20) = add(X_20,X_20) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20)) )],[refute_0_282,refute_0_283]) ).

cnf(refute_0_285,plain,
    add(inverse(inverse(X_20)),X_20) = add(X_20,X_20),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_20)),X_20) )],[refute_0_227,refute_0_284]) ).

cnf(refute_0_286,plain,
    ( X_20 != add(inverse(inverse(X_20)),X_20)
    | add(inverse(inverse(X_20)),X_20) != add(X_20,X_20)
    | X_20 = add(X_20,X_20) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_20,add(X_20,X_20)) ),[0],$fot(add(inverse(inverse(X_20)),X_20))]]) ).

cnf(refute_0_287,plain,
    ( X_20 != add(inverse(inverse(X_20)),X_20)
    | X_20 = add(X_20,X_20) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_20)),X_20),add(X_20,X_20)) )],[refute_0_285,refute_0_286]) ).

cnf(refute_0_288,plain,
    ( inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))) != add(inverse(inverse(X_20)),X_20)
    | X_20 = add(X_20,X_20) ),
    inference(resolve,[$cnf( $equal(X_20,add(inverse(inverse(X_20)),X_20)) )],[refute_0_281,refute_0_287]) ).

cnf(refute_0_289,plain,
    X_20 = add(X_20,X_20),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_20),inverse(add(add(inverse(inverse(X_20)),X_20),add(inverse(inverse(X_20)),X_20))))),add(inverse(inverse(X_20)),X_20)) )],[refute_0_226,refute_0_288]) ).

cnf(refute_0_290,plain,
    ( X_20 != add(X_20,X_20)
    | add(X_20,X_20) = X_20 ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(X_20)),bind(Y,$fot(add(X_20,X_20)))]]) ).

cnf(refute_0_291,plain,
    add(X_20,X_20) = X_20,
    inference(resolve,[$cnf( $equal(X_20,add(X_20,X_20)) )],[refute_0_289,refute_0_290]) ).

cnf(refute_0_292,plain,
    add(X_80,X_80) = X_80,
    inference(subst,[],[refute_0_291:[bind(X_20,$fot(X_80))]]) ).

cnf(refute_0_293,plain,
    inverse(inverse(X_80)) = X_80,
    inference(subst,[],[refute_0_109:[bind(C,$fot(X_80))]]) ).

cnf(refute_0_294,plain,
    add(X_80,inverse(inverse(X_80))) = add(X_80,inverse(inverse(X_80))),
    introduced(tautology,[refl,[$fot(add(X_80,inverse(inverse(X_80))))]]) ).

cnf(refute_0_295,plain,
    ( add(X_80,inverse(inverse(X_80))) != add(X_80,inverse(inverse(X_80)))
    | inverse(inverse(X_80)) != X_80
    | add(X_80,inverse(inverse(X_80))) = add(X_80,X_80) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_80,inverse(inverse(X_80))),add(X_80,inverse(inverse(X_80)))) ),[1,1],$fot(X_80)]]) ).

cnf(refute_0_296,plain,
    ( inverse(inverse(X_80)) != X_80
    | add(X_80,inverse(inverse(X_80))) = add(X_80,X_80) ),
    inference(resolve,[$cnf( $equal(add(X_80,inverse(inverse(X_80))),add(X_80,inverse(inverse(X_80)))) )],[refute_0_294,refute_0_295]) ).

cnf(refute_0_297,plain,
    add(X_80,inverse(inverse(X_80))) = add(X_80,X_80),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_293,refute_0_296]) ).

cnf(refute_0_298,plain,
    ( add(X_80,X_80) != X_80
    | add(X_80,inverse(inverse(X_80))) != add(X_80,X_80)
    | add(X_80,inverse(inverse(X_80))) = X_80 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(X_80,inverse(inverse(X_80))))),bind(Y,$fot(add(X_80,X_80))),bind(Z,$fot(X_80))]]) ).

cnf(refute_0_299,plain,
    ( add(X_80,X_80) != X_80
    | add(X_80,inverse(inverse(X_80))) = X_80 ),
    inference(resolve,[$cnf( $equal(add(X_80,inverse(inverse(X_80))),add(X_80,X_80)) )],[refute_0_297,refute_0_298]) ).

cnf(refute_0_300,plain,
    add(X_80,inverse(inverse(X_80))) = X_80,
    inference(resolve,[$cnf( $equal(add(X_80,X_80),X_80) )],[refute_0_292,refute_0_299]) ).

cnf(refute_0_301,plain,
    inverse(add(X_80,inverse(inverse(X_80)))) = inverse(add(X_80,inverse(inverse(X_80)))),
    introduced(tautology,[refl,[$fot(inverse(add(X_80,inverse(inverse(X_80)))))]]) ).

cnf(refute_0_302,plain,
    ( add(X_80,inverse(inverse(X_80))) != X_80
    | inverse(add(X_80,inverse(inverse(X_80)))) != inverse(add(X_80,inverse(inverse(X_80))))
    | inverse(add(X_80,inverse(inverse(X_80)))) = inverse(X_80) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_80,inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) ),[1,0],$fot(X_80)]]) ).

cnf(refute_0_303,plain,
    ( add(X_80,inverse(inverse(X_80))) != X_80
    | inverse(add(X_80,inverse(inverse(X_80)))) = inverse(X_80) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_80,inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    inverse(add(X_80,inverse(inverse(X_80)))) = inverse(X_80),
    inference(resolve,[$cnf( $equal(add(X_80,inverse(inverse(X_80))),X_80) )],[refute_0_300,refute_0_303]) ).

cnf(refute_0_305,plain,
    add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))))]]) ).

cnf(refute_0_306,plain,
    ( add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80)))))
    | inverse(add(X_80,inverse(inverse(X_80)))) != inverse(X_80)
    | add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80)))))) ),[1,1],$fot(inverse(X_80))]]) ).

cnf(refute_0_307,plain,
    ( inverse(add(X_80,inverse(inverse(X_80)))) != inverse(X_80)
    | add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80)) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80)))))) )],[refute_0_305,refute_0_306]) ).

cnf(refute_0_308,plain,
    add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80)),
    inference(resolve,[$cnf( $equal(inverse(add(X_80,inverse(inverse(X_80)))),inverse(X_80)) )],[refute_0_304,refute_0_307]) ).

cnf(refute_0_309,plain,
    add(add(inverse(X_80),X_80),inverse(inverse(X_80))) = add(add(inverse(X_80),X_80),inverse(inverse(X_80))),
    introduced(tautology,[refl,[$fot(add(add(inverse(X_80),X_80),inverse(inverse(X_80))))]]) ).

cnf(refute_0_310,plain,
    ( add(add(inverse(X_80),X_80),inverse(inverse(X_80))) != add(add(inverse(X_80),X_80),inverse(inverse(X_80)))
    | inverse(inverse(X_80)) != X_80
    | add(add(inverse(X_80),X_80),inverse(inverse(X_80))) = add(add(inverse(X_80),X_80),X_80) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(X_80),X_80),inverse(inverse(X_80))),add(add(inverse(X_80),X_80),inverse(inverse(X_80)))) ),[1,1],$fot(X_80)]]) ).

cnf(refute_0_311,plain,
    ( inverse(inverse(X_80)) != X_80
    | add(add(inverse(X_80),X_80),inverse(inverse(X_80))) = add(add(inverse(X_80),X_80),X_80) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(X_80),X_80),inverse(inverse(X_80))),add(add(inverse(X_80),X_80),inverse(inverse(X_80)))) )],[refute_0_309,refute_0_310]) ).

cnf(refute_0_312,plain,
    add(add(inverse(X_80),X_80),inverse(inverse(X_80))) = add(add(inverse(X_80),X_80),X_80),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_293,refute_0_311]) ).

cnf(refute_0_313,plain,
    add(inverse(X_80),inverse(inverse(X_80))) = add(inverse(X_80),inverse(inverse(X_80))),
    introduced(tautology,[refl,[$fot(add(inverse(X_80),inverse(inverse(X_80))))]]) ).

cnf(refute_0_314,plain,
    ( add(inverse(X_80),inverse(inverse(X_80))) != add(inverse(X_80),inverse(inverse(X_80)))
    | inverse(inverse(X_80)) != X_80
    | add(inverse(X_80),inverse(inverse(X_80))) = add(inverse(X_80),X_80) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_80),inverse(inverse(X_80))),add(inverse(X_80),inverse(inverse(X_80)))) ),[1,1],$fot(X_80)]]) ).

cnf(refute_0_315,plain,
    ( inverse(inverse(X_80)) != X_80
    | add(inverse(X_80),inverse(inverse(X_80))) = add(inverse(X_80),X_80) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(inverse(X_80))),add(inverse(X_80),inverse(inverse(X_80)))) )],[refute_0_313,refute_0_314]) ).

cnf(refute_0_316,plain,
    add(inverse(X_80),inverse(inverse(X_80))) = add(inverse(X_80),X_80),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_293,refute_0_315]) ).

cnf(refute_0_317,plain,
    add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))),
    introduced(tautology,[refl,[$fot(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))]]) ).

cnf(refute_0_318,plain,
    ( add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))) != add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))
    | add(inverse(X_80),inverse(inverse(X_80))) != add(inverse(X_80),X_80)
    | add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(inverse(X_80),X_80),inverse(inverse(X_80))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))),add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))) ),[1,0],$fot(add(inverse(X_80),X_80))]]) ).

cnf(refute_0_319,plain,
    ( add(inverse(X_80),inverse(inverse(X_80))) != add(inverse(X_80),X_80)
    | add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(inverse(X_80),X_80),inverse(inverse(X_80))) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))),add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))) )],[refute_0_317,refute_0_318]) ).

cnf(refute_0_320,plain,
    add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(inverse(X_80),X_80),inverse(inverse(X_80))),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(inverse(X_80))),add(inverse(X_80),X_80)) )],[refute_0_316,refute_0_319]) ).

cnf(refute_0_321,plain,
    ( add(add(inverse(X_80),X_80),inverse(inverse(X_80))) != add(add(inverse(X_80),X_80),X_80)
    | add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))) != add(add(inverse(X_80),X_80),inverse(inverse(X_80)))
    | add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(inverse(X_80),X_80),X_80) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))),bind(Y,$fot(add(add(inverse(X_80),X_80),inverse(inverse(X_80))))),bind(Z,$fot(add(add(inverse(X_80),X_80),X_80)))]]) ).

cnf(refute_0_322,plain,
    ( add(add(inverse(X_80),X_80),inverse(inverse(X_80))) != add(add(inverse(X_80),X_80),X_80)
    | add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(inverse(X_80),X_80),X_80) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))),add(add(inverse(X_80),X_80),inverse(inverse(X_80)))) )],[refute_0_320,refute_0_321]) ).

cnf(refute_0_323,plain,
    add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(inverse(X_80),X_80),X_80),
    inference(resolve,[$cnf( $equal(add(add(inverse(X_80),X_80),inverse(inverse(X_80))),add(add(inverse(X_80),X_80),X_80)) )],[refute_0_312,refute_0_322]) ).

cnf(refute_0_324,plain,
    inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))) = inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),
    introduced(tautology,[refl,[$fot(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))]]) ).

cnf(refute_0_325,plain,
    ( add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))) != add(add(inverse(X_80),X_80),X_80)
    | inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))) != inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))
    | inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))) = inverse(add(add(inverse(X_80),X_80),X_80)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))) ),[1,0],$fot(add(add(inverse(X_80),X_80),X_80))]]) ).

cnf(refute_0_326,plain,
    ( add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))) != add(add(inverse(X_80),X_80),X_80)
    | inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))) = inverse(add(add(inverse(X_80),X_80),X_80)) ),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))) )],[refute_0_324,refute_0_325]) ).

cnf(refute_0_327,plain,
    inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))) = inverse(add(add(inverse(X_80),X_80),X_80)),
    inference(resolve,[$cnf( $equal(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))),add(add(inverse(X_80),X_80),X_80)) )],[refute_0_323,refute_0_326]) ).

cnf(refute_0_328,plain,
    add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))))]]) ).

cnf(refute_0_329,plain,
    ( add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))
    | inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))) != inverse(add(add(inverse(X_80),X_80),X_80))
    | add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) ),[1,0],$fot(inverse(add(add(inverse(X_80),X_80),X_80)))]]) ).

cnf(refute_0_330,plain,
    ( inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))) != inverse(add(add(inverse(X_80),X_80),X_80))
    | add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(add(inverse(X_80),X_80),X_80))) )],[refute_0_327,refute_0_330]) ).

cnf(refute_0_332,plain,
    ( add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))
    | add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80)))))
    | add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80)) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))))),bind(Y,$fot(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))))),bind(Z,$fot(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))))]]) ).

cnf(refute_0_333,plain,
    ( add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))
    | add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80)) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80)))))) )],[refute_0_331,refute_0_332]) ).

cnf(refute_0_334,plain,
    add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80)),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) )],[refute_0_308,refute_0_333]) ).

cnf(refute_0_335,plain,
    inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))))]]) ).

cnf(refute_0_336,plain,
    ( add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))
    | inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) != inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))))) ),[1,0],$fot(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80)))]]) ).

cnf(refute_0_337,plain,
    ( add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))
    | inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))))) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) )],[refute_0_334,refute_0_337]) ).

cnf(refute_0_339,plain,
    ( inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) != inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) != inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80)))
    | inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) = inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))) ),[0],$fot(inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))))]]) ).

cnf(refute_0_340,plain,
    ( inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) != inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) = inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80)))) )],[refute_0_338,refute_0_339]) ).

cnf(refute_0_341,plain,
    inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))))]]) ).

cnf(refute_0_342,plain,
    ( add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))) != inverse(X_80)
    | inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) != inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = inverse(inverse(X_80)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))),inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))) ),[1,0],$fot(inverse(X_80))]]) ).

cnf(refute_0_343,plain,
    ( add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))) != inverse(X_80)
    | inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = inverse(inverse(X_80)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))),inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))) )],[refute_0_341,refute_0_342]) ).

cnf(refute_0_344,plain,
    inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = inverse(inverse(X_80)),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))),inverse(X_80)) )],[refute_0_213,refute_0_343]) ).

cnf(refute_0_345,plain,
    ( inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) != inverse(inverse(X_80))
    | inverse(inverse(X_80)) != X_80
    | inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = X_80 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))))),bind(Y,$fot(inverse(inverse(X_80)))),bind(Z,$fot(X_80))]]) ).

cnf(refute_0_346,plain,
    ( inverse(inverse(X_80)) != X_80
    | inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = X_80 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))),inverse(inverse(X_80))) )],[refute_0_344,refute_0_345]) ).

cnf(refute_0_347,plain,
    inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = X_80,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_293,refute_0_346]) ).

cnf(refute_0_348,plain,
    ( inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))) != X_80
    | inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) != inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) = X_80 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))),inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))) ),[1],$fot(X_80)]]) ).

cnf(refute_0_349,plain,
    ( inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) != inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) = X_80 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))))),X_80) )],[refute_0_347,refute_0_348]) ).

cnf(refute_0_350,plain,
    ( inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) != inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) = X_80 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))),inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))) )],[refute_0_340,refute_0_349]) ).

cnf(refute_0_351,plain,
    inverse(add(inverse(add(add(inverse(X_80),X_80),X_80)),inverse(X_80))) = X_80,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),inverse(add(inverse(X_80),inverse(add(add(inverse(X_80),inverse(inverse(X_80))),inverse(inverse(X_80))))))) )],[refute_0_216,refute_0_350]) ).

cnf(refute_0_352,plain,
    inverse(add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82))) = X_82,
    inference(subst,[],[refute_0_351:[bind(X_80,$fot(X_82))]]) ).

cnf(refute_0_353,plain,
    ( inverse(add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82))) != X_82
    | inverse(inverse(add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82)))) != add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82))
    | inverse(X_82) = add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82)))),add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82))) ),[0,0],$fot(X_82)]]) ).

cnf(refute_0_354,plain,
    ( inverse(inverse(add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82)))) != add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82))
    | inverse(X_82) = add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82))),X_82) )],[refute_0_352,refute_0_353]) ).

cnf(refute_0_355,plain,
    inverse(X_82) = add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82)),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82)))),add(inverse(add(add(inverse(X_82),X_82),X_82)),inverse(X_82))) )],[refute_0_195,refute_0_354]) ).

cnf(refute_0_356,plain,
    inverse(X_160) = add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160)),
    inference(subst,[],[refute_0_355:[bind(X_82,$fot(X_160))]]) ).

cnf(refute_0_357,plain,
    ( inverse(X_160) != add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160))
    | add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160)) = inverse(X_160) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(inverse(X_160))),bind(Y,$fot(add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160))))]]) ).

cnf(refute_0_358,plain,
    add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160)) = inverse(X_160),
    inference(resolve,[$cnf( $equal(inverse(X_160),add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160))) )],[refute_0_356,refute_0_357]) ).

cnf(refute_0_359,plain,
    ( add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160)) != inverse(X_160)
    | inverse(add(inverse(add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160))),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) != inverse(X_160)
    | inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) = inverse(X_160) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160))),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))),inverse(X_160)) ),[0,0,0,0],$fot(inverse(X_160))]]) ).

cnf(refute_0_360,plain,
    ( inverse(add(inverse(add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160))),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) != inverse(X_160)
    | inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) = inverse(X_160) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160)),inverse(X_160)) )],[refute_0_358,refute_0_359]) ).

cnf(refute_0_361,plain,
    inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) = inverse(X_160),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_160),X_160),X_160)),inverse(X_160))),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))),inverse(X_160)) )],[refute_0_194,refute_0_360]) ).

cnf(refute_0_362,plain,
    inverse(inverse(X_160)) = X_160,
    inference(subst,[],[refute_0_109:[bind(C,$fot(X_160))]]) ).

cnf(refute_0_363,plain,
    add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))) = add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))]]) ).

cnf(refute_0_364,plain,
    ( add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))) != add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))
    | inverse(inverse(X_160)) != X_160
    | add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))) = add(X_160,inverse(add(inverse(X_160),X_162))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))),add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))) ),[1,0],$fot(X_160)]]) ).

cnf(refute_0_365,plain,
    ( inverse(inverse(X_160)) != X_160
    | add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))) = add(X_160,inverse(add(inverse(X_160),X_162))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))),add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))) )],[refute_0_363,refute_0_364]) ).

cnf(refute_0_366,plain,
    add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))) = add(X_160,inverse(add(inverse(X_160),X_162))),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_160)),X_160) )],[refute_0_362,refute_0_365]) ).

cnf(refute_0_367,plain,
    inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))) = inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))]]) ).

cnf(refute_0_368,plain,
    ( add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))) != add(X_160,inverse(add(inverse(X_160),X_162)))
    | inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))) != inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))
    | inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))) = inverse(add(X_160,inverse(add(inverse(X_160),X_162)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))),inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))) ),[1,0],$fot(add(X_160,inverse(add(inverse(X_160),X_162))))]]) ).

cnf(refute_0_369,plain,
    ( add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))) != add(X_160,inverse(add(inverse(X_160),X_162)))
    | inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))) = inverse(add(X_160,inverse(add(inverse(X_160),X_162)))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))),inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))) )],[refute_0_367,refute_0_368]) ).

cnf(refute_0_370,plain,
    inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))) = inverse(add(X_160,inverse(add(inverse(X_160),X_162)))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))),add(X_160,inverse(add(inverse(X_160),X_162)))) )],[refute_0_366,refute_0_369]) ).

cnf(refute_0_371,plain,
    add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))) = add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))),
    introduced(tautology,[refl,[$fot(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))]]) ).

cnf(refute_0_372,plain,
    ( add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))) != add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))
    | inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))) != inverse(add(X_160,inverse(add(inverse(X_160),X_162))))
    | add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))) = add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))),add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))) ),[1,1],$fot(inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))]]) ).

cnf(refute_0_373,plain,
    ( inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))) != inverse(add(X_160,inverse(add(inverse(X_160),X_162))))
    | add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))) = add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))) ),
    inference(resolve,[$cnf( $equal(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))),add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))) )],[refute_0_371,refute_0_372]) ).

cnf(refute_0_374,plain,
    add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))) = add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))),inverse(add(X_160,inverse(add(inverse(X_160),X_162))))) )],[refute_0_370,refute_0_373]) ).

cnf(refute_0_375,plain,
    inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))) = inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))),
    introduced(tautology,[refl,[$fot(inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))]]) ).

cnf(refute_0_376,plain,
    ( add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))) != add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))
    | inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))) != inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))
    | inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))) = inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) ),[1,0],$fot(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))]]) ).

cnf(refute_0_377,plain,
    ( add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))) != add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))
    | inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))) = inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) )],[refute_0_375,refute_0_376]) ).

cnf(refute_0_378,plain,
    inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))) = inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))),
    inference(resolve,[$cnf( $equal(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))),add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))) )],[refute_0_374,refute_0_377]) ).

cnf(refute_0_379,plain,
    add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) = add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))),
    introduced(tautology,[refl,[$fot(add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))))]]) ).

cnf(refute_0_380,plain,
    ( add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) != add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))
    | inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))) != inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))
    | add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) = add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))),add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) ),[1,1],$fot(inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))]]) ).

cnf(refute_0_381,plain,
    ( inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))) != inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))
    | add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) = add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))) ),
    inference(resolve,[$cnf( $equal(add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))),add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) )],[refute_0_379,refute_0_380]) ).

cnf(refute_0_382,plain,
    add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) = add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))),
    inference(resolve,[$cnf( $equal(inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))),inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))) )],[refute_0_378,refute_0_381]) ).

cnf(refute_0_383,plain,
    add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) = add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))))]]) ).

cnf(refute_0_384,plain,
    ( add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) != add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))
    | inverse(inverse(X_160)) != X_160
    | add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) = add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))),add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) ),[1,0],$fot(X_160)]]) ).

cnf(refute_0_385,plain,
    ( inverse(inverse(X_160)) != X_160
    | add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) = add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))),add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) )],[refute_0_383,refute_0_384]) ).

cnf(refute_0_386,plain,
    add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) = add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_160)),X_160) )],[refute_0_362,refute_0_385]) ).

cnf(refute_0_387,plain,
    ( add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) != add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))
    | add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) != add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))
    | add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) = add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))))),bind(Y,$fot(add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))))),bind(Z,$fot(add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))))]]) ).

cnf(refute_0_388,plain,
    ( add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) != add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))
    | add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) = add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))),add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) )],[refute_0_386,refute_0_387]) ).

cnf(refute_0_389,plain,
    add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) = add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))),
    inference(resolve,[$cnf( $equal(add(X_160,inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))),add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))) )],[refute_0_382,refute_0_388]) ).

cnf(refute_0_390,plain,
    inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) = inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))))]]) ).

cnf(refute_0_391,plain,
    ( add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) != add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))
    | inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) != inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))))
    | inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) = inverse(add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))),inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))))) ),[1,0],$fot(add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))))]]) ).

cnf(refute_0_392,plain,
    ( add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))) != add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))
    | inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) = inverse(add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))),inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))))) )],[refute_0_390,refute_0_391]) ).

cnf(refute_0_393,plain,
    inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) = inverse(add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162))))))),add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))) )],[refute_0_389,refute_0_392]) ).

cnf(refute_0_394,plain,
    ( inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) != inverse(X_160)
    | inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) != inverse(add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))))
    | inverse(add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))) = inverse(X_160) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))),inverse(X_160)) ),[0],$fot(inverse(add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))))]]) ).

cnf(refute_0_395,plain,
    ( inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))) != inverse(X_160)
    | inverse(add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))) = inverse(X_160) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))),inverse(add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162))))))))) )],[refute_0_393,refute_0_394]) ).

cnf(refute_0_396,plain,
    inverse(add(X_160,inverse(add(X_160,inverse(add(X_160,inverse(add(inverse(X_160),X_162)))))))) = inverse(X_160),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_160)),inverse(add(X_160,inverse(add(inverse(inverse(X_160)),inverse(add(inverse(X_160),X_162)))))))),inverse(X_160)) )],[refute_0_361,refute_0_395]) ).

cnf(refute_0_397,plain,
    inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))))) = inverse(inverse(X_80)),
    inference(subst,[],[refute_0_396:[bind(X_160,$fot(inverse(X_80))),bind(X_162,$fot(X_164))]]) ).

cnf(refute_0_398,plain,
    ( add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))))))))
    | inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))))) != inverse(inverse(X_80))
    | add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))))))))) ),[1,1,0,1],$fot(inverse(inverse(X_80)))]]) ).

cnf(refute_0_399,plain,
    ( add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))))))))
    | add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))))),inverse(inverse(X_80))) )],[refute_0_397,refute_0_398]) ).

cnf(refute_0_400,plain,
    add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))))))))) )],[refute_0_152,refute_0_399]) ).

cnf(refute_0_401,plain,
    inverse(add(inverse(add(inverse(add(X_6,inverse(X_6))),X_6)),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) = add(inverse(add(X_6,inverse(X_6))),X_6),
    inference(subst,[],[refute_0_19:[bind(C,$fot(add(inverse(add(X_6,inverse(X_6))),X_6)))]]) ).

cnf(refute_0_402,plain,
    ( inverse(add(inverse(add(X_6,inverse(X_6))),X_6)) != inverse(X_6)
    | inverse(add(inverse(add(inverse(add(X_6,inverse(X_6))),X_6)),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) != add(inverse(add(X_6,inverse(X_6))),X_6)
    | inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) = add(inverse(add(X_6,inverse(X_6))),X_6) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_6,inverse(X_6))),X_6)),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))),add(inverse(add(X_6,inverse(X_6))),X_6)) ),[0,0,0],$fot(inverse(X_6))]]) ).

cnf(refute_0_403,plain,
    ( inverse(add(inverse(add(inverse(add(X_6,inverse(X_6))),X_6)),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) != add(inverse(add(X_6,inverse(X_6))),X_6)
    | inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) = add(inverse(add(X_6,inverse(X_6))),X_6) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_6,inverse(X_6))),X_6)),inverse(X_6)) )],[refute_0_10,refute_0_402]) ).

cnf(refute_0_404,plain,
    inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) = add(inverse(add(X_6,inverse(X_6))),X_6),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_6,inverse(X_6))),X_6)),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))),add(inverse(add(X_6,inverse(X_6))),X_6)) )],[refute_0_401,refute_0_403]) ).

cnf(refute_0_405,plain,
    inverse(inverse(X_6)) = X_6,
    inference(subst,[],[refute_0_109:[bind(C,$fot(X_6))]]) ).

cnf(refute_0_406,plain,
    add(inverse(X_6),inverse(X_6)) = inverse(X_6),
    inference(subst,[],[refute_0_260:[bind(X_10,$fot(X_6))]]) ).

cnf(refute_0_407,plain,
    inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))) = inverse(add(inverse(add(X_6,inverse(X_6))),X_6)),
    inference(subst,[],[refute_0_88:[bind(X_46,$fot(add(inverse(add(X_6,inverse(X_6))),X_6)))]]) ).

cnf(refute_0_408,plain,
    ( inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))) != inverse(add(inverse(add(X_6,inverse(X_6))),X_6))
    | inverse(add(inverse(add(X_6,inverse(X_6))),X_6)) != inverse(X_6)
    | inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))) = inverse(X_6) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))),bind(Y,$fot(inverse(add(inverse(add(X_6,inverse(X_6))),X_6)))),bind(Z,$fot(inverse(X_6)))]]) ).

cnf(refute_0_409,plain,
    ( inverse(add(inverse(add(X_6,inverse(X_6))),X_6)) != inverse(X_6)
    | inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))) = inverse(X_6) ),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))),inverse(add(inverse(add(X_6,inverse(X_6))),X_6))) )],[refute_0_407,refute_0_408]) ).

cnf(refute_0_410,plain,
    inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))) = inverse(X_6),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_6,inverse(X_6))),X_6)),inverse(X_6)) )],[refute_0_10,refute_0_409]) ).

cnf(refute_0_411,plain,
    add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))) = add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))),
    introduced(tautology,[refl,[$fot(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))))]]) ).

cnf(refute_0_412,plain,
    ( add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))) != add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))
    | inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))) != inverse(X_6)
    | add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))) = add(inverse(X_6),inverse(X_6)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))),add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) ),[1,1],$fot(inverse(X_6))]]) ).

cnf(refute_0_413,plain,
    ( inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))) != inverse(X_6)
    | add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))) = add(inverse(X_6),inverse(X_6)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))),add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) )],[refute_0_411,refute_0_412]) ).

cnf(refute_0_414,plain,
    add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))) = add(inverse(X_6),inverse(X_6)),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))),inverse(X_6)) )],[refute_0_410,refute_0_413]) ).

cnf(refute_0_415,plain,
    ( add(inverse(X_6),inverse(X_6)) != inverse(X_6)
    | add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))) != add(inverse(X_6),inverse(X_6))
    | add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))) = inverse(X_6) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))))),bind(Y,$fot(add(inverse(X_6),inverse(X_6)))),bind(Z,$fot(inverse(X_6)))]]) ).

cnf(refute_0_416,plain,
    ( add(inverse(X_6),inverse(X_6)) != inverse(X_6)
    | add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))) = inverse(X_6) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))),add(inverse(X_6),inverse(X_6))) )],[refute_0_414,refute_0_415]) ).

cnf(refute_0_417,plain,
    add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))) = inverse(X_6),
    inference(resolve,[$cnf( $equal(add(inverse(X_6),inverse(X_6)),inverse(X_6)) )],[refute_0_406,refute_0_416]) ).

cnf(refute_0_418,plain,
    inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) = inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))))]]) ).

cnf(refute_0_419,plain,
    ( add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))) != inverse(X_6)
    | inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) != inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))))
    | inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) = inverse(inverse(X_6)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))),inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))))) ),[1,0],$fot(inverse(X_6))]]) ).

cnf(refute_0_420,plain,
    ( add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))) != inverse(X_6)
    | inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) = inverse(inverse(X_6)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))),inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))))) )],[refute_0_418,refute_0_419]) ).

cnf(refute_0_421,plain,
    inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) = inverse(inverse(X_6)),
    inference(resolve,[$cnf( $equal(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6)))),inverse(X_6)) )],[refute_0_417,refute_0_420]) ).

cnf(refute_0_422,plain,
    ( inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) != inverse(inverse(X_6))
    | inverse(inverse(X_6)) != X_6
    | inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) = X_6 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))))),bind(Y,$fot(inverse(inverse(X_6)))),bind(Z,$fot(X_6))]]) ).

cnf(refute_0_423,plain,
    ( inverse(inverse(X_6)) != X_6
    | inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) = X_6 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))),inverse(inverse(X_6))) )],[refute_0_421,refute_0_422]) ).

cnf(refute_0_424,plain,
    inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) = X_6,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_6)),X_6) )],[refute_0_405,refute_0_423]) ).

cnf(refute_0_425,plain,
    ( inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) != X_6
    | inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) != add(inverse(add(X_6,inverse(X_6))),X_6)
    | X_6 = add(inverse(add(X_6,inverse(X_6))),X_6) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))),add(inverse(add(X_6,inverse(X_6))),X_6)) ),[0],$fot(X_6)]]) ).

cnf(refute_0_426,plain,
    ( inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))) != add(inverse(add(X_6,inverse(X_6))),X_6)
    | X_6 = add(inverse(add(X_6,inverse(X_6))),X_6) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))),X_6) )],[refute_0_424,refute_0_425]) ).

cnf(refute_0_427,plain,
    X_6 = add(inverse(add(X_6,inverse(X_6))),X_6),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_6),inverse(add(add(inverse(add(X_6,inverse(X_6))),X_6),add(inverse(add(X_6,inverse(X_6))),X_6))))),add(inverse(add(X_6,inverse(X_6))),X_6)) )],[refute_0_404,refute_0_426]) ).

cnf(refute_0_428,plain,
    add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))) = add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))),
    inference(subst,[],[refute_0_427:[bind(X_6,$fot(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))))]]) ).

cnf(refute_0_429,plain,
    inverse(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))) = inverse(X_163),
    inference(subst,[],[refute_0_396:[bind(X_160,$fot(X_163)),bind(X_162,$fot(X_164))]]) ).

cnf(refute_0_430,plain,
    ( add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))) != add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))))
    | inverse(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))) != inverse(X_163)
    | add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))) = add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(X_163))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))))) ),[1,0,0,1],$fot(inverse(X_163))]]) ).

cnf(refute_0_431,plain,
    ( add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))) != add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))))
    | add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))) = add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(X_163))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))),inverse(X_163)) )],[refute_0_429,refute_0_430]) ).

cnf(refute_0_432,plain,
    add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))) = add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(X_163))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))),
    inference(resolve,[$cnf( $equal(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))))) )],[refute_0_428,refute_0_431]) ).

cnf(refute_0_433,plain,
    inverse(inverse(add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67)))))) = add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67)))),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67))))))]]) ).

cnf(refute_0_434,plain,
    inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(add(inverse(add(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))) = X_11,
    inference(subst,[],[refute_0_29:[bind(C,$fot(X_11)),bind(D,$fot(X_12)),bind(X_0,$fot(inverse(X_11))),bind(X_1,$fot(inverse(add(X_11,X_12)))),bind(X_2,$fot(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))]]) ).

cnf(refute_0_435,plain,
    inverse(add(inverse(add(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),
    inference(subst,[],[refute_0_10:[bind(X_6,$fot(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))]]) ).

cnf(refute_0_436,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) != inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))
    | inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(add(inverse(add(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))) != X_11
    | inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(add(inverse(add(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))),X_11) ),[0,0,1],$fot(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))]]) ).

cnf(refute_0_437,plain,
    ( inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(add(inverse(add(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))) != X_11
    | inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) = X_11 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) )],[refute_0_435,refute_0_436]) ).

cnf(refute_0_438,plain,
    inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) = X_11,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(add(inverse(add(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))),X_11) )],[refute_0_434,refute_0_437]) ).

cnf(refute_0_439,plain,
    inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))) = add(inverse(X_11),inverse(add(X_11,X_12))),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(inverse(X_11),inverse(add(X_11,X_12)))))]]) ).

cnf(refute_0_440,plain,
    add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))]]) ).

cnf(refute_0_441,plain,
    ( add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) != add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))
    | inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))) != add(inverse(X_11),inverse(add(X_11,X_12)))
    | add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))),add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) ),[1,1],$fot(add(inverse(X_11),inverse(add(X_11,X_12))))]]) ).

cnf(refute_0_442,plain,
    ( inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))) != add(inverse(X_11),inverse(add(X_11,X_12)))
    | add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))),add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) )],[refute_0_440,refute_0_441]) ).

cnf(refute_0_443,plain,
    add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),add(inverse(X_11),inverse(add(X_11,X_12)))) )],[refute_0_439,refute_0_442]) ).

cnf(refute_0_444,plain,
    add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11) = add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11))]]) ).

cnf(refute_0_445,plain,
    ( add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11) != add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)
    | inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))) != add(inverse(X_11),inverse(add(X_11,X_12)))
    | add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11) = add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11),add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)) ),[1,0],$fot(add(inverse(X_11),inverse(add(X_11,X_12))))]]) ).

cnf(refute_0_446,plain,
    ( inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))) != add(inverse(X_11),inverse(add(X_11,X_12)))
    | add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11) = add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11),add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)) )],[refute_0_444,refute_0_445]) ).

cnf(refute_0_447,plain,
    add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11) = add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),add(inverse(X_11),inverse(add(X_11,X_12)))) )],[refute_0_439,refute_0_446]) ).

cnf(refute_0_448,plain,
    inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)) = inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)))]]) ).

cnf(refute_0_449,plain,
    ( add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11) != add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)
    | inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)) != inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11))
    | inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)) = inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11))) ),[1,0],$fot(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11))]]) ).

cnf(refute_0_450,plain,
    ( add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11) != add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)
    | inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)) = inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11))) )],[refute_0_448,refute_0_449]) ).

cnf(refute_0_451,plain,
    inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)) = inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11),add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)) )],[refute_0_447,refute_0_450]) ).

cnf(refute_0_452,plain,
    add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))]]) ).

cnf(refute_0_453,plain,
    ( add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) != add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))
    | inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)) != inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11))
    | add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))),add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) ),[1,0],$fot(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)))]]) ).

cnf(refute_0_454,plain,
    ( inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)) != inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11))
    | add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))),add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) )],[refute_0_452,refute_0_453]) ).

cnf(refute_0_455,plain,
    add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11))) )],[refute_0_451,refute_0_454]) ).

cnf(refute_0_456,plain,
    ( add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) != add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))
    | add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) != add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))
    | add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12)))) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))),bind(Y,$fot(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))),bind(Z,$fot(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))))]]) ).

cnf(refute_0_457,plain,
    ( add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) != add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))
    | add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))),add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) )],[refute_0_455,refute_0_456]) ).

cnf(refute_0_458,plain,
    add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) = add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12)))),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))),add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))) )],[refute_0_443,refute_0_457]) ).

cnf(refute_0_459,plain,
    inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) = inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))))]]) ).

cnf(refute_0_460,plain,
    ( add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) != add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))
    | inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) != inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))
    | inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) = inverse(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))) ),[1,0],$fot(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12)))))]]) ).

cnf(refute_0_461,plain,
    ( add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))) != add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))
    | inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) = inverse(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))))) )],[refute_0_459,refute_0_460]) ).

cnf(refute_0_462,plain,
    inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) = inverse(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12)))))),add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))) )],[refute_0_458,refute_0_461]) ).

cnf(refute_0_463,plain,
    ( inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) != X_11
    | inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) != inverse(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12)))))
    | inverse(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),X_11) ),[0],$fot(inverse(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))))]]) ).

cnf(refute_0_464,plain,
    ( inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))) != X_11
    | inverse(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))) = X_11 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),inverse(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12)))))) )],[refute_0_462,refute_0_463]) ).

cnf(refute_0_465,plain,
    inverse(add(inverse(add(add(inverse(X_11),inverse(add(X_11,X_12))),X_11)),add(inverse(X_11),inverse(add(X_11,X_12))))) = X_11,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))),X_11)),inverse(inverse(add(inverse(X_11),inverse(add(X_11,X_12))))))),X_11) )],[refute_0_438,refute_0_464]) ).

cnf(refute_0_466,plain,
    inverse(add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67))))) = X_66,
    inference(subst,[],[refute_0_465:[bind(X_11,$fot(X_66)),bind(X_12,$fot(X_67))]]) ).

cnf(refute_0_467,plain,
    ( inverse(add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67))))) != X_66
    | inverse(inverse(add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67)))))) != add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67))))
    | inverse(X_66) = add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67)))))),add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67))))) ),[0,0],$fot(X_66)]]) ).

cnf(refute_0_468,plain,
    ( inverse(inverse(add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67)))))) != add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67))))
    | inverse(X_66) = add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67)))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67))))),X_66) )],[refute_0_466,refute_0_467]) ).

cnf(refute_0_469,plain,
    inverse(X_66) = add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67)))))),add(inverse(add(add(inverse(X_66),inverse(add(X_66,X_67))),X_66)),add(inverse(X_66),inverse(add(X_66,X_67))))) )],[refute_0_433,refute_0_468]) ).

cnf(refute_0_470,plain,
    inverse(inverse(C)) = add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(inverse(inverse(C)),inverse(add(inverse(C),X_69)))),
    inference(subst,[],[refute_0_469:[bind(X_66,$fot(inverse(C))),bind(X_67,$fot(X_69))]]) ).

cnf(refute_0_471,plain,
    ( inverse(inverse(C)) != C
    | inverse(inverse(C)) != add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(inverse(inverse(C)),inverse(add(inverse(C),X_69))))
    | inverse(inverse(C)) = add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(C)),add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(inverse(inverse(C)),inverse(add(inverse(C),X_69))))) ),[1,1,0],$fot(C)]]) ).

cnf(refute_0_472,plain,
    ( inverse(inverse(C)) != add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(inverse(inverse(C)),inverse(add(inverse(C),X_69))))
    | inverse(inverse(C)) = add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_471]) ).

cnf(refute_0_473,plain,
    inverse(inverse(C)) = add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(inverse(inverse(C)),inverse(add(inverse(C),X_69))))) )],[refute_0_470,refute_0_472]) ).

cnf(refute_0_474,plain,
    ( inverse(inverse(C)) != C
    | inverse(inverse(C)) != add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))
    | C = add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(C)),add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))) ),[0],$fot(C)]]) ).

cnf(refute_0_475,plain,
    ( inverse(inverse(C)) != add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))
    | C = add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_474]) ).

cnf(refute_0_476,plain,
    add(inverse(inverse(C)),inverse(add(inverse(C),X_69))) = add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))))]]) ).

cnf(refute_0_477,plain,
    ( add(inverse(inverse(C)),inverse(add(inverse(C),X_69))) != add(inverse(inverse(C)),inverse(add(inverse(C),X_69)))
    | inverse(inverse(C)) != C
    | add(inverse(inverse(C)),inverse(add(inverse(C),X_69))) = add(C,inverse(add(inverse(C),X_69))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),add(inverse(inverse(C)),inverse(add(inverse(C),X_69)))) ),[1,0],$fot(C)]]) ).

cnf(refute_0_478,plain,
    ( inverse(inverse(C)) != C
    | add(inverse(inverse(C)),inverse(add(inverse(C),X_69))) = add(C,inverse(add(inverse(C),X_69))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),add(inverse(inverse(C)),inverse(add(inverse(C),X_69)))) )],[refute_0_476,refute_0_477]) ).

cnf(refute_0_479,plain,
    add(inverse(inverse(C)),inverse(add(inverse(C),X_69))) = add(C,inverse(add(inverse(C),X_69))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_478]) ).

cnf(refute_0_480,plain,
    add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)) = add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)),
    introduced(tautology,[refl,[$fot(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)))]]) ).

cnf(refute_0_481,plain,
    ( add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)) != add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))
    | add(inverse(inverse(C)),inverse(add(inverse(C),X_69))) != add(C,inverse(add(inverse(C),X_69)))
    | add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)) = add(add(C,inverse(add(inverse(C),X_69))),inverse(C)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)),add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))) ),[1,0],$fot(add(C,inverse(add(inverse(C),X_69))))]]) ).

cnf(refute_0_482,plain,
    ( add(inverse(inverse(C)),inverse(add(inverse(C),X_69))) != add(C,inverse(add(inverse(C),X_69)))
    | add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)) = add(add(C,inverse(add(inverse(C),X_69))),inverse(C)) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)),add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))) )],[refute_0_480,refute_0_481]) ).

cnf(refute_0_483,plain,
    add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)) = add(add(C,inverse(add(inverse(C),X_69))),inverse(C)),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),add(C,inverse(add(inverse(C),X_69)))) )],[refute_0_479,refute_0_482]) ).

cnf(refute_0_484,plain,
    inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))) = inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),
    introduced(tautology,[refl,[$fot(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))))]]) ).

cnf(refute_0_485,plain,
    ( add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)) != add(add(C,inverse(add(inverse(C),X_69))),inverse(C))
    | inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))) != inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)))
    | inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))) = inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)))) ),[1,0],$fot(add(add(C,inverse(add(inverse(C),X_69))),inverse(C)))]]) ).

cnf(refute_0_486,plain,
    ( add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)) != add(add(C,inverse(add(inverse(C),X_69))),inverse(C))
    | inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))) = inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))) ),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)))) )],[refute_0_484,refute_0_485]) ).

cnf(refute_0_487,plain,
    inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))) = inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))),
    inference(resolve,[$cnf( $equal(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C)),add(add(C,inverse(add(inverse(C),X_69))),inverse(C))) )],[refute_0_483,refute_0_486]) ).

cnf(refute_0_488,plain,
    add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) = add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))),
    introduced(tautology,[refl,[$fot(add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))))]]) ).

cnf(refute_0_489,plain,
    ( add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) != add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))
    | inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))) != inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C)))
    | add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) = add(inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))),add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))) ),[1,0],$fot(inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))))]]) ).

cnf(refute_0_490,plain,
    ( inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))) != inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C)))
    | add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) = add(inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))),add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))) )],[refute_0_488,refute_0_489]) ).

cnf(refute_0_491,plain,
    add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) = add(inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C)))) )],[refute_0_487,refute_0_490]) ).

cnf(refute_0_492,plain,
    ( C != add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))
    | add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) != add(inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))
    | C = add(inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(C,add(inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))) ),[0],$fot(add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))))]]) ).

cnf(refute_0_493,plain,
    ( C != add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))
    | C = add(inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))),add(inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))) )],[refute_0_491,refute_0_492]) ).

cnf(refute_0_494,plain,
    ( inverse(inverse(C)) != add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))
    | C = add(inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))) ),
    inference(resolve,[$cnf( $equal(C,add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))) )],[refute_0_475,refute_0_493]) ).

cnf(refute_0_495,plain,
    C = add(inverse(add(add(C,inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),add(inverse(add(add(inverse(inverse(C)),inverse(add(inverse(C),X_69))),inverse(C))),add(C,inverse(add(inverse(C),X_69))))) )],[refute_0_473,refute_0_494]) ).

cnf(refute_0_496,plain,
    C = add(inverse(add(add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),
    inference(subst,[],[refute_0_495:[bind(X_69,$fot(inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))]]) ).

cnf(refute_0_497,plain,
    inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),
    inference(subst,[],[dn1:[bind(A,$fot(inverse(add(X_0,X_1)))),bind(C,$fot(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))))]]) ).

cnf(refute_0_498,plain,
    inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))) = B,
    inference(subst,[],[dn1:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(B)),bind(D,$fot(X_3))]]) ).

cnf(refute_0_499,plain,
    ( inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))) != B
    | inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))
    | inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) ),[0,0,0],$fot(B)]]) ).

cnf(refute_0_500,plain,
    ( inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))
    | inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),B) )],[refute_0_498,refute_0_499]) ).

cnf(refute_0_501,plain,
    inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) )],[refute_0_497,refute_0_500]) ).

cnf(refute_0_502,plain,
    inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) = add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))]]) ).

cnf(refute_0_503,plain,
    add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) = add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))]]) ).

cnf(refute_0_504,plain,
    ( add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) != add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))
    | inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) != add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))
    | add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) = add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))),add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) ),[1,0],$fot(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))]]) ).

cnf(refute_0_505,plain,
    ( inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) != add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))
    | add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) = add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))),add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) )],[refute_0_503,refute_0_504]) ).

cnf(refute_0_506,plain,
    add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) = add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))) )],[refute_0_502,refute_0_505]) ).

cnf(refute_0_507,plain,
    inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) = inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))]]) ).

cnf(refute_0_508,plain,
    ( add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) != add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))
    | inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) != inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))
    | inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) = inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) ),[1,0],$fot(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))]]) ).

cnf(refute_0_509,plain,
    ( add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) != add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))
    | inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) = inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) )],[refute_0_507,refute_0_508]) ).

cnf(refute_0_510,plain,
    inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) = inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))),add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) )],[refute_0_506,refute_0_509]) ).

cnf(refute_0_511,plain,
    add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) = add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))]]) ).

cnf(refute_0_512,plain,
    ( add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) != add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))
    | inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) != inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))
    | add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) = add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))),add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) ),[1,1],$fot(inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))]]) ).

cnf(refute_0_513,plain,
    ( inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) != inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))
    | add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) = add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))),add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) )],[refute_0_511,refute_0_512]) ).

cnf(refute_0_514,plain,
    add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) = add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) )],[refute_0_510,refute_0_513]) ).

cnf(refute_0_515,plain,
    inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) = inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))]]) ).

cnf(refute_0_516,plain,
    ( add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) != add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))
    | inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) != inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))
    | inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) = inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) ),[1,0],$fot(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))]]) ).

cnf(refute_0_517,plain,
    ( add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) != add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))
    | inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) = inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) )],[refute_0_515,refute_0_516]) ).

cnf(refute_0_518,plain,
    inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) = inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))),add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) )],[refute_0_514,refute_0_517]) ).

cnf(refute_0_519,plain,
    add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) = add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))),
    introduced(tautology,[refl,[$fot(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))]]) ).

cnf(refute_0_520,plain,
    ( add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) != add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))
    | inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) != inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))
    | add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) = add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))),add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) ),[1,1],$fot(inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))]]) ).

cnf(refute_0_521,plain,
    ( inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) != inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))
    | add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) = add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) ),
    inference(resolve,[$cnf( $equal(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))),add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) )],[refute_0_519,refute_0_520]) ).

cnf(refute_0_522,plain,
    add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) = add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) )],[refute_0_518,refute_0_521]) ).

cnf(refute_0_523,plain,
    inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),
    introduced(tautology,[refl,[$fot(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))))]]) ).

cnf(refute_0_524,plain,
    ( add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) != add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))
    | inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))
    | inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))) ),[1,0],$fot(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))]]) ).

cnf(refute_0_525,plain,
    ( add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) != add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))
    | inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))) )],[refute_0_523,refute_0_524]) ).

cnf(refute_0_526,plain,
    inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),
    inference(resolve,[$cnf( $equal(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))),add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) )],[refute_0_522,refute_0_525]) ).

cnf(refute_0_527,plain,
    ( inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))
    | inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))
    | inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) ),[0],$fot(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))))]]) ).

cnf(refute_0_528,plain,
    ( inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))
    | inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))) )],[refute_0_526,refute_0_527]) ).

cnf(refute_0_529,plain,
    inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),
    inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) )],[refute_0_501,refute_0_528]) ).

cnf(refute_0_530,plain,
    inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))) = inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),
    inference(subst,[],[refute_0_529:[bind(B,$fot(inverse(C))),bind(D,$fot(X_132)),bind(X_0,$fot(X_133)),bind(X_1,$fot(X_134)),bind(X_3,$fot(X_135))]]) ).

cnf(refute_0_531,plain,
    ( C != add(inverse(add(add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))
    | inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))) != inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))
    | C = add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(C,add(inverse(add(add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))) ),[1,0,0,0,1],$fot(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))))]]) ).

cnf(refute_0_532,plain,
    ( C != add(inverse(add(add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))
    | C = add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))),inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))) )],[refute_0_530,refute_0_531]) ).

cnf(refute_0_533,plain,
    C = add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),
    inference(resolve,[$cnf( $equal(C,add(inverse(add(add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))) )],[refute_0_496,refute_0_532]) ).

cnf(refute_0_534,plain,
    add(inverse(inverse(C)),inverse(add(inverse(C),X_135))) = add(inverse(inverse(C)),inverse(add(inverse(C),X_135))),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))]]) ).

cnf(refute_0_535,plain,
    ( add(inverse(inverse(C)),inverse(add(inverse(C),X_135))) != add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))
    | inverse(inverse(C)) != C
    | add(inverse(inverse(C)),inverse(add(inverse(C),X_135))) = add(C,inverse(add(inverse(C),X_135))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))),add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))) ),[1,0],$fot(C)]]) ).

cnf(refute_0_536,plain,
    ( inverse(inverse(C)) != C
    | add(inverse(inverse(C)),inverse(add(inverse(C),X_135))) = add(C,inverse(add(inverse(C),X_135))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))),add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))) )],[refute_0_534,refute_0_535]) ).

cnf(refute_0_537,plain,
    add(inverse(inverse(C)),inverse(add(inverse(C),X_135))) = add(C,inverse(add(inverse(C),X_135))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_536]) ).

cnf(refute_0_538,plain,
    inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))) = inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))]]) ).

cnf(refute_0_539,plain,
    ( add(inverse(inverse(C)),inverse(add(inverse(C),X_135))) != add(C,inverse(add(inverse(C),X_135)))
    | inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))) != inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))
    | inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))) = inverse(add(C,inverse(add(inverse(C),X_135)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))),inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))) ),[1,0],$fot(add(C,inverse(add(inverse(C),X_135))))]]) ).

cnf(refute_0_540,plain,
    ( add(inverse(inverse(C)),inverse(add(inverse(C),X_135))) != add(C,inverse(add(inverse(C),X_135)))
    | inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))) = inverse(add(C,inverse(add(inverse(C),X_135)))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))),inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))) )],[refute_0_538,refute_0_539]) ).

cnf(refute_0_541,plain,
    inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))) = inverse(add(C,inverse(add(inverse(C),X_135)))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))),add(C,inverse(add(inverse(C),X_135)))) )],[refute_0_537,refute_0_540]) ).

cnf(refute_0_542,plain,
    add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))) = add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),
    introduced(tautology,[refl,[$fot(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))]]) ).

cnf(refute_0_543,plain,
    ( add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))) != add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))
    | inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))) != inverse(add(C,inverse(add(inverse(C),X_135))))
    | add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))) = add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))) ),[1,1],$fot(inverse(add(C,inverse(add(inverse(C),X_135)))))]]) ).

cnf(refute_0_544,plain,
    ( inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))) != inverse(add(C,inverse(add(inverse(C),X_135))))
    | add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))) = add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))) ),
    inference(resolve,[$cnf( $equal(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))) )],[refute_0_542,refute_0_543]) ).

cnf(refute_0_545,plain,
    add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))) = add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))),inverse(add(C,inverse(add(inverse(C),X_135))))) )],[refute_0_541,refute_0_544]) ).

cnf(refute_0_546,plain,
    inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))) = inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),
    introduced(tautology,[refl,[$fot(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))))]]) ).

cnf(refute_0_547,plain,
    ( add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))) != add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))
    | inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))) != inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))
    | inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))) = inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))) ),[1,0],$fot(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))]]) ).

cnf(refute_0_548,plain,
    ( add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))) != add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))
    | inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))) = inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))) )],[refute_0_546,refute_0_547]) ).

cnf(refute_0_549,plain,
    inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))) = inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))),
    inference(resolve,[$cnf( $equal(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))) )],[refute_0_545,refute_0_548]) ).

cnf(refute_0_550,plain,
    ( inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))) != inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))
    | inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))) != inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))
    | inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))) = inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),bind(Y,$fot(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))))),bind(Z,$fot(inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))]]) ).

cnf(refute_0_551,plain,
    ( inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))) != inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))
    | inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))) = inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))),inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))) )],[refute_0_530,refute_0_550]) ).

cnf(refute_0_552,plain,
    inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))) = inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))),
    inference(resolve,[$cnf( $equal(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))) )],[refute_0_549,refute_0_551]) ).

cnf(refute_0_553,plain,
    add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))) = add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))),
    introduced(tautology,[refl,[$fot(add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))]]) ).

cnf(refute_0_554,plain,
    ( add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))) != add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))
    | inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))) != inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))
    | add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))) = add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) ),[1,1],$fot(inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))]]) ).

cnf(refute_0_555,plain,
    ( inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))) != inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))
    | add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))) = add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))) ),
    inference(resolve,[$cnf( $equal(add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) )],[refute_0_553,refute_0_554]) ).

cnf(refute_0_556,plain,
    add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))) = add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))),inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))) )],[refute_0_552,refute_0_555]) ).

cnf(refute_0_557,plain,
    add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))))]]) ).

cnf(refute_0_558,plain,
    ( add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))) != add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))
    | add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) != add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))
    | add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))) ),[1,1],$fot(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))]]) ).

cnf(refute_0_559,plain,
    ( add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))) != add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))
    | add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))) )],[refute_0_557,refute_0_558]) ).

cnf(refute_0_560,plain,
    add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))),
    inference(resolve,[$cnf( $equal(add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))) )],[refute_0_556,refute_0_559]) ).

cnf(refute_0_561,plain,
    add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))) = add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),
    introduced(tautology,[refl,[$fot(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))))]]) ).

cnf(refute_0_562,plain,
    ( add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))) != add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))))
    | inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))) != inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))
    | add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))) = add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))))) ),[1,1],$fot(inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))]]) ).

cnf(refute_0_563,plain,
    ( inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))) != inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))
    | add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))) = add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))) ),
    inference(resolve,[$cnf( $equal(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))))) )],[refute_0_561,refute_0_562]) ).

cnf(refute_0_564,plain,
    add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))) = add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),
    inference(resolve,[$cnf( $equal(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))) )],[refute_0_549,refute_0_563]) ).

cnf(refute_0_565,plain,
    add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)) = add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)),
    introduced(tautology,[refl,[$fot(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)))]]) ).

cnf(refute_0_566,plain,
    ( add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))) != add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))
    | add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)) != add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))
    | add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)) = add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)),add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))) ),[1,0],$fot(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))]]) ).

cnf(refute_0_567,plain,
    ( add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))) != add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))
    | add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)) = add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C)) ),
    inference(resolve,[$cnf( $equal(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)),add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))) )],[refute_0_565,refute_0_566]) ).

cnf(refute_0_568,plain,
    add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)) = add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C)),
    inference(resolve,[$cnf( $equal(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))) )],[refute_0_564,refute_0_567]) ).

cnf(refute_0_569,plain,
    inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))) = inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),
    introduced(tautology,[refl,[$fot(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))))]]) ).

cnf(refute_0_570,plain,
    ( add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)) != add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))
    | inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))) != inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)))
    | inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))) = inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)))) ),[1,0],$fot(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C)))]]) ).

cnf(refute_0_571,plain,
    ( add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)) != add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))
    | inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))) = inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))) ),
    inference(resolve,[$cnf( $equal(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)))) )],[refute_0_569,refute_0_570]) ).

cnf(refute_0_572,plain,
    inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))) = inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),
    inference(resolve,[$cnf( $equal(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C)),add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))) )],[refute_0_568,refute_0_571]) ).

cnf(refute_0_573,plain,
    add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) = add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))))]]) ).

cnf(refute_0_574,plain,
    ( add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) != add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))
    | inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))) != inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C)))
    | add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))) ),[1,0],$fot(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))))]]) ).

cnf(refute_0_575,plain,
    ( inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))) != inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C)))
    | add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))) )],[refute_0_573,refute_0_574]) ).

cnf(refute_0_576,plain,
    add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),
    inference(resolve,[$cnf( $equal(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C)))) )],[refute_0_572,refute_0_575]) ).

cnf(refute_0_577,plain,
    ( add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) != add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))
    | add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) != add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))
    | add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))))),bind(Y,$fot(add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))))),bind(Z,$fot(add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))))]]) ).

cnf(refute_0_578,plain,
    ( add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) != add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))
    | add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))) )],[refute_0_576,refute_0_577]) ).

cnf(refute_0_579,plain,
    add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))) )],[refute_0_560,refute_0_578]) ).

cnf(refute_0_580,plain,
    ( C != add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))
    | add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))) != add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))
    | C = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(C,add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))) ),[0],$fot(add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))))]]) ).

cnf(refute_0_581,plain,
    ( C != add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))
    | C = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132)))))))))),add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))) )],[refute_0_579,refute_0_580]) ).

cnf(refute_0_582,plain,
    C = add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))),
    inference(resolve,[$cnf( $equal(C,add(inverse(add(add(C,inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(inverse(C),inverse(add(inverse(add(X_133,X_134)),inverse(add(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_135)))))),X_132))))))))))) )],[refute_0_533,refute_0_581]) ).

cnf(refute_0_583,plain,
    ( C != add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))
    | add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))) = C ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(C)),bind(Y,$fot(add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))))]]) ).

cnf(refute_0_584,plain,
    add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135)))))))) = C,
    inference(resolve,[$cnf( $equal(C,add(inverse(add(add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))),inverse(C))),add(C,inverse(add(X_133,inverse(add(C,inverse(add(inverse(C),X_135))))))))) )],[refute_0_582,refute_0_583]) ).

cnf(refute_0_585,plain,
    add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(X_163))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))) = X_163,
    inference(subst,[],[refute_0_584:[bind(C,$fot(X_163)),bind(X_133,$fot(X_163)),bind(X_135,$fot(X_164))]]) ).

cnf(refute_0_586,plain,
    ( add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))) != add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(X_163))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))))
    | add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(X_163))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))) != X_163
    | add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))) = X_163 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),X_163) ),[0],$fot(add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(X_163))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))))]]) ).

cnf(refute_0_587,plain,
    ( add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))) != add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(X_163))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))))
    | add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))) = X_163 ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(X_163))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164)))))))),X_163) )],[refute_0_585,refute_0_586]) ).

cnf(refute_0_588,plain,
    add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))) = X_163,
    inference(resolve,[$cnf( $equal(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),add(inverse(add(add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))),inverse(X_163))),add(X_163,inverse(add(X_163,inverse(add(X_163,inverse(add(inverse(X_163),X_164))))))))) )],[refute_0_432,refute_0_587]) ).

cnf(refute_0_589,plain,
    add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) = inverse(X_80),
    inference(subst,[],[refute_0_588:[bind(X_163,$fot(inverse(X_80)))]]) ).

cnf(refute_0_590,plain,
    ( add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))
    | add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) != inverse(X_80)
    | inverse(X_80) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))) ),[0],$fot(inverse(X_80))]]) ).

cnf(refute_0_591,plain,
    ( add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))
    | inverse(X_80) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))),inverse(X_80)) )],[refute_0_589,refute_0_590]) ).

cnf(refute_0_592,plain,
    add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))))]]) ).

cnf(refute_0_593,plain,
    ( add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))
    | inverse(add(X_80,inverse(inverse(X_80)))) != inverse(X_80)
    | add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))) ),[1,1],$fot(inverse(X_80))]]) ).

cnf(refute_0_594,plain,
    ( inverse(add(X_80,inverse(inverse(X_80)))) != inverse(X_80)
    | add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))) )],[refute_0_592,refute_0_593]) ).

cnf(refute_0_595,plain,
    add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)),
    inference(resolve,[$cnf( $equal(inverse(add(X_80,inverse(inverse(X_80)))),inverse(X_80)) )],[refute_0_304,refute_0_594]) ).

cnf(refute_0_596,plain,
    add(inverse(inverse(X_80)),X_164) = add(inverse(inverse(X_80)),X_164),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(X_80)),X_164))]]) ).

cnf(refute_0_597,plain,
    ( add(inverse(inverse(X_80)),X_164) != add(inverse(inverse(X_80)),X_164)
    | inverse(inverse(X_80)) != X_80
    | add(inverse(inverse(X_80)),X_164) = add(X_80,X_164) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_80)),X_164),add(inverse(inverse(X_80)),X_164)) ),[1,0],$fot(X_80)]]) ).

cnf(refute_0_598,plain,
    ( inverse(inverse(X_80)) != X_80
    | add(inverse(inverse(X_80)),X_164) = add(X_80,X_164) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_80)),X_164),add(inverse(inverse(X_80)),X_164)) )],[refute_0_596,refute_0_597]) ).

cnf(refute_0_599,plain,
    add(inverse(inverse(X_80)),X_164) = add(X_80,X_164),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_293,refute_0_598]) ).

cnf(refute_0_600,plain,
    inverse(add(inverse(inverse(X_80)),X_164)) = inverse(add(inverse(inverse(X_80)),X_164)),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_80)),X_164)))]]) ).

cnf(refute_0_601,plain,
    ( add(inverse(inverse(X_80)),X_164) != add(X_80,X_164)
    | inverse(add(inverse(inverse(X_80)),X_164)) != inverse(add(inverse(inverse(X_80)),X_164))
    | inverse(add(inverse(inverse(X_80)),X_164)) = inverse(add(X_80,X_164)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_80)),X_164)),inverse(add(inverse(inverse(X_80)),X_164))) ),[1,0],$fot(add(X_80,X_164))]]) ).

cnf(refute_0_602,plain,
    ( add(inverse(inverse(X_80)),X_164) != add(X_80,X_164)
    | inverse(add(inverse(inverse(X_80)),X_164)) = inverse(add(X_80,X_164)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_80)),X_164)),inverse(add(inverse(inverse(X_80)),X_164))) )],[refute_0_600,refute_0_601]) ).

cnf(refute_0_603,plain,
    inverse(add(inverse(inverse(X_80)),X_164)) = inverse(add(X_80,X_164)),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_80)),X_164),add(X_80,X_164)) )],[refute_0_599,refute_0_602]) ).

cnf(refute_0_604,plain,
    add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))) = add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))),
    introduced(tautology,[refl,[$fot(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))]]) ).

cnf(refute_0_605,plain,
    ( add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))) != add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))
    | inverse(add(inverse(inverse(X_80)),X_164)) != inverse(add(X_80,X_164))
    | add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))) = add(inverse(X_80),inverse(add(X_80,X_164))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))),add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))) ),[1,1],$fot(inverse(add(X_80,X_164)))]]) ).

cnf(refute_0_606,plain,
    ( inverse(add(inverse(inverse(X_80)),X_164)) != inverse(add(X_80,X_164))
    | add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))) = add(inverse(X_80),inverse(add(X_80,X_164))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))),add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))) )],[refute_0_604,refute_0_605]) ).

cnf(refute_0_607,plain,
    add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))) = add(inverse(X_80),inverse(add(X_80,X_164))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_80)),X_164)),inverse(add(X_80,X_164))) )],[refute_0_603,refute_0_606]) ).

cnf(refute_0_608,plain,
    inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))) = inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))]]) ).

cnf(refute_0_609,plain,
    ( add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))) != add(inverse(X_80),inverse(add(X_80,X_164)))
    | inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))) != inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))
    | inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))) = inverse(add(inverse(X_80),inverse(add(X_80,X_164)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))) ),[1,0],$fot(add(inverse(X_80),inverse(add(X_80,X_164))))]]) ).

cnf(refute_0_610,plain,
    ( add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))) != add(inverse(X_80),inverse(add(X_80,X_164)))
    | inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))) = inverse(add(inverse(X_80),inverse(add(X_80,X_164)))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))) )],[refute_0_608,refute_0_609]) ).

cnf(refute_0_611,plain,
    inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))) = inverse(add(inverse(X_80),inverse(add(X_80,X_164)))),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))),add(inverse(X_80),inverse(add(X_80,X_164)))) )],[refute_0_607,refute_0_610]) ).

cnf(refute_0_612,plain,
    add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))) = add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))),
    introduced(tautology,[refl,[$fot(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))]]) ).

cnf(refute_0_613,plain,
    ( add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))) != add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))
    | inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))) != inverse(add(inverse(X_80),inverse(add(X_80,X_164))))
    | add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))) = add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))),add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))) ),[1,1],$fot(inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))]]) ).

cnf(refute_0_614,plain,
    ( inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))) != inverse(add(inverse(X_80),inverse(add(X_80,X_164))))
    | add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))) = add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))),add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))) )],[refute_0_612,refute_0_613]) ).

cnf(refute_0_615,plain,
    add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))) = add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))),inverse(add(inverse(X_80),inverse(add(X_80,X_164))))) )],[refute_0_611,refute_0_614]) ).

cnf(refute_0_616,plain,
    inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))) = inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))))]]) ).

cnf(refute_0_617,plain,
    ( add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))) != add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))
    | inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))) != inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))
    | inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))) = inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) ),[1,0],$fot(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164))))))]]) ).

cnf(refute_0_618,plain,
    ( add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))) != add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))
    | inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))) = inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) )],[refute_0_616,refute_0_617]) ).

cnf(refute_0_619,plain,
    inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))) = inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))),add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))) )],[refute_0_615,refute_0_618]) ).

cnf(refute_0_620,plain,
    add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))))]]) ).

cnf(refute_0_621,plain,
    ( add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))
    | inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))) != inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164))))))
    | add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))) ),[1,0],$fot(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))))]]) ).

cnf(refute_0_622,plain,
    ( inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))) != inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164))))))
    | add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))) )],[refute_0_620,refute_0_621]) ).

cnf(refute_0_623,plain,
    add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164))))))) )],[refute_0_619,refute_0_622]) ).

cnf(refute_0_624,plain,
    ( add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80))
    | add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))
    | add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))))),bind(Y,$fot(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))))),bind(Z,$fot(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80))))]]) ).

cnf(refute_0_625,plain,
    ( add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80))
    | add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))) )],[refute_0_623,refute_0_624]) ).

cnf(refute_0_626,plain,
    add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80))) )],[refute_0_595,refute_0_625]) ).

cnf(refute_0_627,plain,
    ( add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80))
    | inverse(X_80) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))
    | inverse(X_80) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(X_80),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))) ),[1],$fot(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)))]]) ).

cnf(refute_0_628,plain,
    ( inverse(X_80) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))
    | inverse(X_80) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80))) )],[refute_0_626,refute_0_627]) ).

cnf(refute_0_629,plain,
    ( add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))
    | inverse(X_80) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)) ),
    inference(resolve,[$cnf( $equal(inverse(X_80),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))) )],[refute_0_591,refute_0_628]) ).

cnf(refute_0_630,plain,
    inverse(X_80) = add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164))))))),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(inverse(inverse(X_80)),X_164)))))),inverse(add(X_80,inverse(inverse(X_80)))))) )],[refute_0_400,refute_0_629]) ).

cnf(refute_0_631,plain,
    inverse(inverse(add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57))))) = add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57))),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57)))))]]) ).

cnf(refute_0_632,plain,
    inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(X_25,X_26)),X_27)),X_24)))),X_15)),X_11)))) = X_11,
    inference(subst,[],[refute_0_34:[bind(X_13,$fot(inverse(add(X_27,X_24)))),bind(X_14,$fot(inverse(add(inverse(add(inverse(add(X_25,X_26)),X_27)),X_24))))]]) ).

cnf(refute_0_633,plain,
    inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(X_25,X_26)),X_27)),X_24)))) = X_24,
    inference(subst,[],[refute_0_34:[bind(X_11,$fot(X_24)),bind(X_13,$fot(X_25)),bind(X_14,$fot(X_26)),bind(X_15,$fot(X_27))]]) ).

cnf(refute_0_634,plain,
    ( inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(X_25,X_26)),X_27)),X_24)))),X_15)),X_11)))) != X_11
    | inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(X_25,X_26)),X_27)),X_24)))) != X_24
    | inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(X_24,X_15)),X_11)))) = X_11 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(X_25,X_26)),X_27)),X_24)))),X_15)),X_11)))),X_11) ),[0,0,1,0,0,0,0],$fot(X_24)]]) ).

cnf(refute_0_635,plain,
    ( inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(X_25,X_26)),X_27)),X_24)))),X_15)),X_11)))) != X_11
    | inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(X_24,X_15)),X_11)))) = X_11 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(X_25,X_26)),X_27)),X_24)))),X_24) )],[refute_0_633,refute_0_634]) ).

cnf(refute_0_636,plain,
    inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(X_24,X_15)),X_11)))) = X_11,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_15,X_11)),inverse(add(inverse(add(inverse(add(inverse(add(X_27,X_24)),inverse(add(inverse(add(inverse(add(X_25,X_26)),X_27)),X_24)))),X_15)),X_11)))),X_11) )],[refute_0_632,refute_0_635]) ).

cnf(refute_0_637,plain,
    inverse(add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57)))) = X_57,
    inference(subst,[],[refute_0_636:[bind(X_11,$fot(X_57)),bind(X_15,$fot(X_58)),bind(X_24,$fot(X_59))]]) ).

cnf(refute_0_638,plain,
    ( inverse(add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57)))) != X_57
    | inverse(inverse(add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57))))) != add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57)))
    | inverse(X_57) = add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57))))),add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57)))) ),[0,0],$fot(X_57)]]) ).

cnf(refute_0_639,plain,
    ( inverse(inverse(add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57))))) != add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57)))
    | inverse(X_57) = add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57)))),X_57) )],[refute_0_637,refute_0_638]) ).

cnf(refute_0_640,plain,
    inverse(X_57) = add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57))),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57))))),add(inverse(add(X_58,X_57)),inverse(add(inverse(add(X_59,X_58)),X_57)))) )],[refute_0_631,refute_0_639]) ).

cnf(refute_0_641,plain,
    inverse(inverse(add(X_58,X_172))) = add(inverse(add(X_58,inverse(add(X_58,X_172)))),inverse(add(inverse(add(inverse(add(X_172,inverse(X_172))),X_58)),inverse(add(X_58,X_172))))),
    inference(subst,[],[refute_0_640:[bind(X_57,$fot(inverse(add(X_58,X_172)))),bind(X_59,$fot(inverse(add(X_172,inverse(X_172)))))]]) ).

cnf(refute_0_642,plain,
    inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162)))))))) = X_161,
    inference(subst,[],[refute_0_193:[bind(X_49,$fot(X_162)),bind(X_60,$fot(X_161)),bind(X_61,$fot(X_162))]]) ).

cnf(refute_0_643,plain,
    add(X_161,X_162) = add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162))))),
    inference(subst,[],[refute_0_141:[bind(C,$fot(X_161)),bind(X_117,$fot(X_162))]]) ).

cnf(refute_0_644,plain,
    ( add(X_161,X_162) != add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162)))))
    | add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162))))) = add(X_161,X_162) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(add(X_161,X_162))),bind(Y,$fot(add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162)))))))]]) ).

cnf(refute_0_645,plain,
    add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162))))) = add(X_161,X_162),
    inference(resolve,[$cnf( $equal(add(X_161,X_162),add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162)))))) )],[refute_0_643,refute_0_644]) ).

cnf(refute_0_646,plain,
    ( add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162))))) != add(X_161,X_162)
    | inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162)))))))) != X_161
    | inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) = X_161 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162)))))))),X_161) ),[0,0,1,0],$fot(add(X_161,X_162))]]) ).

cnf(refute_0_647,plain,
    ( inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162)))))))) != X_161
    | inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) = X_161 ),
    inference(resolve,[$cnf( $equal(add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162))))),add(X_161,X_162)) )],[refute_0_645,refute_0_646]) ).

cnf(refute_0_648,plain,
    inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) = X_161,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_162,inverse(add(inverse(X_161),inverse(add(X_161,X_162)))))))),X_161) )],[refute_0_642,refute_0_647]) ).

cnf(refute_0_649,plain,
    inverse(X_57) = add(inverse(add(X_57,X_57)),inverse(add(inverse(add(X_59,X_57)),X_57))),
    inference(subst,[],[refute_0_640:[bind(X_58,$fot(X_57))]]) ).

cnf(refute_0_650,plain,
    X_57 = add(X_57,X_57),
    inference(subst,[],[refute_0_289:[bind(X_20,$fot(X_57))]]) ).

cnf(refute_0_651,plain,
    ( X_57 != add(X_57,X_57)
    | add(X_57,X_57) = X_57 ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(X_57)),bind(Y,$fot(add(X_57,X_57)))]]) ).

cnf(refute_0_652,plain,
    add(X_57,X_57) = X_57,
    inference(resolve,[$cnf( $equal(X_57,add(X_57,X_57)) )],[refute_0_650,refute_0_651]) ).

cnf(refute_0_653,plain,
    ( add(X_57,X_57) != X_57
    | inverse(X_57) != add(inverse(add(X_57,X_57)),inverse(add(inverse(add(X_59,X_57)),X_57)))
    | inverse(X_57) = add(inverse(X_57),inverse(add(inverse(add(X_59,X_57)),X_57))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(X_57),add(inverse(add(X_57,X_57)),inverse(add(inverse(add(X_59,X_57)),X_57)))) ),[1,0,0],$fot(X_57)]]) ).

cnf(refute_0_654,plain,
    ( inverse(X_57) != add(inverse(add(X_57,X_57)),inverse(add(inverse(add(X_59,X_57)),X_57)))
    | inverse(X_57) = add(inverse(X_57),inverse(add(inverse(add(X_59,X_57)),X_57))) ),
    inference(resolve,[$cnf( $equal(add(X_57,X_57),X_57) )],[refute_0_652,refute_0_653]) ).

cnf(refute_0_655,plain,
    inverse(X_57) = add(inverse(X_57),inverse(add(inverse(add(X_59,X_57)),X_57))),
    inference(resolve,[$cnf( $equal(inverse(X_57),add(inverse(add(X_57,X_57)),inverse(add(inverse(add(X_59,X_57)),X_57)))) )],[refute_0_649,refute_0_654]) ).

cnf(refute_0_656,plain,
    inverse(inverse(C)) = add(inverse(inverse(C)),inverse(add(inverse(add(X_105,inverse(C))),inverse(C)))),
    inference(subst,[],[refute_0_655:[bind(X_57,$fot(inverse(C))),bind(X_59,$fot(X_105))]]) ).

cnf(refute_0_657,plain,
    ( inverse(inverse(C)) != C
    | inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(inverse(add(X_105,inverse(C))),inverse(C))))
    | inverse(inverse(C)) = add(C,inverse(add(inverse(add(X_105,inverse(C))),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(C)),add(inverse(inverse(C)),inverse(add(inverse(add(X_105,inverse(C))),inverse(C))))) ),[1,0],$fot(C)]]) ).

cnf(refute_0_658,plain,
    ( inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(inverse(add(X_105,inverse(C))),inverse(C))))
    | inverse(inverse(C)) = add(C,inverse(add(inverse(add(X_105,inverse(C))),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_657]) ).

cnf(refute_0_659,plain,
    inverse(inverse(C)) = add(C,inverse(add(inverse(add(X_105,inverse(C))),inverse(C)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),add(inverse(inverse(C)),inverse(add(inverse(add(X_105,inverse(C))),inverse(C))))) )],[refute_0_656,refute_0_658]) ).

cnf(refute_0_660,plain,
    ( inverse(inverse(C)) != C
    | inverse(inverse(C)) != add(C,inverse(add(inverse(add(X_105,inverse(C))),inverse(C))))
    | C = add(C,inverse(add(inverse(add(X_105,inverse(C))),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(C)),add(C,inverse(add(inverse(add(X_105,inverse(C))),inverse(C))))) ),[0],$fot(C)]]) ).

cnf(refute_0_661,plain,
    ( inverse(inverse(C)) != add(C,inverse(add(inverse(add(X_105,inverse(C))),inverse(C))))
    | C = add(C,inverse(add(inverse(add(X_105,inverse(C))),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_660]) ).

cnf(refute_0_662,plain,
    C = add(C,inverse(add(inverse(add(X_105,inverse(C))),inverse(C)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),add(C,inverse(add(inverse(add(X_105,inverse(C))),inverse(C))))) )],[refute_0_659,refute_0_661]) ).

cnf(refute_0_663,plain,
    add(inverse(X_105),X_105) = add(add(inverse(X_105),X_105),inverse(add(inverse(add(X_105,inverse(add(inverse(X_105),X_105)))),inverse(add(inverse(X_105),X_105))))),
    inference(subst,[],[refute_0_662:[bind(C,$fot(add(inverse(X_105),X_105)))]]) ).

cnf(refute_0_664,plain,
    inverse(add(X_164,inverse(add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164)))))))) = inverse(X_164),
    inference(subst,[],[refute_0_396:[bind(X_160,$fot(X_164)),bind(X_162,$fot(X_164))]]) ).

cnf(refute_0_665,plain,
    add(inverse(X_164),X_164) = add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164))))),
    inference(subst,[],[refute_0_130:[bind(X_80,$fot(X_164)),bind(X_81,$fot(X_164))]]) ).

cnf(refute_0_666,plain,
    ( add(inverse(X_164),X_164) != add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164)))))
    | add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164))))) = add(inverse(X_164),X_164) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(add(inverse(X_164),X_164))),bind(Y,$fot(add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164)))))))]]) ).

cnf(refute_0_667,plain,
    add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164))))) = add(inverse(X_164),X_164),
    inference(resolve,[$cnf( $equal(add(inverse(X_164),X_164),add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164)))))) )],[refute_0_665,refute_0_666]) ).

cnf(refute_0_668,plain,
    ( add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164))))) != add(inverse(X_164),X_164)
    | inverse(add(X_164,inverse(add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164)))))))) != inverse(X_164)
    | inverse(add(X_164,inverse(add(inverse(X_164),X_164)))) = inverse(X_164) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_164,inverse(add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164)))))))),inverse(X_164)) ),[0,0,1,0],$fot(add(inverse(X_164),X_164))]]) ).

cnf(refute_0_669,plain,
    ( inverse(add(X_164,inverse(add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164)))))))) != inverse(X_164)
    | inverse(add(X_164,inverse(add(inverse(X_164),X_164)))) = inverse(X_164) ),
    inference(resolve,[$cnf( $equal(add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164))))),add(inverse(X_164),X_164)) )],[refute_0_667,refute_0_668]) ).

cnf(refute_0_670,plain,
    inverse(add(X_164,inverse(add(inverse(X_164),X_164)))) = inverse(X_164),
    inference(resolve,[$cnf( $equal(inverse(add(X_164,inverse(add(X_164,inverse(add(X_164,inverse(add(inverse(X_164),X_164)))))))),inverse(X_164)) )],[refute_0_664,refute_0_669]) ).

cnf(refute_0_671,plain,
    inverse(add(X_105,inverse(add(inverse(X_105),X_105)))) = inverse(X_105),
    inference(subst,[],[refute_0_670:[bind(X_164,$fot(X_105))]]) ).

cnf(refute_0_672,plain,
    ( add(inverse(X_105),X_105) != add(add(inverse(X_105),X_105),inverse(add(inverse(add(X_105,inverse(add(inverse(X_105),X_105)))),inverse(add(inverse(X_105),X_105)))))
    | inverse(add(X_105,inverse(add(inverse(X_105),X_105)))) != inverse(X_105)
    | add(inverse(X_105),X_105) = add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_105),X_105),add(add(inverse(X_105),X_105),inverse(add(inverse(add(X_105,inverse(add(inverse(X_105),X_105)))),inverse(add(inverse(X_105),X_105)))))) ),[1,1,0,0],$fot(inverse(X_105))]]) ).

cnf(refute_0_673,plain,
    ( add(inverse(X_105),X_105) != add(add(inverse(X_105),X_105),inverse(add(inverse(add(X_105,inverse(add(inverse(X_105),X_105)))),inverse(add(inverse(X_105),X_105)))))
    | add(inverse(X_105),X_105) = add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_105,inverse(add(inverse(X_105),X_105)))),inverse(X_105)) )],[refute_0_671,refute_0_672]) ).

cnf(refute_0_674,plain,
    add(inverse(X_105),X_105) = add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))),
    inference(resolve,[$cnf( $equal(add(inverse(X_105),X_105),add(add(inverse(X_105),X_105),inverse(add(inverse(add(X_105,inverse(add(inverse(X_105),X_105)))),inverse(add(inverse(X_105),X_105)))))) )],[refute_0_663,refute_0_673]) ).

cnf(refute_0_675,plain,
    inverse(inverse(add(inverse(X_54),X_54))) = add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(add(X_54,inverse(add(inverse(X_54),X_54))))),
    inference(subst,[],[refute_0_120:[bind(X_55,$fot(inverse(add(inverse(X_54),X_54))))]]) ).

cnf(refute_0_676,plain,
    inverse(add(X_54,inverse(add(inverse(X_54),X_54)))) = inverse(X_54),
    inference(subst,[],[refute_0_670:[bind(X_164,$fot(X_54))]]) ).

cnf(refute_0_677,plain,
    ( inverse(add(X_54,inverse(add(inverse(X_54),X_54)))) != inverse(X_54)
    | inverse(inverse(add(inverse(X_54),X_54))) != add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(add(X_54,inverse(add(inverse(X_54),X_54)))))
    | inverse(inverse(add(inverse(X_54),X_54))) = add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(X_54),X_54))),add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(add(X_54,inverse(add(inverse(X_54),X_54)))))) ),[1,1],$fot(inverse(X_54))]]) ).

cnf(refute_0_678,plain,
    ( inverse(inverse(add(inverse(X_54),X_54))) != add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(add(X_54,inverse(add(inverse(X_54),X_54)))))
    | inverse(inverse(add(inverse(X_54),X_54))) = add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_54,inverse(add(inverse(X_54),X_54)))),inverse(X_54)) )],[refute_0_676,refute_0_677]) ).

cnf(refute_0_679,plain,
    inverse(inverse(add(inverse(X_54),X_54))) = add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_54),X_54))),add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(add(X_54,inverse(add(inverse(X_54),X_54)))))) )],[refute_0_675,refute_0_678]) ).

cnf(refute_0_680,plain,
    inverse(inverse(add(inverse(X_54),X_54))) = add(inverse(X_54),X_54),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(inverse(X_54),X_54)))]]) ).

cnf(refute_0_681,plain,
    ( inverse(inverse(add(inverse(X_54),X_54))) != add(inverse(X_54),X_54)
    | inverse(inverse(add(inverse(X_54),X_54))) != add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54))
    | add(inverse(X_54),X_54) = add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(X_54),X_54))),add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54))) ),[0],$fot(add(inverse(X_54),X_54))]]) ).

cnf(refute_0_682,plain,
    ( inverse(inverse(add(inverse(X_54),X_54))) != add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54))
    | add(inverse(X_54),X_54) = add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_54),X_54))),add(inverse(X_54),X_54)) )],[refute_0_680,refute_0_681]) ).

cnf(refute_0_683,plain,
    inverse(inverse(X_54)) = X_54,
    inference(subst,[],[refute_0_109:[bind(C,$fot(X_54))]]) ).

cnf(refute_0_684,plain,
    inverse(add(inverse(inverse(add(inverse(C),inverse(add(C,C))))),add(inverse(C),inverse(add(C,C))))) = inverse(add(inverse(C),inverse(add(C,C)))),
    inference(subst,[],[refute_0_222:[bind(X_2,$fot(add(inverse(C),inverse(add(C,C)))))]]) ).

cnf(refute_0_685,plain,
    ( inverse(add(inverse(C),inverse(add(C,C)))) != C
    | inverse(add(inverse(inverse(add(inverse(C),inverse(add(C,C))))),add(inverse(C),inverse(add(C,C))))) != inverse(add(inverse(C),inverse(add(C,C))))
    | inverse(add(inverse(C),add(inverse(C),inverse(add(C,C))))) = inverse(add(inverse(C),inverse(add(C,C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(add(inverse(C),inverse(add(C,C))))),add(inverse(C),inverse(add(C,C))))),inverse(add(inverse(C),inverse(add(C,C))))) ),[0,0,0,0],$fot(C)]]) ).

cnf(refute_0_686,plain,
    ( inverse(add(inverse(inverse(add(inverse(C),inverse(add(C,C))))),add(inverse(C),inverse(add(C,C))))) != inverse(add(inverse(C),inverse(add(C,C))))
    | inverse(add(inverse(C),add(inverse(C),inverse(add(C,C))))) = inverse(add(inverse(C),inverse(add(C,C)))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,C)))),C) )],[refute_0_19,refute_0_685]) ).

cnf(refute_0_687,plain,
    inverse(add(inverse(C),add(inverse(C),inverse(add(C,C))))) = inverse(add(inverse(C),inverse(add(C,C)))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(inverse(C),inverse(add(C,C))))),add(inverse(C),inverse(add(C,C))))),inverse(add(inverse(C),inverse(add(C,C))))) )],[refute_0_684,refute_0_686]) ).

cnf(refute_0_688,plain,
    ( inverse(add(inverse(C),add(inverse(C),inverse(add(C,C))))) != inverse(add(inverse(C),inverse(add(C,C))))
    | inverse(add(inverse(C),inverse(add(C,C)))) != C
    | inverse(add(inverse(C),add(inverse(C),inverse(add(C,C))))) = C ),
    introduced(tautology,[equality,[$cnf( ~ $equal(inverse(add(inverse(C),add(inverse(C),inverse(add(C,C))))),C) ),[0],$fot(inverse(add(inverse(C),inverse(add(C,C)))))]]) ).

cnf(refute_0_689,plain,
    ( inverse(add(inverse(C),add(inverse(C),inverse(add(C,C))))) != inverse(add(inverse(C),inverse(add(C,C))))
    | inverse(add(inverse(C),add(inverse(C),inverse(add(C,C))))) = C ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,C)))),C) )],[refute_0_19,refute_0_688]) ).

cnf(refute_0_690,plain,
    inverse(add(inverse(C),add(inverse(C),inverse(add(C,C))))) = C,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),add(inverse(C),inverse(add(C,C))))),inverse(add(inverse(C),inverse(add(C,C))))) )],[refute_0_687,refute_0_689]) ).

cnf(refute_0_691,plain,
    inverse(add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),
    inference(subst,[],[refute_0_690:[bind(C,$fot(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))]]) ).

cnf(refute_0_692,plain,
    inverse(add(inverse(add(inverse(inverse(X_30)),X_30)),inverse(add(inverse(inverse(inverse(X_30))),X_30)))) = X_30,
    inference(subst,[],[refute_0_59:[bind(X_24,$fot(X_30)),bind(X_27,$fot(inverse(inverse(X_30))))]]) ).

cnf(refute_0_693,plain,
    inverse(add(inverse(inverse(X_30)),X_30)) = inverse(X_30),
    inference(subst,[],[refute_0_222:[bind(X_2,$fot(X_30))]]) ).

cnf(refute_0_694,plain,
    ( inverse(add(inverse(add(inverse(inverse(X_30)),X_30)),inverse(add(inverse(inverse(inverse(X_30))),X_30)))) != X_30
    | inverse(add(inverse(inverse(X_30)),X_30)) != inverse(X_30)
    | inverse(add(inverse(X_30),inverse(add(inverse(inverse(inverse(X_30))),X_30)))) = X_30 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(X_30)),X_30)),inverse(add(inverse(inverse(inverse(X_30))),X_30)))),X_30) ),[0,0,0],$fot(inverse(X_30))]]) ).

cnf(refute_0_695,plain,
    ( inverse(add(inverse(add(inverse(inverse(X_30)),X_30)),inverse(add(inverse(inverse(inverse(X_30))),X_30)))) != X_30
    | inverse(add(inverse(X_30),inverse(add(inverse(inverse(inverse(X_30))),X_30)))) = X_30 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_30)),X_30)),inverse(X_30)) )],[refute_0_693,refute_0_694]) ).

cnf(refute_0_696,plain,
    inverse(add(inverse(X_30),inverse(add(inverse(inverse(inverse(X_30))),X_30)))) = X_30,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(X_30)),X_30)),inverse(add(inverse(inverse(inverse(X_30))),X_30)))),X_30) )],[refute_0_692,refute_0_695]) ).

cnf(refute_0_697,plain,
    inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) = X_32,
    inference(subst,[],[refute_0_696:[bind(X_30,$fot(X_32))]]) ).

cnf(refute_0_698,plain,
    ( inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) != X_32
    | inverse(add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) != add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))
    | inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) ),[0,0,0],$fot(X_32)]]) ).

cnf(refute_0_699,plain,
    ( inverse(add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) != add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))
    | inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),X_32) )],[refute_0_697,refute_0_698]) ).

cnf(refute_0_700,plain,
    inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) )],[refute_0_691,refute_0_699]) ).

cnf(refute_0_701,plain,
    add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) = add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))]]) ).

cnf(refute_0_702,plain,
    ( add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) != add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))
    | inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) != X_32
    | add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) = add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))),add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) ),[1,0],$fot(X_32)]]) ).

cnf(refute_0_703,plain,
    ( inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) != X_32
    | add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) = add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))),add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) )],[refute_0_701,refute_0_702]) ).

cnf(refute_0_704,plain,
    add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) = add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),X_32) )],[refute_0_697,refute_0_703]) ).

cnf(refute_0_705,plain,
    add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) = add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))),
    introduced(tautology,[refl,[$fot(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))]]) ).

cnf(refute_0_706,plain,
    ( add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) != add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))
    | add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) != add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))
    | add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) = add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))),add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) ),[1,1],$fot(add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))]]) ).

cnf(refute_0_707,plain,
    ( add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) != add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))
    | add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) = add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) ),
    inference(resolve,[$cnf( $equal(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))),add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) )],[refute_0_705,refute_0_706]) ).

cnf(refute_0_708,plain,
    add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) = add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))),add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) )],[refute_0_704,refute_0_707]) ).

cnf(refute_0_709,plain,
    inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),
    introduced(tautology,[refl,[$fot(inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))))]]) ).

cnf(refute_0_710,plain,
    ( add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) != add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))
    | inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) != inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))
    | inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))) ),[1,0],$fot(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))]]) ).

cnf(refute_0_711,plain,
    ( add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) != add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))
    | inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))) )],[refute_0_709,refute_0_710]) ).

cnf(refute_0_712,plain,
    inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),
    inference(resolve,[$cnf( $equal(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))),add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) )],[refute_0_708,refute_0_711]) ).

cnf(refute_0_713,plain,
    ( inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) != add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))
    | inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) != inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))
    | inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) ),[0],$fot(inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))))]]) ).

cnf(refute_0_714,plain,
    ( inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) != add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))
    | inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))) )],[refute_0_712,refute_0_713]) ).

cnf(refute_0_715,plain,
    inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),
    inference(resolve,[$cnf( $equal(inverse(add(X_32,add(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) )],[refute_0_700,refute_0_714]) ).

cnf(refute_0_716,plain,
    add(X_32,X_32) = X_32,
    inference(subst,[],[refute_0_291:[bind(X_20,$fot(X_32))]]) ).

cnf(refute_0_717,plain,
    inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))) = inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),
    inference(subst,[],[refute_0_88:[bind(X_46,$fot(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))]]) ).

cnf(refute_0_718,plain,
    ( inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))) != inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))
    | inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) != X_32
    | inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))) = X_32 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))),bind(Y,$fot(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))),bind(Z,$fot(X_32))]]) ).

cnf(refute_0_719,plain,
    ( inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) != X_32
    | inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))) = X_32 ),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))),inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))) )],[refute_0_717,refute_0_718]) ).

cnf(refute_0_720,plain,
    inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))) = X_32,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))),X_32) )],[refute_0_697,refute_0_719]) ).

cnf(refute_0_721,plain,
    add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) = add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))),
    introduced(tautology,[refl,[$fot(add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))]]) ).

cnf(refute_0_722,plain,
    ( add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) != add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))
    | inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))) != X_32
    | add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) = add(X_32,X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))),add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) ),[1,1],$fot(X_32)]]) ).

cnf(refute_0_723,plain,
    ( inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))) != X_32
    | add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) = add(X_32,X_32) ),
    inference(resolve,[$cnf( $equal(add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))),add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) )],[refute_0_721,refute_0_722]) ).

cnf(refute_0_724,plain,
    add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) = add(X_32,X_32),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))),X_32) )],[refute_0_720,refute_0_723]) ).

cnf(refute_0_725,plain,
    ( add(X_32,X_32) != X_32
    | add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) != add(X_32,X_32)
    | add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) = X_32 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),bind(Y,$fot(add(X_32,X_32))),bind(Z,$fot(X_32))]]) ).

cnf(refute_0_726,plain,
    ( add(X_32,X_32) != X_32
    | add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) = X_32 ),
    inference(resolve,[$cnf( $equal(add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))),add(X_32,X_32)) )],[refute_0_724,refute_0_725]) ).

cnf(refute_0_727,plain,
    add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) = X_32,
    inference(resolve,[$cnf( $equal(add(X_32,X_32),X_32) )],[refute_0_716,refute_0_726]) ).

cnf(refute_0_728,plain,
    add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) = add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))),
    introduced(tautology,[refl,[$fot(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))]]) ).

cnf(refute_0_729,plain,
    ( add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) != add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))
    | add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) != X_32
    | add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) = add(X_32,X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))),add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) ),[1,1],$fot(X_32)]]) ).

cnf(refute_0_730,plain,
    ( add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))) != X_32
    | add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) = add(X_32,X_32) ),
    inference(resolve,[$cnf( $equal(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))),add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) )],[refute_0_728,refute_0_729]) ).

cnf(refute_0_731,plain,
    add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) = add(X_32,X_32),
    inference(resolve,[$cnf( $equal(add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))),X_32) )],[refute_0_727,refute_0_730]) ).

cnf(refute_0_732,plain,
    ( add(X_32,X_32) != X_32
    | add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) != add(X_32,X_32)
    | add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) = X_32 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))),bind(Y,$fot(add(X_32,X_32))),bind(Z,$fot(X_32))]]) ).

cnf(refute_0_733,plain,
    ( add(X_32,X_32) != X_32
    | add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) = X_32 ),
    inference(resolve,[$cnf( $equal(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))),add(X_32,X_32)) )],[refute_0_731,refute_0_732]) ).

cnf(refute_0_734,plain,
    add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) = X_32,
    inference(resolve,[$cnf( $equal(add(X_32,X_32),X_32) )],[refute_0_716,refute_0_733]) ).

cnf(refute_0_735,plain,
    inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),
    introduced(tautology,[refl,[$fot(inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))))]]) ).

cnf(refute_0_736,plain,
    ( add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) != X_32
    | inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) != inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))
    | inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = inverse(X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))) ),[1,0],$fot(X_32)]]) ).

cnf(refute_0_737,plain,
    ( add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))) != X_32
    | inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = inverse(X_32) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))))) )],[refute_0_735,refute_0_736]) ).

cnf(refute_0_738,plain,
    inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) = inverse(X_32),
    inference(resolve,[$cnf( $equal(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))))),X_32) )],[refute_0_734,refute_0_737]) ).

cnf(refute_0_739,plain,
    ( inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) != add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))
    | inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) != inverse(X_32)
    | inverse(X_32) = add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) ),[0],$fot(inverse(X_32))]]) ).

cnf(refute_0_740,plain,
    ( inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) != add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))
    | inverse(X_32) = add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),inverse(X_32)) )],[refute_0_738,refute_0_739]) ).

cnf(refute_0_741,plain,
    inverse(inverse(inverse(X_32))) = inverse(X_32),
    inference(subst,[],[refute_0_109:[bind(C,$fot(inverse(X_32)))]]) ).

cnf(refute_0_742,plain,
    add(inverse(inverse(inverse(X_32))),X_32) = add(inverse(inverse(inverse(X_32))),X_32),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(inverse(X_32))),X_32))]]) ).

cnf(refute_0_743,plain,
    ( add(inverse(inverse(inverse(X_32))),X_32) != add(inverse(inverse(inverse(X_32))),X_32)
    | inverse(inverse(inverse(X_32))) != inverse(X_32)
    | add(inverse(inverse(inverse(X_32))),X_32) = add(inverse(X_32),X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(inverse(X_32))),X_32),add(inverse(inverse(inverse(X_32))),X_32)) ),[1,0],$fot(inverse(X_32))]]) ).

cnf(refute_0_744,plain,
    ( inverse(inverse(inverse(X_32))) != inverse(X_32)
    | add(inverse(inverse(inverse(X_32))),X_32) = add(inverse(X_32),X_32) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(inverse(X_32))),X_32),add(inverse(inverse(inverse(X_32))),X_32)) )],[refute_0_742,refute_0_743]) ).

cnf(refute_0_745,plain,
    add(inverse(inverse(inverse(X_32))),X_32) = add(inverse(X_32),X_32),
    inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_32))),inverse(X_32)) )],[refute_0_741,refute_0_744]) ).

cnf(refute_0_746,plain,
    inverse(add(inverse(inverse(inverse(X_32))),X_32)) = inverse(add(inverse(inverse(inverse(X_32))),X_32)),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(inverse(X_32))),X_32)))]]) ).

cnf(refute_0_747,plain,
    ( add(inverse(inverse(inverse(X_32))),X_32) != add(inverse(X_32),X_32)
    | inverse(add(inverse(inverse(inverse(X_32))),X_32)) != inverse(add(inverse(inverse(inverse(X_32))),X_32))
    | inverse(add(inverse(inverse(inverse(X_32))),X_32)) = inverse(add(inverse(X_32),X_32)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(inverse(X_32))),X_32)),inverse(add(inverse(inverse(inverse(X_32))),X_32))) ),[1,0],$fot(add(inverse(X_32),X_32))]]) ).

cnf(refute_0_748,plain,
    ( add(inverse(inverse(inverse(X_32))),X_32) != add(inverse(X_32),X_32)
    | inverse(add(inverse(inverse(inverse(X_32))),X_32)) = inverse(add(inverse(X_32),X_32)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(inverse(X_32))),X_32)),inverse(add(inverse(inverse(inverse(X_32))),X_32))) )],[refute_0_746,refute_0_747]) ).

cnf(refute_0_749,plain,
    inverse(add(inverse(inverse(inverse(X_32))),X_32)) = inverse(add(inverse(X_32),X_32)),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(inverse(X_32))),X_32),add(inverse(X_32),X_32)) )],[refute_0_745,refute_0_748]) ).

cnf(refute_0_750,plain,
    add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) = add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),
    introduced(tautology,[refl,[$fot(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))))]]) ).

cnf(refute_0_751,plain,
    ( add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) != add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))
    | inverse(add(inverse(inverse(inverse(X_32))),X_32)) != inverse(add(inverse(X_32),X_32))
    | add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) = add(inverse(X_32),inverse(add(inverse(X_32),X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) ),[1,1],$fot(inverse(add(inverse(X_32),X_32)))]]) ).

cnf(refute_0_752,plain,
    ( inverse(add(inverse(inverse(inverse(X_32))),X_32)) != inverse(add(inverse(X_32),X_32))
    | add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) = add(inverse(X_32),inverse(add(inverse(X_32),X_32))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) )],[refute_0_750,refute_0_751]) ).

cnf(refute_0_753,plain,
    add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) = add(inverse(X_32),inverse(add(inverse(X_32),X_32))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(inverse(X_32))),X_32)),inverse(add(inverse(X_32),X_32))) )],[refute_0_749,refute_0_752]) ).

cnf(refute_0_754,plain,
    ( add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))) != add(inverse(X_32),inverse(add(inverse(X_32),X_32)))
    | inverse(X_32) != add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))
    | inverse(X_32) = add(inverse(X_32),inverse(add(inverse(X_32),X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(X_32),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) ),[1],$fot(add(inverse(X_32),inverse(add(inverse(X_32),X_32))))]]) ).

cnf(refute_0_755,plain,
    ( inverse(X_32) != add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))
    | inverse(X_32) = add(inverse(X_32),inverse(add(inverse(X_32),X_32))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(X_32),X_32)))) )],[refute_0_753,refute_0_754]) ).

cnf(refute_0_756,plain,
    ( inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))) != add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))
    | inverse(X_32) = add(inverse(X_32),inverse(add(inverse(X_32),X_32))) ),
    inference(resolve,[$cnf( $equal(inverse(X_32),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) )],[refute_0_740,refute_0_755]) ).

cnf(refute_0_757,plain,
    inverse(X_32) = add(inverse(X_32),inverse(add(inverse(X_32),X_32))),
    inference(resolve,[$cnf( $equal(inverse(add(X_32,add(X_32,inverse(add(add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))))))),add(inverse(X_32),inverse(add(inverse(inverse(inverse(X_32))),X_32)))) )],[refute_0_715,refute_0_756]) ).

cnf(refute_0_758,plain,
    ( inverse(X_32) != add(inverse(X_32),inverse(add(inverse(X_32),X_32)))
    | add(inverse(X_32),inverse(add(inverse(X_32),X_32))) = inverse(X_32) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(inverse(X_32))),bind(Y,$fot(add(inverse(X_32),inverse(add(inverse(X_32),X_32)))))]]) ).

cnf(refute_0_759,plain,
    add(inverse(X_32),inverse(add(inverse(X_32),X_32))) = inverse(X_32),
    inference(resolve,[$cnf( $equal(inverse(X_32),add(inverse(X_32),inverse(add(inverse(X_32),X_32)))) )],[refute_0_757,refute_0_758]) ).

cnf(refute_0_760,plain,
    add(inverse(X_54),inverse(add(inverse(X_54),X_54))) = inverse(X_54),
    inference(subst,[],[refute_0_759:[bind(X_32,$fot(X_54))]]) ).

cnf(refute_0_761,plain,
    inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))) = inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))))]]) ).

cnf(refute_0_762,plain,
    ( add(inverse(X_54),inverse(add(inverse(X_54),X_54))) != inverse(X_54)
    | inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))) != inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54))))
    | inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))) = inverse(inverse(X_54)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54))))) ),[1,0],$fot(inverse(X_54))]]) ).

cnf(refute_0_763,plain,
    ( add(inverse(X_54),inverse(add(inverse(X_54),X_54))) != inverse(X_54)
    | inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))) = inverse(inverse(X_54)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54))))) )],[refute_0_761,refute_0_762]) ).

cnf(refute_0_764,plain,
    inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))) = inverse(inverse(X_54)),
    inference(resolve,[$cnf( $equal(add(inverse(X_54),inverse(add(inverse(X_54),X_54))),inverse(X_54)) )],[refute_0_760,refute_0_763]) ).

cnf(refute_0_765,plain,
    ( inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))) != inverse(inverse(X_54))
    | inverse(inverse(X_54)) != X_54
    | inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))) = X_54 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))))),bind(Y,$fot(inverse(inverse(X_54)))),bind(Z,$fot(X_54))]]) ).

cnf(refute_0_766,plain,
    ( inverse(inverse(X_54)) != X_54
    | inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))) = X_54 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(inverse(X_54))) )],[refute_0_764,refute_0_765]) ).

cnf(refute_0_767,plain,
    inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))) = X_54,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_54)),X_54) )],[refute_0_683,refute_0_766]) ).

cnf(refute_0_768,plain,
    add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)) = add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)),
    introduced(tautology,[refl,[$fot(add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)))]]) ).

cnf(refute_0_769,plain,
    ( add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)) != add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54))
    | inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))) != X_54
    | add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)) = add(X_54,inverse(X_54)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)),add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54))) ),[1,0],$fot(X_54)]]) ).

cnf(refute_0_770,plain,
    ( inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))) != X_54
    | add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)) = add(X_54,inverse(X_54)) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)),add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54))) )],[refute_0_768,refute_0_769]) ).

cnf(refute_0_771,plain,
    add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)) = add(X_54,inverse(X_54)),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),X_54) )],[refute_0_767,refute_0_770]) ).

cnf(refute_0_772,plain,
    ( add(inverse(X_54),X_54) != add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54))
    | add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)) != add(X_54,inverse(X_54))
    | add(inverse(X_54),X_54) = add(X_54,inverse(X_54)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(inverse(X_54),X_54),add(X_54,inverse(X_54))) ),[0],$fot(add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)))]]) ).

cnf(refute_0_773,plain,
    ( add(inverse(X_54),X_54) != add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54))
    | add(inverse(X_54),X_54) = add(X_54,inverse(X_54)) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54)),add(X_54,inverse(X_54))) )],[refute_0_771,refute_0_772]) ).

cnf(refute_0_774,plain,
    ( inverse(inverse(add(inverse(X_54),X_54))) != add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54))
    | add(inverse(X_54),X_54) = add(X_54,inverse(X_54)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_54),X_54),add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54))) )],[refute_0_682,refute_0_773]) ).

cnf(refute_0_775,plain,
    add(inverse(X_54),X_54) = add(X_54,inverse(X_54)),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_54),X_54))),add(inverse(add(inverse(X_54),inverse(add(inverse(X_54),X_54)))),inverse(X_54))) )],[refute_0_679,refute_0_774]) ).

cnf(refute_0_776,plain,
    add(inverse(X_105),X_105) = add(X_105,inverse(X_105)),
    inference(subst,[],[refute_0_775:[bind(X_54,$fot(X_105))]]) ).

cnf(refute_0_777,plain,
    ( add(inverse(X_105),X_105) != add(X_105,inverse(X_105))
    | add(inverse(X_105),X_105) != add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))
    | add(X_105,inverse(X_105)) = add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_105),X_105),add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))) ),[0],$fot(add(X_105,inverse(X_105)))]]) ).

cnf(refute_0_778,plain,
    ( add(inverse(X_105),X_105) != add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))
    | add(X_105,inverse(X_105)) = add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_105),X_105),add(X_105,inverse(X_105))) )],[refute_0_776,refute_0_777]) ).

cnf(refute_0_779,plain,
    inverse(inverse(X_105)) = X_105,
    inference(subst,[],[refute_0_109:[bind(C,$fot(X_105))]]) ).

cnf(refute_0_780,plain,
    add(inverse(X_105),inverse(add(inverse(X_105),X_105))) = inverse(X_105),
    inference(subst,[],[refute_0_759:[bind(X_32,$fot(X_105))]]) ).

cnf(refute_0_781,plain,
    inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))) = inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))]]) ).

cnf(refute_0_782,plain,
    ( add(inverse(X_105),inverse(add(inverse(X_105),X_105))) != inverse(X_105)
    | inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))) != inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))
    | inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))) = inverse(inverse(X_105)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) ),[1,0],$fot(inverse(X_105))]]) ).

cnf(refute_0_783,plain,
    ( add(inverse(X_105),inverse(add(inverse(X_105),X_105))) != inverse(X_105)
    | inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))) = inverse(inverse(X_105)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) )],[refute_0_781,refute_0_782]) ).

cnf(refute_0_784,plain,
    inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))) = inverse(inverse(X_105)),
    inference(resolve,[$cnf( $equal(add(inverse(X_105),inverse(add(inverse(X_105),X_105))),inverse(X_105)) )],[refute_0_780,refute_0_783]) ).

cnf(refute_0_785,plain,
    ( inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))) != inverse(inverse(X_105))
    | inverse(inverse(X_105)) != X_105
    | inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))) = X_105 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))),bind(Y,$fot(inverse(inverse(X_105)))),bind(Z,$fot(X_105))]]) ).

cnf(refute_0_786,plain,
    ( inverse(inverse(X_105)) != X_105
    | inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))) = X_105 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))),inverse(inverse(X_105))) )],[refute_0_784,refute_0_785]) ).

cnf(refute_0_787,plain,
    inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))) = X_105,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_105)),X_105) )],[refute_0_779,refute_0_786]) ).

cnf(refute_0_788,plain,
    add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) = add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))),
    introduced(tautology,[refl,[$fot(add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))))]]) ).

cnf(refute_0_789,plain,
    ( add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) != add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))
    | inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))) != X_105
    | add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) = add(add(X_105,inverse(X_105)),X_105) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))),add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))) ),[1,1],$fot(X_105)]]) ).

cnf(refute_0_790,plain,
    ( inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))) != X_105
    | add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) = add(add(X_105,inverse(X_105)),X_105) ),
    inference(resolve,[$cnf( $equal(add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))),add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))) )],[refute_0_788,refute_0_789]) ).

cnf(refute_0_791,plain,
    add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) = add(add(X_105,inverse(X_105)),X_105),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))),X_105) )],[refute_0_787,refute_0_790]) ).

cnf(refute_0_792,plain,
    add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) = add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))),
    introduced(tautology,[refl,[$fot(add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))))]]) ).

cnf(refute_0_793,plain,
    ( add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) != add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))
    | add(inverse(X_105),X_105) != add(X_105,inverse(X_105))
    | add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) = add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))),add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))) ),[1,0],$fot(add(X_105,inverse(X_105)))]]) ).

cnf(refute_0_794,plain,
    ( add(inverse(X_105),X_105) != add(X_105,inverse(X_105))
    | add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) = add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))),add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))) )],[refute_0_792,refute_0_793]) ).

cnf(refute_0_795,plain,
    add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) = add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))),
    inference(resolve,[$cnf( $equal(add(inverse(X_105),X_105),add(X_105,inverse(X_105))) )],[refute_0_776,refute_0_794]) ).

cnf(refute_0_796,plain,
    ( add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) != add(add(X_105,inverse(X_105)),X_105)
    | add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) != add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))
    | add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) = add(add(X_105,inverse(X_105)),X_105) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))))),bind(Y,$fot(add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))))),bind(Z,$fot(add(add(X_105,inverse(X_105)),X_105)))]]) ).

cnf(refute_0_797,plain,
    ( add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) != add(add(X_105,inverse(X_105)),X_105)
    | add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) = add(add(X_105,inverse(X_105)),X_105) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))),add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))) )],[refute_0_795,refute_0_796]) ).

cnf(refute_0_798,plain,
    add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) = add(add(X_105,inverse(X_105)),X_105),
    inference(resolve,[$cnf( $equal(add(add(X_105,inverse(X_105)),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))),add(add(X_105,inverse(X_105)),X_105)) )],[refute_0_791,refute_0_797]) ).

cnf(refute_0_799,plain,
    ( add(X_105,inverse(X_105)) != add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))
    | add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))) != add(add(X_105,inverse(X_105)),X_105)
    | add(X_105,inverse(X_105)) = add(add(X_105,inverse(X_105)),X_105) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X_105,inverse(X_105)),add(add(X_105,inverse(X_105)),X_105)) ),[0],$fot(add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))))]]) ).

cnf(refute_0_800,plain,
    ( add(X_105,inverse(X_105)) != add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))
    | add(X_105,inverse(X_105)) = add(add(X_105,inverse(X_105)),X_105) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105))))),add(add(X_105,inverse(X_105)),X_105)) )],[refute_0_798,refute_0_799]) ).

cnf(refute_0_801,plain,
    ( add(inverse(X_105),X_105) != add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))
    | add(X_105,inverse(X_105)) = add(add(X_105,inverse(X_105)),X_105) ),
    inference(resolve,[$cnf( $equal(add(X_105,inverse(X_105)),add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))) )],[refute_0_778,refute_0_800]) ).

cnf(refute_0_802,plain,
    add(X_105,inverse(X_105)) = add(add(X_105,inverse(X_105)),X_105),
    inference(resolve,[$cnf( $equal(add(inverse(X_105),X_105),add(add(inverse(X_105),X_105),inverse(add(inverse(X_105),inverse(add(inverse(X_105),X_105)))))) )],[refute_0_674,refute_0_801]) ).

cnf(refute_0_803,plain,
    ( add(X_105,inverse(X_105)) != add(add(X_105,inverse(X_105)),X_105)
    | add(add(X_105,inverse(X_105)),X_105) = add(X_105,inverse(X_105)) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(add(X_105,inverse(X_105)))),bind(Y,$fot(add(add(X_105,inverse(X_105)),X_105)))]]) ).

cnf(refute_0_804,plain,
    add(add(X_105,inverse(X_105)),X_105) = add(X_105,inverse(X_105)),
    inference(resolve,[$cnf( $equal(add(X_105,inverse(X_105)),add(add(X_105,inverse(X_105)),X_105)) )],[refute_0_802,refute_0_803]) ).

cnf(refute_0_805,plain,
    add(add(X_162,inverse(X_162)),X_162) = add(X_162,inverse(X_162)),
    inference(subst,[],[refute_0_804:[bind(X_105,$fot(X_162))]]) ).

cnf(refute_0_806,plain,
    add(inverse(X_162),X_162) = add(X_162,inverse(X_162)),
    inference(subst,[],[refute_0_775:[bind(X_54,$fot(X_162))]]) ).

cnf(refute_0_807,plain,
    add(add(inverse(X_162),X_162),X_162) = add(add(inverse(X_162),X_162),X_162),
    introduced(tautology,[refl,[$fot(add(add(inverse(X_162),X_162),X_162))]]) ).

cnf(refute_0_808,plain,
    ( add(add(inverse(X_162),X_162),X_162) != add(add(inverse(X_162),X_162),X_162)
    | add(inverse(X_162),X_162) != add(X_162,inverse(X_162))
    | add(add(inverse(X_162),X_162),X_162) = add(add(X_162,inverse(X_162)),X_162) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(X_162),X_162),X_162),add(add(inverse(X_162),X_162),X_162)) ),[1,0],$fot(add(X_162,inverse(X_162)))]]) ).

cnf(refute_0_809,plain,
    ( add(inverse(X_162),X_162) != add(X_162,inverse(X_162))
    | add(add(inverse(X_162),X_162),X_162) = add(add(X_162,inverse(X_162)),X_162) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(X_162),X_162),X_162),add(add(inverse(X_162),X_162),X_162)) )],[refute_0_807,refute_0_808]) ).

cnf(refute_0_810,plain,
    add(add(inverse(X_162),X_162),X_162) = add(add(X_162,inverse(X_162)),X_162),
    inference(resolve,[$cnf( $equal(add(inverse(X_162),X_162),add(X_162,inverse(X_162))) )],[refute_0_806,refute_0_809]) ).

cnf(refute_0_811,plain,
    ( add(add(X_162,inverse(X_162)),X_162) != add(X_162,inverse(X_162))
    | add(add(inverse(X_162),X_162),X_162) != add(add(X_162,inverse(X_162)),X_162)
    | add(add(inverse(X_162),X_162),X_162) = add(X_162,inverse(X_162)) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(add(inverse(X_162),X_162),X_162))),bind(Y,$fot(add(add(X_162,inverse(X_162)),X_162))),bind(Z,$fot(add(X_162,inverse(X_162))))]]) ).

cnf(refute_0_812,plain,
    ( add(add(X_162,inverse(X_162)),X_162) != add(X_162,inverse(X_162))
    | add(add(inverse(X_162),X_162),X_162) = add(X_162,inverse(X_162)) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(X_162),X_162),X_162),add(add(X_162,inverse(X_162)),X_162)) )],[refute_0_810,refute_0_811]) ).

cnf(refute_0_813,plain,
    add(add(inverse(X_162),X_162),X_162) = add(X_162,inverse(X_162)),
    inference(resolve,[$cnf( $equal(add(add(X_162,inverse(X_162)),X_162),add(X_162,inverse(X_162))) )],[refute_0_805,refute_0_812]) ).

cnf(refute_0_814,plain,
    inverse(add(add(inverse(X_162),X_162),X_162)) = inverse(add(add(inverse(X_162),X_162),X_162)),
    introduced(tautology,[refl,[$fot(inverse(add(add(inverse(X_162),X_162),X_162)))]]) ).

cnf(refute_0_815,plain,
    ( add(add(inverse(X_162),X_162),X_162) != add(X_162,inverse(X_162))
    | inverse(add(add(inverse(X_162),X_162),X_162)) != inverse(add(add(inverse(X_162),X_162),X_162))
    | inverse(add(add(inverse(X_162),X_162),X_162)) = inverse(add(X_162,inverse(X_162))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(inverse(X_162),X_162),X_162)),inverse(add(add(inverse(X_162),X_162),X_162))) ),[1,0],$fot(add(X_162,inverse(X_162)))]]) ).

cnf(refute_0_816,plain,
    ( add(add(inverse(X_162),X_162),X_162) != add(X_162,inverse(X_162))
    | inverse(add(add(inverse(X_162),X_162),X_162)) = inverse(add(X_162,inverse(X_162))) ),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(X_162),X_162),X_162)),inverse(add(add(inverse(X_162),X_162),X_162))) )],[refute_0_814,refute_0_815]) ).

cnf(refute_0_817,plain,
    inverse(add(add(inverse(X_162),X_162),X_162)) = inverse(add(X_162,inverse(X_162))),
    inference(resolve,[$cnf( $equal(add(add(inverse(X_162),X_162),X_162),add(X_162,inverse(X_162))) )],[refute_0_813,refute_0_816]) ).

cnf(refute_0_818,plain,
    add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161) = add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161),
    introduced(tautology,[refl,[$fot(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161))]]) ).

cnf(refute_0_819,plain,
    ( add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161) != add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)
    | inverse(add(add(inverse(X_162),X_162),X_162)) != inverse(add(X_162,inverse(X_162)))
    | add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161) = add(inverse(add(X_162,inverse(X_162))),X_161) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161),add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)) ),[1,0],$fot(inverse(add(X_162,inverse(X_162))))]]) ).

cnf(refute_0_820,plain,
    ( inverse(add(add(inverse(X_162),X_162),X_162)) != inverse(add(X_162,inverse(X_162)))
    | add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161) = add(inverse(add(X_162,inverse(X_162))),X_161) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161),add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)) )],[refute_0_818,refute_0_819]) ).

cnf(refute_0_821,plain,
    add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161) = add(inverse(add(X_162,inverse(X_162))),X_161),
    inference(resolve,[$cnf( $equal(inverse(add(add(inverse(X_162),X_162),X_162)),inverse(add(X_162,inverse(X_162)))) )],[refute_0_817,refute_0_820]) ).

cnf(refute_0_822,plain,
    inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)) = inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)))]]) ).

cnf(refute_0_823,plain,
    ( add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161) != add(inverse(add(X_162,inverse(X_162))),X_161)
    | inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)) != inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161))
    | inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)) = inverse(add(inverse(add(X_162,inverse(X_162))),X_161)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161))) ),[1,0],$fot(add(inverse(add(X_162,inverse(X_162))),X_161))]]) ).

cnf(refute_0_824,plain,
    ( add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161) != add(inverse(add(X_162,inverse(X_162))),X_161)
    | inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)) = inverse(add(inverse(add(X_162,inverse(X_162))),X_161)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161))) )],[refute_0_822,refute_0_823]) ).

cnf(refute_0_825,plain,
    inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)) = inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161),add(inverse(add(X_162,inverse(X_162))),X_161)) )],[refute_0_821,refute_0_824]) ).

cnf(refute_0_826,plain,
    add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))) = add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))),
    introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))))]]) ).

cnf(refute_0_827,plain,
    ( add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))) != add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))
    | inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)) != inverse(add(inverse(add(X_162,inverse(X_162))),X_161))
    | add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))) = add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))),add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) ),[1,0],$fot(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)))]]) ).

cnf(refute_0_828,plain,
    ( inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)) != inverse(add(inverse(add(X_162,inverse(X_162))),X_161))
    | add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))) = add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))),add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) )],[refute_0_826,refute_0_827]) ).

cnf(refute_0_829,plain,
    add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))) = add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(inverse(add(X_162,inverse(X_162))),X_161))) )],[refute_0_825,refute_0_828]) ).

cnf(refute_0_830,plain,
    inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) = inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))))]]) ).

cnf(refute_0_831,plain,
    ( add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))) != add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162)))
    | inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) != inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))))
    | inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) = inverse(add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))),inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))))) ),[1,0],$fot(add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162))))]]) ).

cnf(refute_0_832,plain,
    ( add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))) != add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162)))
    | inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) = inverse(add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162)))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))),inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))))) )],[refute_0_830,refute_0_831]) ).

cnf(refute_0_833,plain,
    inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) = inverse(add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162)))),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162))),add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162)))) )],[refute_0_829,refute_0_832]) ).

cnf(refute_0_834,plain,
    ( inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) != X_161
    | inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) != inverse(add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162))))
    | inverse(add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162)))) = X_161 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))),X_161) ),[0],$fot(inverse(add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162)))))]]) ).

cnf(refute_0_835,plain,
    ( inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))) != X_161
    | inverse(add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162)))) = X_161 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))),inverse(add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162))))) )],[refute_0_833,refute_0_834]) ).

cnf(refute_0_836,plain,
    inverse(add(inverse(add(inverse(add(X_162,inverse(X_162))),X_161)),inverse(add(X_161,X_162)))) = X_161,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(inverse(X_162),X_162),X_162)),X_161)),inverse(add(X_161,X_162)))),X_161) )],[refute_0_648,refute_0_835]) ).

cnf(refute_0_837,plain,
    inverse(add(inverse(add(inverse(add(X_172,inverse(X_172))),X_58)),inverse(add(X_58,X_172)))) = X_58,
    inference(subst,[],[refute_0_836:[bind(X_161,$fot(X_58)),bind(X_162,$fot(X_172))]]) ).

cnf(refute_0_838,plain,
    ( inverse(add(inverse(add(inverse(add(X_172,inverse(X_172))),X_58)),inverse(add(X_58,X_172)))) != X_58
    | inverse(inverse(add(X_58,X_172))) != add(inverse(add(X_58,inverse(add(X_58,X_172)))),inverse(add(inverse(add(inverse(add(X_172,inverse(X_172))),X_58)),inverse(add(X_58,X_172)))))
    | inverse(inverse(add(X_58,X_172))) = add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_58,X_172))),add(inverse(add(X_58,inverse(add(X_58,X_172)))),inverse(add(inverse(add(inverse(add(X_172,inverse(X_172))),X_58)),inverse(add(X_58,X_172)))))) ),[1,1],$fot(X_58)]]) ).

cnf(refute_0_839,plain,
    ( inverse(inverse(add(X_58,X_172))) != add(inverse(add(X_58,inverse(add(X_58,X_172)))),inverse(add(inverse(add(inverse(add(X_172,inverse(X_172))),X_58)),inverse(add(X_58,X_172)))))
    | inverse(inverse(add(X_58,X_172))) = add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_172,inverse(X_172))),X_58)),inverse(add(X_58,X_172)))),X_58) )],[refute_0_837,refute_0_838]) ).

cnf(refute_0_840,plain,
    inverse(inverse(add(X_58,X_172))) = add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(X_58,X_172))),add(inverse(add(X_58,inverse(add(X_58,X_172)))),inverse(add(inverse(add(inverse(add(X_172,inverse(X_172))),X_58)),inverse(add(X_58,X_172)))))) )],[refute_0_641,refute_0_839]) ).

cnf(refute_0_841,plain,
    inverse(inverse(add(X_58,X_172))) = add(X_58,X_172),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(X_58,X_172)))]]) ).

cnf(refute_0_842,plain,
    ( inverse(inverse(add(X_58,X_172))) != add(X_58,X_172)
    | inverse(inverse(add(X_58,X_172))) != add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58)
    | add(X_58,X_172) = add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_58,X_172))),add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58)) ),[0],$fot(add(X_58,X_172))]]) ).

cnf(refute_0_843,plain,
    ( inverse(inverse(add(X_58,X_172))) != add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58)
    | add(X_58,X_172) = add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(X_58,X_172))),add(X_58,X_172)) )],[refute_0_841,refute_0_842]) ).

cnf(refute_0_844,plain,
    add(X_58,X_172) = add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(X_58,X_172))),add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58)) )],[refute_0_840,refute_0_843]) ).

cnf(refute_0_845,plain,
    ( add(X_58,X_172) != add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58)
    | add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58) = add(X_58,X_172) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(add(X_58,X_172))),bind(Y,$fot(add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58)))]]) ).

cnf(refute_0_846,plain,
    add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58) = add(X_58,X_172),
    inference(resolve,[$cnf( $equal(add(X_58,X_172),add(inverse(add(X_58,inverse(add(X_58,X_172)))),X_58)) )],[refute_0_844,refute_0_845]) ).

cnf(refute_0_847,plain,
    add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)) = add(inverse(X_80),inverse(add(X_80,X_164))),
    inference(subst,[],[refute_0_846:[bind(X_172,$fot(inverse(add(X_80,X_164)))),bind(X_58,$fot(inverse(X_80)))]]) ).

cnf(refute_0_848,plain,
    ( add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)) != add(inverse(X_80),inverse(add(X_80,X_164)))
    | inverse(X_80) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80))
    | inverse(X_80) = add(inverse(X_80),inverse(add(X_80,X_164))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(X_80),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80))) ),[1],$fot(add(inverse(X_80),inverse(add(X_80,X_164))))]]) ).

cnf(refute_0_849,plain,
    ( inverse(X_80) != add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80))
    | inverse(X_80) = add(inverse(X_80),inverse(add(X_80,X_164))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80)),add(inverse(X_80),inverse(add(X_80,X_164)))) )],[refute_0_847,refute_0_848]) ).

cnf(refute_0_850,plain,
    inverse(X_80) = add(inverse(X_80),inverse(add(X_80,X_164))),
    inference(resolve,[$cnf( $equal(inverse(X_80),add(inverse(add(inverse(X_80),inverse(add(inverse(X_80),inverse(add(X_80,X_164)))))),inverse(X_80))) )],[refute_0_630,refute_0_849]) ).

cnf(refute_0_851,plain,
    ( inverse(X_80) != add(inverse(X_80),inverse(add(X_80,X_164)))
    | add(inverse(X_80),inverse(add(X_80,X_164))) = inverse(X_80) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(inverse(X_80))),bind(Y,$fot(add(inverse(X_80),inverse(add(X_80,X_164)))))]]) ).

cnf(refute_0_852,plain,
    add(inverse(X_80),inverse(add(X_80,X_164))) = inverse(X_80),
    inference(resolve,[$cnf( $equal(inverse(X_80),add(inverse(X_80),inverse(add(X_80,X_164)))) )],[refute_0_850,refute_0_851]) ).

cnf(refute_0_853,plain,
    add(inverse(X_151),inverse(add(X_151,inverse(X_54)))) = inverse(X_151),
    inference(subst,[],[refute_0_852:[bind(X_164,$fot(inverse(X_54))),bind(X_80,$fot(X_151))]]) ).

cnf(refute_0_854,plain,
    ( add(inverse(X_151),inverse(add(X_151,inverse(X_54)))) != add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))
    | add(inverse(X_151),inverse(add(X_151,inverse(X_54)))) != inverse(X_151)
    | inverse(X_151) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))),add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))) ),[0],$fot(inverse(X_151))]]) ).

cnf(refute_0_855,plain,
    ( add(inverse(X_151),inverse(add(X_151,inverse(X_54)))) != add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))
    | inverse(X_151) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))),inverse(X_151)) )],[refute_0_853,refute_0_854]) ).

cnf(refute_0_856,plain,
    add(inverse(C),inverse(add(C,X_117))) = inverse(C),
    inference(subst,[],[refute_0_852:[bind(X_164,$fot(X_117)),bind(X_80,$fot(C))]]) ).

cnf(refute_0_857,plain,
    inverse(add(inverse(C),inverse(add(C,X_117)))) = inverse(add(inverse(C),inverse(add(C,X_117)))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(C),inverse(add(C,X_117)))))]]) ).

cnf(refute_0_858,plain,
    ( add(inverse(C),inverse(add(C,X_117))) != inverse(C)
    | inverse(add(inverse(C),inverse(add(C,X_117)))) != inverse(add(inverse(C),inverse(add(C,X_117))))
    | inverse(add(inverse(C),inverse(add(C,X_117)))) = inverse(inverse(C)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,X_117)))),inverse(add(inverse(C),inverse(add(C,X_117))))) ),[1,0],$fot(inverse(C))]]) ).

cnf(refute_0_859,plain,
    ( add(inverse(C),inverse(add(C,X_117))) != inverse(C)
    | inverse(add(inverse(C),inverse(add(C,X_117)))) = inverse(inverse(C)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,X_117)))),inverse(add(inverse(C),inverse(add(C,X_117))))) )],[refute_0_857,refute_0_858]) ).

cnf(refute_0_860,plain,
    inverse(add(inverse(C),inverse(add(C,X_117)))) = inverse(inverse(C)),
    inference(resolve,[$cnf( $equal(add(inverse(C),inverse(add(C,X_117))),inverse(C)) )],[refute_0_856,refute_0_859]) ).

cnf(refute_0_861,plain,
    ( inverse(add(inverse(C),inverse(add(C,X_117)))) != inverse(inverse(C))
    | inverse(inverse(C)) != C
    | inverse(add(inverse(C),inverse(add(C,X_117)))) = C ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(C),inverse(add(C,X_117)))))),bind(Y,$fot(inverse(inverse(C)))),bind(Z,$fot(C))]]) ).

cnf(refute_0_862,plain,
    ( inverse(inverse(C)) != C
    | inverse(add(inverse(C),inverse(add(C,X_117)))) = C ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,X_117)))),inverse(inverse(C))) )],[refute_0_860,refute_0_861]) ).

cnf(refute_0_863,plain,
    inverse(add(inverse(C),inverse(add(C,X_117)))) = C,
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_862]) ).

cnf(refute_0_864,plain,
    add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))) = add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))),
    introduced(tautology,[refl,[$fot(add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))))]]) ).

cnf(refute_0_865,plain,
    ( add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))) != add(X_117,inverse(add(inverse(C),inverse(add(C,X_117)))))
    | inverse(add(inverse(C),inverse(add(C,X_117)))) != C
    | add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))) = add(X_117,C) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))),add(X_117,inverse(add(inverse(C),inverse(add(C,X_117)))))) ),[1,1],$fot(C)]]) ).

cnf(refute_0_866,plain,
    ( inverse(add(inverse(C),inverse(add(C,X_117)))) != C
    | add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))) = add(X_117,C) ),
    inference(resolve,[$cnf( $equal(add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))),add(X_117,inverse(add(inverse(C),inverse(add(C,X_117)))))) )],[refute_0_864,refute_0_865]) ).

cnf(refute_0_867,plain,
    add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))) = add(X_117,C),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,X_117)))),C) )],[refute_0_863,refute_0_866]) ).

cnf(refute_0_868,plain,
    ( add(C,X_117) != add(X_117,inverse(add(inverse(C),inverse(add(C,X_117)))))
    | add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))) != add(X_117,C)
    | add(C,X_117) = add(X_117,C) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(C,X_117),add(X_117,C)) ),[0],$fot(add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))))]]) ).

cnf(refute_0_869,plain,
    ( add(C,X_117) != add(X_117,inverse(add(inverse(C),inverse(add(C,X_117)))))
    | add(C,X_117) = add(X_117,C) ),
    inference(resolve,[$cnf( $equal(add(X_117,inverse(add(inverse(C),inverse(add(C,X_117))))),add(X_117,C)) )],[refute_0_867,refute_0_868]) ).

cnf(refute_0_870,plain,
    add(C,X_117) = add(X_117,C),
    inference(resolve,[$cnf( $equal(add(C,X_117),add(X_117,inverse(add(inverse(C),inverse(add(C,X_117)))))) )],[refute_0_141,refute_0_869]) ).

cnf(refute_0_871,plain,
    ( add(C,X_117) != add(X_117,C)
    | add(X_117,C) = add(C,X_117) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(add(C,X_117))),bind(Y,$fot(add(X_117,C)))]]) ).

cnf(refute_0_872,plain,
    add(X_117,C) = add(C,X_117),
    inference(resolve,[$cnf( $equal(add(C,X_117),add(X_117,C)) )],[refute_0_870,refute_0_871]) ).

cnf(refute_0_873,plain,
    add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,X_151))) = add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54)))),
    inference(subst,[],[refute_0_872:[bind(C,$fot(inverse(add(X_54,X_151)))),bind(X_117,$fot(inverse(add(X_151,inverse(X_54)))))]]) ).

cnf(refute_0_874,plain,
    inverse(inverse(X_151)) = X_151,
    inference(subst,[],[refute_0_109:[bind(C,$fot(X_151))]]) ).

cnf(refute_0_875,plain,
    inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) = inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))]]) ).

cnf(refute_0_876,plain,
    ( add(inverse(X_151),inverse(add(X_151,inverse(X_54)))) != inverse(X_151)
    | inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) != inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))
    | inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) = inverse(inverse(X_151)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) ),[1,0],$fot(inverse(X_151))]]) ).

cnf(refute_0_877,plain,
    ( add(inverse(X_151),inverse(add(X_151,inverse(X_54)))) != inverse(X_151)
    | inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) = inverse(inverse(X_151)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))),inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) )],[refute_0_875,refute_0_876]) ).

cnf(refute_0_878,plain,
    inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) = inverse(inverse(X_151)),
    inference(resolve,[$cnf( $equal(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))),inverse(X_151)) )],[refute_0_853,refute_0_877]) ).

cnf(refute_0_879,plain,
    ( inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) != inverse(inverse(X_151))
    | inverse(inverse(X_151)) != X_151
    | inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) = X_151 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))),bind(Y,$fot(inverse(inverse(X_151)))),bind(Z,$fot(X_151))]]) ).

cnf(refute_0_880,plain,
    ( inverse(inverse(X_151)) != X_151
    | inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) = X_151 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))),inverse(inverse(X_151))) )],[refute_0_878,refute_0_879]) ).

cnf(refute_0_881,plain,
    inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) = X_151,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_151)),X_151) )],[refute_0_874,refute_0_880]) ).

cnf(refute_0_882,plain,
    add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) = add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))),
    introduced(tautology,[refl,[$fot(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))]]) ).

cnf(refute_0_883,plain,
    ( add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) != add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))
    | inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) != X_151
    | add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) = add(X_54,X_151) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))),add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))) ),[1,1],$fot(X_151)]]) ).

cnf(refute_0_884,plain,
    ( inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))) != X_151
    | add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) = add(X_54,X_151) ),
    inference(resolve,[$cnf( $equal(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))),add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))) )],[refute_0_882,refute_0_883]) ).

cnf(refute_0_885,plain,
    add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) = add(X_54,X_151),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))),X_151) )],[refute_0_881,refute_0_884]) ).

cnf(refute_0_886,plain,
    inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))) = inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))),
    introduced(tautology,[refl,[$fot(inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))]]) ).

cnf(refute_0_887,plain,
    ( add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) != add(X_54,X_151)
    | inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))) != inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))
    | inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))) = inverse(add(X_54,X_151)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) ),[1,0],$fot(add(X_54,X_151))]]) ).

cnf(refute_0_888,plain,
    ( add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))) != add(X_54,X_151)
    | inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))) = inverse(add(X_54,X_151)) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) )],[refute_0_886,refute_0_887]) ).

cnf(refute_0_889,plain,
    inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))) = inverse(add(X_54,X_151)),
    inference(resolve,[$cnf( $equal(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))),add(X_54,X_151)) )],[refute_0_885,refute_0_888]) ).

cnf(refute_0_890,plain,
    add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))))]]) ).

cnf(refute_0_891,plain,
    ( add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) != add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))
    | inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))) != inverse(add(X_54,X_151))
    | add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,X_151))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))),add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))) ),[1,1],$fot(inverse(add(X_54,X_151)))]]) ).

cnf(refute_0_892,plain,
    ( inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))) != inverse(add(X_54,X_151))
    | add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,X_151))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))),add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))) )],[refute_0_890,refute_0_891]) ).

cnf(refute_0_893,plain,
    add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) = add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,X_151))),
    inference(resolve,[$cnf( $equal(inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))),inverse(add(X_54,X_151))) )],[refute_0_889,refute_0_892]) ).

cnf(refute_0_894,plain,
    ( add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,X_151))) != add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54))))
    | add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) != add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,X_151)))
    | add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) = add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54)))) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))))),bind(Y,$fot(add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,X_151))))),bind(Z,$fot(add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54))))))]]) ).

cnf(refute_0_895,plain,
    ( add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,X_151))) != add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54))))
    | add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) = add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))),add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,X_151)))) )],[refute_0_893,refute_0_894]) ).

cnf(refute_0_896,plain,
    add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) = add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54)))),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,X_151))),add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54))))) )],[refute_0_873,refute_0_895]) ).

cnf(refute_0_897,plain,
    ( add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))) != add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54))))
    | inverse(X_151) != add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))
    | inverse(X_151) = add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(X_151),add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))) ),[1],$fot(add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54)))))]]) ).

cnf(refute_0_898,plain,
    ( inverse(X_151) != add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))
    | inverse(X_151) = add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))))))),add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54))))) )],[refute_0_896,refute_0_897]) ).

cnf(refute_0_899,plain,
    ( add(inverse(X_151),inverse(add(X_151,inverse(X_54)))) != add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))
    | inverse(X_151) = add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54)))) ),
    inference(resolve,[$cnf( $equal(inverse(X_151),add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))) )],[refute_0_855,refute_0_898]) ).

cnf(refute_0_900,plain,
    inverse(X_151) = add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54)))),
    inference(resolve,[$cnf( $equal(add(inverse(X_151),inverse(add(X_151,inverse(X_54)))),add(inverse(add(X_151,inverse(X_54))),inverse(add(X_54,inverse(add(inverse(X_151),inverse(add(X_151,inverse(X_54))))))))) )],[refute_0_151,refute_0_899]) ).

cnf(refute_0_901,plain,
    ( inverse(X_151) != add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54))))
    | add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54)))) = inverse(X_151) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(inverse(X_151))),bind(Y,$fot(add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54))))))]]) ).

cnf(refute_0_902,plain,
    add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54)))) = inverse(X_151),
    inference(resolve,[$cnf( $equal(inverse(X_151),add(inverse(add(X_54,X_151)),inverse(add(X_151,inverse(X_54))))) )],[refute_0_900,refute_0_901]) ).

cnf(refute_0_903,plain,
    add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) = inverse(inverse(a)),
    inference(subst,[],[refute_0_902:[bind(X_151,$fot(inverse(a))),bind(X_54,$fot(b))]]) ).

cnf(refute_0_904,plain,
    ( add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) != inverse(inverse(a))
    | inverse(inverse(a)) != a
    | add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) = a ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))))),bind(Y,$fot(inverse(inverse(a)))),bind(Z,$fot(a))]]) ).

cnf(refute_0_905,plain,
    ( inverse(inverse(a)) != a
    | add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) = a ),
    inference(resolve,[$cnf( $equal(add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))),inverse(inverse(a))) )],[refute_0_903,refute_0_904]) ).

cnf(refute_0_906,plain,
    add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) = a,
    inference(resolve,[$cnf( $equal(inverse(inverse(a)),a) )],[refute_0_110,refute_0_905]) ).

cnf(refute_0_907,plain,
    inverse(add(X_131,inverse(add(inverse(add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133))))),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) = inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),
    inference(subst,[],[refute_0_529:[bind(B,$fot(X_131)),bind(D,$fot(X_132)),bind(X_0,$fot(X_133)),bind(X_1,$fot(inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133))))),bind(X_3,$fot(X_135))]]) ).

cnf(refute_0_908,plain,
    inverse(inverse(X_86)) = add(inverse(add(inverse(add(add(add(X_86,inverse(X_86)),X_86),X_86)),inverse(X_86))),inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86)))),
    inference(subst,[],[refute_0_120:[bind(X_54,$fot(add(add(add(X_86,inverse(X_86)),X_86),X_86))),bind(X_55,$fot(inverse(X_86)))]]) ).

cnf(refute_0_909,plain,
    inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))))))) = inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))),
    inference(subst,[],[refute_0_72:[bind(X_45,$fot(X_80)),bind(X_46,$fot(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))]]) ).

cnf(refute_0_910,plain,
    inverse(inverse(add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51))))) = add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51))),
    inference(subst,[],[refute_0_109:[bind(C,$fot(add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51)))))]]) ).

cnf(refute_0_911,plain,
    inverse(add(inverse(add(inverse(add(add(add(X_47,inverse(X_47)),X_47),inverse(X_47))),X_47)),inverse(add(add(add(X_47,inverse(X_47)),X_47),X_47)))) = X_47,
    inference(subst,[],[refute_0_23:[bind(A,$fot(add(add(X_47,inverse(X_47)),X_47))),bind(B,$fot(inverse(X_47))),bind(C,$fot(X_47))]]) ).

cnf(refute_0_912,plain,
    inverse(add(inverse(add(add(add(X_36,inverse(X_36)),X_36),inverse(X_36))),inverse(add(inverse(add(add(X_36,inverse(X_36)),X_36)),inverse(X_36))))) = inverse(X_36),
    inference(subst,[],[refute_0_59:[bind(X_24,$fot(inverse(X_36))),bind(X_27,$fot(add(add(X_36,inverse(X_36)),X_36)))]]) ).

cnf(refute_0_913,plain,
    inverse(add(inverse(add(add(X_30,inverse(X_30)),X_30)),inverse(add(inverse(add(X_30,inverse(X_30))),X_30)))) = X_30,
    inference(subst,[],[refute_0_59:[bind(X_24,$fot(X_30)),bind(X_27,$fot(add(X_30,inverse(X_30))))]]) ).

cnf(refute_0_914,plain,
    inverse(add(inverse(add(X_30,inverse(X_30))),X_30)) = inverse(X_30),
    inference(subst,[],[refute_0_10:[bind(X_6,$fot(X_30))]]) ).

cnf(refute_0_915,plain,
    ( inverse(add(inverse(add(X_30,inverse(X_30))),X_30)) != inverse(X_30)
    | inverse(add(inverse(add(add(X_30,inverse(X_30)),X_30)),inverse(add(inverse(add(X_30,inverse(X_30))),X_30)))) != X_30
    | inverse(add(inverse(add(add(X_30,inverse(X_30)),X_30)),inverse(X_30))) = X_30 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(add(X_30,inverse(X_30)),X_30)),inverse(add(inverse(add(X_30,inverse(X_30))),X_30)))),X_30) ),[0,0,1],$fot(inverse(X_30))]]) ).

cnf(refute_0_916,plain,
    ( inverse(add(inverse(add(add(X_30,inverse(X_30)),X_30)),inverse(add(inverse(add(X_30,inverse(X_30))),X_30)))) != X_30
    | inverse(add(inverse(add(add(X_30,inverse(X_30)),X_30)),inverse(X_30))) = X_30 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_30,inverse(X_30))),X_30)),inverse(X_30)) )],[refute_0_914,refute_0_915]) ).

cnf(refute_0_917,plain,
    inverse(add(inverse(add(add(X_30,inverse(X_30)),X_30)),inverse(X_30))) = X_30,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(X_30,inverse(X_30)),X_30)),inverse(add(inverse(add(X_30,inverse(X_30))),X_30)))),X_30) )],[refute_0_913,refute_0_916]) ).

cnf(refute_0_918,plain,
    inverse(add(inverse(add(add(X_36,inverse(X_36)),X_36)),inverse(X_36))) = X_36,
    inference(subst,[],[refute_0_917:[bind(X_30,$fot(X_36))]]) ).

cnf(refute_0_919,plain,
    ( inverse(add(inverse(add(add(X_36,inverse(X_36)),X_36)),inverse(X_36))) != X_36
    | inverse(add(inverse(add(add(add(X_36,inverse(X_36)),X_36),inverse(X_36))),inverse(add(inverse(add(add(X_36,inverse(X_36)),X_36)),inverse(X_36))))) != inverse(X_36)
    | inverse(add(inverse(add(add(add(X_36,inverse(X_36)),X_36),inverse(X_36))),X_36)) = inverse(X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(add(add(X_36,inverse(X_36)),X_36),inverse(X_36))),inverse(add(inverse(add(add(X_36,inverse(X_36)),X_36)),inverse(X_36))))),inverse(X_36)) ),[0,0,1],$fot(X_36)]]) ).

cnf(refute_0_920,plain,
    ( inverse(add(inverse(add(add(add(X_36,inverse(X_36)),X_36),inverse(X_36))),inverse(add(inverse(add(add(X_36,inverse(X_36)),X_36)),inverse(X_36))))) != inverse(X_36)
    | inverse(add(inverse(add(add(add(X_36,inverse(X_36)),X_36),inverse(X_36))),X_36)) = inverse(X_36) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(X_36,inverse(X_36)),X_36)),inverse(X_36))),X_36) )],[refute_0_918,refute_0_919]) ).

cnf(refute_0_921,plain,
    inverse(add(inverse(add(add(add(X_36,inverse(X_36)),X_36),inverse(X_36))),X_36)) = inverse(X_36),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(add(X_36,inverse(X_36)),X_36),inverse(X_36))),inverse(add(inverse(add(add(X_36,inverse(X_36)),X_36)),inverse(X_36))))),inverse(X_36)) )],[refute_0_912,refute_0_920]) ).

cnf(refute_0_922,plain,
    inverse(add(inverse(add(add(add(X_47,inverse(X_47)),X_47),inverse(X_47))),X_47)) = inverse(X_47),
    inference(subst,[],[refute_0_921:[bind(X_36,$fot(X_47))]]) ).

cnf(refute_0_923,plain,
    ( inverse(add(inverse(add(add(add(X_47,inverse(X_47)),X_47),inverse(X_47))),X_47)) != inverse(X_47)
    | inverse(add(inverse(add(inverse(add(add(add(X_47,inverse(X_47)),X_47),inverse(X_47))),X_47)),inverse(add(add(add(X_47,inverse(X_47)),X_47),X_47)))) != X_47
    | inverse(add(inverse(X_47),inverse(add(add(add(X_47,inverse(X_47)),X_47),X_47)))) = X_47 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(add(X_47,inverse(X_47)),X_47),inverse(X_47))),X_47)),inverse(add(add(add(X_47,inverse(X_47)),X_47),X_47)))),X_47) ),[0,0,0],$fot(inverse(X_47))]]) ).

cnf(refute_0_924,plain,
    ( inverse(add(inverse(add(inverse(add(add(add(X_47,inverse(X_47)),X_47),inverse(X_47))),X_47)),inverse(add(add(add(X_47,inverse(X_47)),X_47),X_47)))) != X_47
    | inverse(add(inverse(X_47),inverse(add(add(add(X_47,inverse(X_47)),X_47),X_47)))) = X_47 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(add(X_47,inverse(X_47)),X_47),inverse(X_47))),X_47)),inverse(X_47)) )],[refute_0_922,refute_0_923]) ).

cnf(refute_0_925,plain,
    inverse(add(inverse(X_47),inverse(add(add(add(X_47,inverse(X_47)),X_47),X_47)))) = X_47,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(add(add(X_47,inverse(X_47)),X_47),inverse(X_47))),X_47)),inverse(add(add(add(X_47,inverse(X_47)),X_47),X_47)))),X_47) )],[refute_0_911,refute_0_924]) ).

cnf(refute_0_926,plain,
    inverse(add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51)))) = X_51,
    inference(subst,[],[refute_0_925:[bind(X_47,$fot(X_51))]]) ).

cnf(refute_0_927,plain,
    ( inverse(add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51)))) != X_51
    | inverse(inverse(add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51))))) != add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51)))
    | inverse(X_51) = add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51))))),add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51)))) ),[0,0],$fot(X_51)]]) ).

cnf(refute_0_928,plain,
    ( inverse(inverse(add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51))))) != add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51)))
    | inverse(X_51) = add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51)))),X_51) )],[refute_0_926,refute_0_927]) ).

cnf(refute_0_929,plain,
    inverse(X_51) = add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51))),
    inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51))))),add(inverse(X_51),inverse(add(add(add(X_51,inverse(X_51)),X_51),X_51)))) )],[refute_0_910,refute_0_928]) ).

cnf(refute_0_930,plain,
    inverse(inverse(C)) = add(inverse(inverse(C)),inverse(add(add(add(inverse(C),inverse(inverse(C))),inverse(C)),inverse(C)))),
    inference(subst,[],[refute_0_929:[bind(X_51,$fot(inverse(C)))]]) ).

cnf(refute_0_931,plain,
    ( inverse(inverse(C)) != C
    | inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(add(add(inverse(C),inverse(inverse(C))),inverse(C)),inverse(C))))
    | inverse(inverse(C)) = add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(C)),add(inverse(inverse(C)),inverse(add(add(add(inverse(C),inverse(inverse(C))),inverse(C)),inverse(C))))) ),[1,1,0,0,0,1],$fot(C)]]) ).

cnf(refute_0_932,plain,
    ( inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(add(add(inverse(C),inverse(inverse(C))),inverse(C)),inverse(C))))
    | inverse(inverse(C)) = add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_931]) ).

cnf(refute_0_933,plain,
    inverse(inverse(C)) = add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),add(inverse(inverse(C)),inverse(add(add(add(inverse(C),inverse(inverse(C))),inverse(C)),inverse(C))))) )],[refute_0_930,refute_0_932]) ).

cnf(refute_0_934,plain,
    ( inverse(inverse(C)) != C
    | inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))
    | C = add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(C)),add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))) ),[0],$fot(C)]]) ).

cnf(refute_0_935,plain,
    ( inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))
    | C = add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_934]) ).

cnf(refute_0_936,plain,
    add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) = add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))))]]) ).

cnf(refute_0_937,plain,
    ( add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) != add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))
    | inverse(inverse(C)) != C
    | add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) = add(C,inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))),add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))) ),[1,0],$fot(C)]]) ).

cnf(refute_0_938,plain,
    ( inverse(inverse(C)) != C
    | add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) = add(C,inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))),add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))) )],[refute_0_936,refute_0_937]) ).

cnf(refute_0_939,plain,
    add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) = add(C,inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_109,refute_0_938]) ).

cnf(refute_0_940,plain,
    ( C != add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))
    | add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) != add(C,inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))
    | C = add(C,inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(C,add(C,inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))) ),[0],$fot(add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))))]]) ).

cnf(refute_0_941,plain,
    ( C != add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))
    | C = add(C,inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))),add(C,inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))) )],[refute_0_939,refute_0_940]) ).

cnf(refute_0_942,plain,
    ( inverse(inverse(C)) != add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))
    | C = add(C,inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(C,add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))) )],[refute_0_935,refute_0_941]) ).

cnf(refute_0_943,plain,
    C = add(C,inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(C)),add(inverse(inverse(C)),inverse(add(add(add(inverse(C),C),inverse(C)),inverse(C))))) )],[refute_0_933,refute_0_942]) ).

cnf(refute_0_944,plain,
    inverse(X_80) = add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))),
    inference(subst,[],[refute_0_943:[bind(C,$fot(inverse(X_80)))]]) ).

cnf(refute_0_945,plain,
    ( inverse(X_80) != add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))
    | add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))) = inverse(X_80) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(inverse(X_80))),bind(Y,$fot(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))))]]) ).

cnf(refute_0_946,plain,
    add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))) = inverse(X_80),
    inference(resolve,[$cnf( $equal(inverse(X_80),add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) )],[refute_0_944,refute_0_945]) ).

cnf(refute_0_947,plain,
    ( add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))) != inverse(X_80)
    | inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))))))) != inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))))))),inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))) ),[0,0,1,0,1,0],$fot(inverse(X_80))]]) ).

cnf(refute_0_948,plain,
    ( inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))))))) != inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))),inverse(X_80)) )],[refute_0_946,refute_0_947]) ).

cnf(refute_0_949,plain,
    inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))))))),inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))) )],[refute_0_909,refute_0_948]) ).

cnf(refute_0_950,plain,
    add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))))]]) ).

cnf(refute_0_951,plain,
    ( add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80)))))
    | inverse(add(X_80,inverse(inverse(X_80)))) != inverse(X_80)
    | add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80)))))) ),[1,1],$fot(inverse(X_80))]]) ).

cnf(refute_0_952,plain,
    ( inverse(add(X_80,inverse(inverse(X_80)))) != inverse(X_80)
    | add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80)) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80)))))) )],[refute_0_950,refute_0_951]) ).

cnf(refute_0_953,plain,
    add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80)),
    inference(resolve,[$cnf( $equal(inverse(add(X_80,inverse(inverse(X_80)))),inverse(X_80)) )],[refute_0_304,refute_0_952]) ).

cnf(refute_0_954,plain,
    add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))) = add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))),
    introduced(tautology,[refl,[$fot(add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))))]]) ).

cnf(refute_0_955,plain,
    ( add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))) != add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80)))
    | inverse(inverse(X_80)) != X_80
    | add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))) = add(add(add(X_80,inverse(X_80)),X_80),X_80) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))),add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80)))) ),[1,1],$fot(X_80)]]) ).

cnf(refute_0_956,plain,
    ( inverse(inverse(X_80)) != X_80
    | add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))) = add(add(add(X_80,inverse(X_80)),X_80),X_80) ),
    inference(resolve,[$cnf( $equal(add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))),add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80)))) )],[refute_0_954,refute_0_955]) ).

cnf(refute_0_957,plain,
    add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))) = add(add(add(X_80,inverse(X_80)),X_80),X_80),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_293,refute_0_956]) ).

cnf(refute_0_958,plain,
    add(add(X_80,inverse(X_80)),inverse(inverse(X_80))) = add(add(X_80,inverse(X_80)),inverse(inverse(X_80))),
    introduced(tautology,[refl,[$fot(add(add(X_80,inverse(X_80)),inverse(inverse(X_80))))]]) ).

cnf(refute_0_959,plain,
    ( add(add(X_80,inverse(X_80)),inverse(inverse(X_80))) != add(add(X_80,inverse(X_80)),inverse(inverse(X_80)))
    | inverse(inverse(X_80)) != X_80
    | add(add(X_80,inverse(X_80)),inverse(inverse(X_80))) = add(add(X_80,inverse(X_80)),X_80) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(X_80,inverse(X_80)),inverse(inverse(X_80))),add(add(X_80,inverse(X_80)),inverse(inverse(X_80)))) ),[1,1],$fot(X_80)]]) ).

cnf(refute_0_960,plain,
    ( inverse(inverse(X_80)) != X_80
    | add(add(X_80,inverse(X_80)),inverse(inverse(X_80))) = add(add(X_80,inverse(X_80)),X_80) ),
    inference(resolve,[$cnf( $equal(add(add(X_80,inverse(X_80)),inverse(inverse(X_80))),add(add(X_80,inverse(X_80)),inverse(inverse(X_80)))) )],[refute_0_958,refute_0_959]) ).

cnf(refute_0_961,plain,
    add(add(X_80,inverse(X_80)),inverse(inverse(X_80))) = add(add(X_80,inverse(X_80)),X_80),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_293,refute_0_960]) ).

cnf(refute_0_962,plain,
    add(inverse(inverse(X_80)),inverse(X_80)) = add(inverse(inverse(X_80)),inverse(X_80)),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(X_80)),inverse(X_80)))]]) ).

cnf(refute_0_963,plain,
    ( add(inverse(inverse(X_80)),inverse(X_80)) != add(inverse(inverse(X_80)),inverse(X_80))
    | inverse(inverse(X_80)) != X_80
    | add(inverse(inverse(X_80)),inverse(X_80)) = add(X_80,inverse(X_80)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_80)),inverse(X_80)),add(inverse(inverse(X_80)),inverse(X_80))) ),[1,0],$fot(X_80)]]) ).

cnf(refute_0_964,plain,
    ( inverse(inverse(X_80)) != X_80
    | add(inverse(inverse(X_80)),inverse(X_80)) = add(X_80,inverse(X_80)) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_80)),inverse(X_80)),add(inverse(inverse(X_80)),inverse(X_80))) )],[refute_0_962,refute_0_963]) ).

cnf(refute_0_965,plain,
    add(inverse(inverse(X_80)),inverse(X_80)) = add(X_80,inverse(X_80)),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_293,refute_0_964]) ).

cnf(refute_0_966,plain,
    add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))) = add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),
    introduced(tautology,[refl,[$fot(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))))]]) ).

cnf(refute_0_967,plain,
    ( add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))) != add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80)))
    | add(inverse(inverse(X_80)),inverse(X_80)) != add(X_80,inverse(X_80))
    | add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))) = add(add(X_80,inverse(X_80)),inverse(inverse(X_80))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80)))) ),[1,0],$fot(add(X_80,inverse(X_80)))]]) ).

cnf(refute_0_968,plain,
    ( add(inverse(inverse(X_80)),inverse(X_80)) != add(X_80,inverse(X_80))
    | add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))) = add(add(X_80,inverse(X_80)),inverse(inverse(X_80))) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80)))) )],[refute_0_966,refute_0_967]) ).

cnf(refute_0_969,plain,
    add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))) = add(add(X_80,inverse(X_80)),inverse(inverse(X_80))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_80)),inverse(X_80)),add(X_80,inverse(X_80))) )],[refute_0_965,refute_0_968]) ).

cnf(refute_0_970,plain,
    ( add(add(X_80,inverse(X_80)),inverse(inverse(X_80))) != add(add(X_80,inverse(X_80)),X_80)
    | add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))) != add(add(X_80,inverse(X_80)),inverse(inverse(X_80)))
    | add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))) = add(add(X_80,inverse(X_80)),X_80) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))))),bind(Y,$fot(add(add(X_80,inverse(X_80)),inverse(inverse(X_80))))),bind(Z,$fot(add(add(X_80,inverse(X_80)),X_80)))]]) ).

cnf(refute_0_971,plain,
    ( add(add(X_80,inverse(X_80)),inverse(inverse(X_80))) != add(add(X_80,inverse(X_80)),X_80)
    | add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))) = add(add(X_80,inverse(X_80)),X_80) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),add(add(X_80,inverse(X_80)),inverse(inverse(X_80)))) )],[refute_0_969,refute_0_970]) ).

cnf(refute_0_972,plain,
    add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))) = add(add(X_80,inverse(X_80)),X_80),
    inference(resolve,[$cnf( $equal(add(add(X_80,inverse(X_80)),inverse(inverse(X_80))),add(add(X_80,inverse(X_80)),X_80)) )],[refute_0_961,refute_0_971]) ).

cnf(refute_0_973,plain,
    add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))),
    introduced(tautology,[refl,[$fot(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))]]) ).

cnf(refute_0_974,plain,
    ( add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))) != add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))
    | add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))) != add(add(X_80,inverse(X_80)),X_80)
    | add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))),add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))) ),[1,0],$fot(add(add(X_80,inverse(X_80)),X_80))]]) ).

cnf(refute_0_975,plain,
    ( add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))) != add(add(X_80,inverse(X_80)),X_80)
    | add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))) ),
    inference(resolve,[$cnf( $equal(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))),add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))) )],[refute_0_973,refute_0_974]) ).

cnf(refute_0_976,plain,
    add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))),
    inference(resolve,[$cnf( $equal(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),add(add(X_80,inverse(X_80)),X_80)) )],[refute_0_972,refute_0_975]) ).

cnf(refute_0_977,plain,
    ( add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))) != add(add(add(X_80,inverse(X_80)),X_80),X_80)
    | add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))) != add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80)))
    | add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(add(X_80,inverse(X_80)),X_80),X_80) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))),bind(Y,$fot(add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))))),bind(Z,$fot(add(add(add(X_80,inverse(X_80)),X_80),X_80)))]]) ).

cnf(refute_0_978,plain,
    ( add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))) != add(add(add(X_80,inverse(X_80)),X_80),X_80)
    | add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(add(X_80,inverse(X_80)),X_80),X_80) ),
    inference(resolve,[$cnf( $equal(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))),add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80)))) )],[refute_0_976,refute_0_977]) ).

cnf(refute_0_979,plain,
    add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))) = add(add(add(X_80,inverse(X_80)),X_80),X_80),
    inference(resolve,[$cnf( $equal(add(add(add(X_80,inverse(X_80)),X_80),inverse(inverse(X_80))),add(add(add(X_80,inverse(X_80)),X_80),X_80)) )],[refute_0_957,refute_0_978]) ).

cnf(refute_0_980,plain,
    inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))) = inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),
    introduced(tautology,[refl,[$fot(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))]]) ).

cnf(refute_0_981,plain,
    ( add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))) != add(add(add(X_80,inverse(X_80)),X_80),X_80)
    | inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))) != inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))
    | inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))) = inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))) ),[1,0],$fot(add(add(add(X_80,inverse(X_80)),X_80),X_80))]]) ).

cnf(refute_0_982,plain,
    ( add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))) != add(add(add(X_80,inverse(X_80)),X_80),X_80)
    | inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))) = inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)) ),
    inference(resolve,[$cnf( $equal(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))) )],[refute_0_980,refute_0_981]) ).

cnf(refute_0_983,plain,
    inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))) = inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),
    inference(resolve,[$cnf( $equal(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))),add(add(add(X_80,inverse(X_80)),X_80),X_80)) )],[refute_0_979,refute_0_982]) ).

cnf(refute_0_984,plain,
    add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))),
    introduced(tautology,[refl,[$fot(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))))]]) ).

cnf(refute_0_985,plain,
    ( add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))
    | inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))) != inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80))
    | add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) ),[1,0],$fot(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)))]]) ).

cnf(refute_0_986,plain,
    ( inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))) != inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80))
    | add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) )],[refute_0_984,refute_0_985]) ).

cnf(refute_0_987,plain,
    add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))),
    inference(resolve,[$cnf( $equal(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80))) )],[refute_0_983,refute_0_986]) ).

cnf(refute_0_988,plain,
    ( add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))
    | add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80)))))
    | add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80)) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))))),bind(Y,$fot(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))))),bind(Z,$fot(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))))]]) ).

cnf(refute_0_989,plain,
    ( add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))
    | add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80)) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80)))))) )],[refute_0_987,refute_0_988]) ).

cnf(refute_0_990,plain,
    add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) = add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80)),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) )],[refute_0_953,refute_0_989]) ).

cnf(refute_0_991,plain,
    inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))))]]) ).

cnf(refute_0_992,plain,
    ( add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))
    | inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) != inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))))) ),[1,0],$fot(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80)))]]) ).

cnf(refute_0_993,plain,
    ( add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))) != add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))
    | inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))))) )],[refute_0_991,refute_0_992]) ).

cnf(refute_0_994,plain,
    inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) = inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))),
    inference(resolve,[$cnf( $equal(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80))))),add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) )],[refute_0_990,refute_0_993]) ).

cnf(refute_0_995,plain,
    ( inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) != inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) != inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80)))
    | inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) = inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))) ),[0],$fot(inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))))]]) ).

cnf(refute_0_996,plain,
    ( inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) != inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) = inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80)))) )],[refute_0_994,refute_0_995]) ).

cnf(refute_0_997,plain,
    inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))))]]) ).

cnf(refute_0_998,plain,
    ( add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))) != inverse(X_80)
    | inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) != inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = inverse(inverse(X_80)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))),inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))) ),[1,0],$fot(inverse(X_80))]]) ).

cnf(refute_0_999,plain,
    ( add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))) != inverse(X_80)
    | inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = inverse(inverse(X_80)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))),inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))) )],[refute_0_997,refute_0_998]) ).

cnf(refute_0_1000,plain,
    inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = inverse(inverse(X_80)),
    inference(resolve,[$cnf( $equal(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))),inverse(X_80)) )],[refute_0_946,refute_0_999]) ).

cnf(refute_0_1001,plain,
    ( inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) != inverse(inverse(X_80))
    | inverse(inverse(X_80)) != X_80
    | inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = X_80 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))))),bind(Y,$fot(inverse(inverse(X_80)))),bind(Z,$fot(X_80))]]) ).

cnf(refute_0_1002,plain,
    ( inverse(inverse(X_80)) != X_80
    | inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = X_80 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))),inverse(inverse(X_80))) )],[refute_0_1000,refute_0_1001]) ).

cnf(refute_0_1003,plain,
    inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) = X_80,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_293,refute_0_1002]) ).

cnf(refute_0_1004,plain,
    ( inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))) != X_80
    | inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) != inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) = X_80 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))),inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))) ),[1],$fot(X_80)]]) ).

cnf(refute_0_1005,plain,
    ( inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) != inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) = X_80 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))))),X_80) )],[refute_0_1003,refute_0_1004]) ).

cnf(refute_0_1006,plain,
    ( inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))) != inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))
    | inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) = X_80 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))),inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))) )],[refute_0_996,refute_0_1005]) ).

cnf(refute_0_1007,plain,
    inverse(add(inverse(add(add(add(X_80,inverse(X_80)),X_80),X_80)),inverse(X_80))) = X_80,
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80)))),inverse(add(X_80,inverse(inverse(X_80)))))),inverse(add(inverse(X_80),inverse(add(add(add(inverse(inverse(X_80)),inverse(X_80)),inverse(inverse(X_80))),inverse(inverse(X_80))))))) )],[refute_0_949,refute_0_1006]) ).

cnf(refute_0_1008,plain,
    inverse(add(inverse(add(add(add(X_86,inverse(X_86)),X_86),X_86)),inverse(X_86))) = X_86,
    inference(subst,[],[refute_0_1007:[bind(X_80,$fot(X_86))]]) ).

cnf(refute_0_1009,plain,
    ( inverse(add(inverse(add(add(add(X_86,inverse(X_86)),X_86),X_86)),inverse(X_86))) != X_86
    | inverse(inverse(X_86)) != add(inverse(add(inverse(add(add(add(X_86,inverse(X_86)),X_86),X_86)),inverse(X_86))),inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86))))
    | inverse(inverse(X_86)) = add(X_86,inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_86)),add(inverse(add(inverse(add(add(add(X_86,inverse(X_86)),X_86),X_86)),inverse(X_86))),inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86))))) ),[1,0],$fot(X_86)]]) ).

cnf(refute_0_1010,plain,
    ( inverse(inverse(X_86)) != add(inverse(add(inverse(add(add(add(X_86,inverse(X_86)),X_86),X_86)),inverse(X_86))),inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86))))
    | inverse(inverse(X_86)) = add(X_86,inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86)))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(add(add(X_86,inverse(X_86)),X_86),X_86)),inverse(X_86))),X_86) )],[refute_0_1008,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    inverse(inverse(X_86)) = add(X_86,inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_86)),add(inverse(add(inverse(add(add(add(X_86,inverse(X_86)),X_86),X_86)),inverse(X_86))),inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86))))) )],[refute_0_908,refute_0_1010]) ).

cnf(refute_0_1012,plain,
    inverse(inverse(X_86)) = X_86,
    inference(subst,[],[refute_0_109:[bind(C,$fot(X_86))]]) ).

cnf(refute_0_1013,plain,
    ( inverse(inverse(X_86)) != X_86
    | inverse(inverse(X_86)) != add(X_86,inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86))))
    | X_86 = add(X_86,inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_86)),add(X_86,inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86))))) ),[0],$fot(X_86)]]) ).

cnf(refute_0_1014,plain,
    ( inverse(inverse(X_86)) != add(X_86,inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86))))
    | X_86 = add(X_86,inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_86)),X_86) )],[refute_0_1012,refute_0_1013]) ).

cnf(refute_0_1015,plain,
    X_86 = add(X_86,inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_86)),add(X_86,inverse(add(add(add(add(X_86,inverse(X_86)),X_86),X_86),inverse(X_86))))) )],[refute_0_1011,refute_0_1014]) ).

cnf(refute_0_1016,plain,
    X_133 = add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133)))),
    inference(subst,[],[refute_0_1015:[bind(X_86,$fot(X_133))]]) ).

cnf(refute_0_1017,plain,
    ( X_133 != add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133))))
    | add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133)))) = X_133 ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(X_133)),bind(Y,$fot(add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133))))))]]) ).

cnf(refute_0_1018,plain,
    add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133)))) = X_133,
    inference(resolve,[$cnf( $equal(X_133,add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133))))) )],[refute_0_1016,refute_0_1017]) ).

cnf(refute_0_1019,plain,
    ( add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133)))) != X_133
    | inverse(add(X_131,inverse(add(inverse(add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133))))),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) != inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) = inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133))))),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))),inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))) ),[0,0,1,0,0,0],$fot(X_133)]]) ).

cnf(refute_0_1020,plain,
    ( inverse(add(X_131,inverse(add(inverse(add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133))))),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) != inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) = inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) ),
    inference(resolve,[$cnf( $equal(add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133)))),X_133) )],[refute_0_1018,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) = inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),
    inference(resolve,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(add(X_133,inverse(add(add(add(add(X_133,inverse(X_133)),X_133),X_133),inverse(X_133))))),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))),inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))) )],[refute_0_907,refute_0_1020]) ).

cnf(refute_0_1022,plain,
    inverse(inverse(X_131)) = X_131,
    inference(subst,[],[refute_0_109:[bind(C,$fot(X_131))]]) ).

cnf(refute_0_1023,plain,
    add(inverse(X_131),inverse(add(X_131,X_135))) = inverse(X_131),
    inference(subst,[],[refute_0_852:[bind(X_164,$fot(X_135)),bind(X_80,$fot(X_131))]]) ).

cnf(refute_0_1024,plain,
    inverse(add(inverse(X_131),inverse(add(X_131,X_135)))) = inverse(add(inverse(X_131),inverse(add(X_131,X_135)))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))]]) ).

cnf(refute_0_1025,plain,
    ( add(inverse(X_131),inverse(add(X_131,X_135))) != inverse(X_131)
    | inverse(add(inverse(X_131),inverse(add(X_131,X_135)))) != inverse(add(inverse(X_131),inverse(add(X_131,X_135))))
    | inverse(add(inverse(X_131),inverse(add(X_131,X_135)))) = inverse(inverse(X_131)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_131),inverse(add(X_131,X_135)))),inverse(add(inverse(X_131),inverse(add(X_131,X_135))))) ),[1,0],$fot(inverse(X_131))]]) ).

cnf(refute_0_1026,plain,
    ( add(inverse(X_131),inverse(add(X_131,X_135))) != inverse(X_131)
    | inverse(add(inverse(X_131),inverse(add(X_131,X_135)))) = inverse(inverse(X_131)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_131),inverse(add(X_131,X_135)))),inverse(add(inverse(X_131),inverse(add(X_131,X_135))))) )],[refute_0_1024,refute_0_1025]) ).

cnf(refute_0_1027,plain,
    inverse(add(inverse(X_131),inverse(add(X_131,X_135)))) = inverse(inverse(X_131)),
    inference(resolve,[$cnf( $equal(add(inverse(X_131),inverse(add(X_131,X_135))),inverse(X_131)) )],[refute_0_1023,refute_0_1026]) ).

cnf(refute_0_1028,plain,
    ( inverse(add(inverse(X_131),inverse(add(X_131,X_135)))) != inverse(inverse(X_131))
    | inverse(inverse(X_131)) != X_131
    | inverse(add(inverse(X_131),inverse(add(X_131,X_135)))) = X_131 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),bind(Y,$fot(inverse(inverse(X_131)))),bind(Z,$fot(X_131))]]) ).

cnf(refute_0_1029,plain,
    ( inverse(inverse(X_131)) != X_131
    | inverse(add(inverse(X_131),inverse(add(X_131,X_135)))) = X_131 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_131),inverse(add(X_131,X_135)))),inverse(inverse(X_131))) )],[refute_0_1027,refute_0_1028]) ).

cnf(refute_0_1030,plain,
    inverse(add(inverse(X_131),inverse(add(X_131,X_135)))) = X_131,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_131)),X_131) )],[refute_0_1022,refute_0_1029]) ).

cnf(refute_0_1031,plain,
    add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))) = add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),
    introduced(tautology,[refl,[$fot(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))]]) ).

cnf(refute_0_1032,plain,
    ( add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))) != add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))
    | inverse(add(inverse(X_131),inverse(add(X_131,X_135)))) != X_131
    | add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))) = add(X_133,X_131) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) ),[1,1],$fot(X_131)]]) ).

cnf(refute_0_1033,plain,
    ( inverse(add(inverse(X_131),inverse(add(X_131,X_135)))) != X_131
    | add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))) = add(X_133,X_131) ),
    inference(resolve,[$cnf( $equal(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) )],[refute_0_1031,refute_0_1032]) ).

cnf(refute_0_1034,plain,
    add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))) = add(X_133,X_131),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_131),inverse(add(X_131,X_135)))),X_131) )],[refute_0_1030,refute_0_1033]) ).

cnf(refute_0_1035,plain,
    inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) = inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),
    introduced(tautology,[refl,[$fot(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))))]]) ).

cnf(refute_0_1036,plain,
    ( add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))) != add(X_133,X_131)
    | inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) != inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))
    | inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) = inverse(add(X_133,X_131)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))) ),[1,0],$fot(add(X_133,X_131))]]) ).

cnf(refute_0_1037,plain,
    ( add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))) != add(X_133,X_131)
    | inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) = inverse(add(X_133,X_131)) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))) )],[refute_0_1035,refute_0_1036]) ).

cnf(refute_0_1038,plain,
    inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) = inverse(add(X_133,X_131)),
    inference(resolve,[$cnf( $equal(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),add(X_133,X_131)) )],[refute_0_1034,refute_0_1037]) ).

cnf(refute_0_1039,plain,
    add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132) = add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132),
    introduced(tautology,[refl,[$fot(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))]]) ).

cnf(refute_0_1040,plain,
    ( add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132) != add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)
    | inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) != inverse(add(X_133,X_131))
    | add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132) = add(inverse(add(X_133,X_131)),X_132) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132),add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)) ),[1,0],$fot(inverse(add(X_133,X_131)))]]) ).

cnf(refute_0_1041,plain,
    ( inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) != inverse(add(X_133,X_131))
    | add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132) = add(inverse(add(X_133,X_131)),X_132) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132),add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)) )],[refute_0_1039,refute_0_1040]) ).

cnf(refute_0_1042,plain,
    add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132) = add(inverse(add(X_133,X_131)),X_132),
    inference(resolve,[$cnf( $equal(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),inverse(add(X_133,X_131))) )],[refute_0_1038,refute_0_1041]) ).

cnf(refute_0_1043,plain,
    inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)) = inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))]]) ).

cnf(refute_0_1044,plain,
    ( add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132) != add(inverse(add(X_133,X_131)),X_132)
    | inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)) != inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))
    | inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)) = inverse(add(inverse(add(X_133,X_131)),X_132)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) ),[1,0],$fot(add(inverse(add(X_133,X_131)),X_132))]]) ).

cnf(refute_0_1045,plain,
    ( add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132) != add(inverse(add(X_133,X_131)),X_132)
    | inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)) = inverse(add(inverse(add(X_133,X_131)),X_132)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) )],[refute_0_1043,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)) = inverse(add(inverse(add(X_133,X_131)),X_132)),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132),add(inverse(add(X_133,X_131)),X_132)) )],[refute_0_1042,refute_0_1045]) ).

cnf(refute_0_1047,plain,
    add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) = add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))),
    introduced(tautology,[refl,[$fot(add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))]]) ).

cnf(refute_0_1048,plain,
    ( add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) != add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))
    | inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)) != inverse(add(inverse(add(X_133,X_131)),X_132))
    | add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) = add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))),add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) ),[1,1],$fot(inverse(add(inverse(add(X_133,X_131)),X_132)))]]) ).

cnf(refute_0_1049,plain,
    ( inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)) != inverse(add(inverse(add(X_133,X_131)),X_132))
    | add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) = add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))) ),
    inference(resolve,[$cnf( $equal(add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))),add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) )],[refute_0_1047,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) = add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)),inverse(add(inverse(add(X_133,X_131)),X_132))) )],[refute_0_1046,refute_0_1049]) ).

cnf(refute_0_1051,plain,
    add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) = add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))),
    introduced(tautology,[refl,[$fot(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))]]) ).

cnf(refute_0_1052,plain,
    ( add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))) != add(X_133,X_131)
    | add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) != add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))
    | add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) = add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))),add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) ),[1,0],$fot(add(X_133,X_131))]]) ).

cnf(refute_0_1053,plain,
    ( add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))) != add(X_133,X_131)
    | add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) = add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) ),
    inference(resolve,[$cnf( $equal(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))),add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) )],[refute_0_1051,refute_0_1052]) ).

cnf(refute_0_1054,plain,
    add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) = add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))),
    inference(resolve,[$cnf( $equal(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),add(X_133,X_131)) )],[refute_0_1034,refute_0_1053]) ).

cnf(refute_0_1055,plain,
    ( add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) != add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))
    | add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) != add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))
    | add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) = add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))),bind(Y,$fot(add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))),bind(Z,$fot(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))]]) ).

cnf(refute_0_1056,plain,
    ( add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) != add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))
    | add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) = add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))) ),
    inference(resolve,[$cnf( $equal(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))),add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) )],[refute_0_1054,refute_0_1055]) ).

cnf(refute_0_1057,plain,
    add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) = add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))),
    inference(resolve,[$cnf( $equal(add(add(X_133,X_131),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))),add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))) )],[refute_0_1050,refute_0_1056]) ).

cnf(refute_0_1058,plain,
    inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) = inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))),
    introduced(tautology,[refl,[$fot(inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))]]) ).

cnf(refute_0_1059,plain,
    ( add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) != add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))
    | inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) != inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))
    | inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) = inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))) ),[1,0],$fot(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))]]) ).

cnf(refute_0_1060,plain,
    ( add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))) != add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))
    | inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) = inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))) ),
    inference(resolve,[$cnf( $equal(inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))) )],[refute_0_1058,refute_0_1059]) ).

cnf(refute_0_1061,plain,
    inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) = inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))),
    inference(resolve,[$cnf( $equal(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))),add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))) )],[refute_0_1057,refute_0_1060]) ).

cnf(refute_0_1062,plain,
    add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))) = add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))),
    introduced(tautology,[refl,[$fot(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))]]) ).

cnf(refute_0_1063,plain,
    ( add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))) != add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))
    | inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) != inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))
    | add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))) = add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))),add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))) ),[1,1],$fot(inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))]]) ).

cnf(refute_0_1064,plain,
    ( inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))) != inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))
    | add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))) = add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))),add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))) )],[refute_0_1062,refute_0_1063]) ).

cnf(refute_0_1065,plain,
    add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))) = add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))),
    inference(resolve,[$cnf( $equal(inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) )],[refute_0_1061,refute_0_1064]) ).

cnf(refute_0_1066,plain,
    inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))) = inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))]]) ).

cnf(refute_0_1067,plain,
    ( add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))) != add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))
    | inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))) != inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))
    | inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))) = inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))),inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))) ),[1,0],$fot(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))]]) ).

cnf(refute_0_1068,plain,
    ( add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))) != add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))
    | inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))) = inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))),inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))) )],[refute_0_1066,refute_0_1067]) ).

cnf(refute_0_1069,plain,
    inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))) = inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))),
    inference(resolve,[$cnf( $equal(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))),add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) )],[refute_0_1065,refute_0_1068]) ).

cnf(refute_0_1070,plain,
    add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))) = add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))),
    introduced(tautology,[refl,[$fot(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))))]]) ).

cnf(refute_0_1071,plain,
    ( add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))) != add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))
    | inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))) != inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))
    | add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))) = add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))),add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) ),[1,1],$fot(inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))]]) ).

cnf(refute_0_1072,plain,
    ( inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))) != inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))
    | add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))) = add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) ),
    inference(resolve,[$cnf( $equal(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))),add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) )],[refute_0_1070,refute_0_1071]) ).

cnf(refute_0_1073,plain,
    add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))) = add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))),inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) )],[refute_0_1069,refute_0_1072]) ).

cnf(refute_0_1074,plain,
    inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) = inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))),
    introduced(tautology,[refl,[$fot(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))))]]) ).

cnf(refute_0_1075,plain,
    ( add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))) != add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) != inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) = inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))),inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))))) ),[1,0],$fot(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))))]]) ).

cnf(refute_0_1076,plain,
    ( add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))) != add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) = inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))),inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))))) )],[refute_0_1074,refute_0_1075]) ).

cnf(refute_0_1077,plain,
    inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) = inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))),
    inference(resolve,[$cnf( $equal(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132))))))),add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) )],[refute_0_1073,refute_0_1076]) ).

cnf(refute_0_1078,plain,
    ( inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) != inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) != inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) = inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))),inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))) ),[0],$fot(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))))]]) ).

cnf(refute_0_1079,plain,
    ( inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) != inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) = inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))),inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))))) )],[refute_0_1077,refute_0_1078]) ).

cnf(refute_0_1080,plain,
    ( inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) != inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))
    | inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))) != inverse(add(X_133,X_131))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) = inverse(add(X_133,X_131)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))),inverse(add(X_133,X_131))) ),[0],$fot(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))))]]) ).

cnf(refute_0_1081,plain,
    ( inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) != inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) = inverse(add(X_133,X_131)) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),inverse(add(X_133,X_131))) )],[refute_0_1038,refute_0_1080]) ).

cnf(refute_0_1082,plain,
    ( inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))) != inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) = inverse(add(X_133,X_131)) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))),inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))) )],[refute_0_1079,refute_0_1081]) ).

cnf(refute_0_1083,plain,
    inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) = inverse(add(X_133,X_131)),
    inference(resolve,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))),inverse(add(inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135)))))),X_132)))))))),inverse(add(X_133,inverse(add(inverse(X_131),inverse(add(X_131,X_135))))))) )],[refute_0_1021,refute_0_1082]) ).

cnf(refute_0_1084,plain,
    inverse(inverse(X_133)) = X_133,
    inference(subst,[],[refute_0_109:[bind(C,$fot(X_133))]]) ).

cnf(refute_0_1085,plain,
    add(inverse(X_133),inverse(add(X_133,X_131))) = inverse(X_133),
    inference(subst,[],[refute_0_852:[bind(X_164,$fot(X_131)),bind(X_80,$fot(X_133))]]) ).

cnf(refute_0_1086,plain,
    add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))) = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))))))),
    inference(subst,[],[refute_0_141:[bind(X_117,$fot(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))))]]) ).

cnf(refute_0_1087,plain,
    inverse(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))))) = inverse(C),
    inference(subst,[],[refute_0_396:[bind(X_160,$fot(C)),bind(X_162,$fot(X_164))]]) ).

cnf(refute_0_1088,plain,
    ( add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))) != add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))))))))
    | inverse(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))))) != inverse(C)
    | add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))) = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))),add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))))))))) ),[1,1,0,1],$fot(inverse(C))]]) ).

cnf(refute_0_1089,plain,
    ( add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))) != add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))))))))
    | add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))) = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(inverse(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))))),inverse(C)) )],[refute_0_1087,refute_0_1088]) ).

cnf(refute_0_1090,plain,
    add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))) = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))),
    inference(resolve,[$cnf( $equal(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))),add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))))))))) )],[refute_0_1086,refute_0_1089]) ).

cnf(refute_0_1091,plain,
    add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))) = C,
    inference(subst,[],[refute_0_588:[bind(X_163,$fot(C))]]) ).

cnf(refute_0_1092,plain,
    ( add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))) != C
    | add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))) != add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C))))
    | C = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))),add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C))))) ),[0],$fot(C)]]) ).

cnf(refute_0_1093,plain,
    ( add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))) != add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C))))
    | C = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))) ),
    inference(resolve,[$cnf( $equal(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))),C) )],[refute_0_1091,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))) = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))),
    introduced(tautology,[refl,[$fot(add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))))]]) ).

cnf(refute_0_1095,plain,
    ( add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))) != add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C))))
    | inverse(add(inverse(C),inverse(C))) != C
    | add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))) = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))),add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C))))) ),[1,1],$fot(C)]]) ).

cnf(refute_0_1096,plain,
    ( inverse(add(inverse(C),inverse(C))) != C
    | add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))) = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))),add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C))))) )],[refute_0_1094,refute_0_1095]) ).

cnf(refute_0_1097,plain,
    add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))) = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(C))),C) )],[refute_0_76,refute_0_1096]) ).

cnf(refute_0_1098,plain,
    ( C != add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C))))
    | add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))) != add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C)
    | C = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(C,add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C)) ),[0],$fot(add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))))]]) ).

cnf(refute_0_1099,plain,
    ( C != add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C))))
    | C = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C)))),add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C)) )],[refute_0_1097,refute_0_1098]) ).

cnf(refute_0_1100,plain,
    ( add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))) != add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C))))
    | C = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C) ),
    inference(resolve,[$cnf( $equal(C,add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C))))) )],[refute_0_1093,refute_0_1099]) ).

cnf(refute_0_1101,plain,
    C = add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C),
    inference(resolve,[$cnf( $equal(add(C,inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164))))))),add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),inverse(add(inverse(C),inverse(C))))) )],[refute_0_1090,refute_0_1100]) ).

cnf(refute_0_1102,plain,
    add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C) = add(C,inverse(add(inverse(C),X_164))),
    inference(subst,[],[refute_0_846:[bind(X_172,$fot(inverse(add(inverse(C),X_164)))),bind(X_58,$fot(C))]]) ).

cnf(refute_0_1103,plain,
    ( C != add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C)
    | add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C) != add(C,inverse(add(inverse(C),X_164)))
    | C = add(C,inverse(add(inverse(C),X_164))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(C,add(C,inverse(add(inverse(C),X_164)))) ),[0],$fot(add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C))]]) ).

cnf(refute_0_1104,plain,
    ( C != add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C)
    | C = add(C,inverse(add(inverse(C),X_164))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C),add(C,inverse(add(inverse(C),X_164)))) )],[refute_0_1102,refute_0_1103]) ).

cnf(refute_0_1105,plain,
    C = add(C,inverse(add(inverse(C),X_164))),
    inference(resolve,[$cnf( $equal(C,add(inverse(add(C,inverse(add(C,inverse(add(inverse(C),X_164)))))),C)) )],[refute_0_1101,refute_0_1104]) ).

cnf(refute_0_1106,plain,
    ( C != add(C,inverse(add(inverse(C),X_164)))
    | add(C,inverse(add(inverse(C),X_164))) = C ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(C)),bind(Y,$fot(add(C,inverse(add(inverse(C),X_164)))))]]) ).

cnf(refute_0_1107,plain,
    add(C,inverse(add(inverse(C),X_164))) = C,
    inference(resolve,[$cnf( $equal(C,add(C,inverse(add(inverse(C),X_164)))) )],[refute_0_1105,refute_0_1106]) ).

cnf(refute_0_1108,plain,
    add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))) = add(X_133,X_131),
    inference(subst,[],[refute_0_1107:[bind(C,$fot(add(X_133,X_131))),bind(X_164,$fot(X_132))]]) ).

cnf(refute_0_1109,plain,
    inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))) = inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))),
    introduced(tautology,[refl,[$fot(inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))]]) ).

cnf(refute_0_1110,plain,
    ( add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))) != add(X_133,X_131)
    | inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))) != inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))
    | inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))) = inverse(add(X_133,X_131)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) ),[1,0],$fot(add(X_133,X_131))]]) ).

cnf(refute_0_1111,plain,
    ( add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))) != add(X_133,X_131)
    | inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))) = inverse(add(X_133,X_131)) ),
    inference(resolve,[$cnf( $equal(inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) )],[refute_0_1109,refute_0_1110]) ).

cnf(refute_0_1112,plain,
    inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))) = inverse(add(X_133,X_131)),
    inference(resolve,[$cnf( $equal(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))),add(X_133,X_131)) )],[refute_0_1108,refute_0_1111]) ).

cnf(refute_0_1113,plain,
    add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) = add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))),
    introduced(tautology,[refl,[$fot(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))]]) ).

cnf(refute_0_1114,plain,
    ( add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) != add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))
    | inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))) != inverse(add(X_133,X_131))
    | add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) = add(inverse(X_133),inverse(add(X_133,X_131))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))),add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) ),[1,1],$fot(inverse(add(X_133,X_131)))]]) ).

cnf(refute_0_1115,plain,
    ( inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))) != inverse(add(X_133,X_131))
    | add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) = add(inverse(X_133),inverse(add(X_133,X_131))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))),add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) )],[refute_0_1113,refute_0_1114]) ).

cnf(refute_0_1116,plain,
    add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) = add(inverse(X_133),inverse(add(X_133,X_131))),
    inference(resolve,[$cnf( $equal(inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))),inverse(add(X_133,X_131))) )],[refute_0_1112,refute_0_1115]) ).

cnf(refute_0_1117,plain,
    ( add(inverse(X_133),inverse(add(X_133,X_131))) != inverse(X_133)
    | add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) != add(inverse(X_133),inverse(add(X_133,X_131)))
    | add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) = inverse(X_133) ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))),bind(Y,$fot(add(inverse(X_133),inverse(add(X_133,X_131))))),bind(Z,$fot(inverse(X_133)))]]) ).

cnf(refute_0_1118,plain,
    ( add(inverse(X_133),inverse(add(X_133,X_131))) != inverse(X_133)
    | add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) = inverse(X_133) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))),add(inverse(X_133),inverse(add(X_133,X_131)))) )],[refute_0_1116,refute_0_1117]) ).

cnf(refute_0_1119,plain,
    add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) = inverse(X_133),
    inference(resolve,[$cnf( $equal(add(inverse(X_133),inverse(add(X_133,X_131))),inverse(X_133)) )],[refute_0_1085,refute_0_1118]) ).

cnf(refute_0_1120,plain,
    inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) = inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))),
    introduced(tautology,[refl,[$fot(inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))]]) ).

cnf(refute_0_1121,plain,
    ( add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) != inverse(X_133)
    | inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) != inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))
    | inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) = inverse(inverse(X_133)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))),inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) ),[1,0],$fot(inverse(X_133))]]) ).

cnf(refute_0_1122,plain,
    ( add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))) != inverse(X_133)
    | inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) = inverse(inverse(X_133)) ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))),inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) )],[refute_0_1120,refute_0_1121]) ).

cnf(refute_0_1123,plain,
    inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) = inverse(inverse(X_133)),
    inference(resolve,[$cnf( $equal(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))),inverse(X_133)) )],[refute_0_1119,refute_0_1122]) ).

cnf(refute_0_1124,plain,
    ( inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) != inverse(inverse(X_133))
    | inverse(inverse(X_133)) != X_133
    | inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) = X_133 ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))),bind(Y,$fot(inverse(inverse(X_133)))),bind(Z,$fot(X_133))]]) ).

cnf(refute_0_1125,plain,
    ( inverse(inverse(X_133)) != X_133
    | inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) = X_133 ),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))),inverse(inverse(X_133))) )],[refute_0_1123,refute_0_1124]) ).

cnf(refute_0_1126,plain,
    inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) = X_133,
    inference(resolve,[$cnf( $equal(inverse(inverse(X_133)),X_133) )],[refute_0_1084,refute_0_1125]) ).

cnf(refute_0_1127,plain,
    add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) = add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))),
    introduced(tautology,[refl,[$fot(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))))]]) ).

cnf(refute_0_1128,plain,
    ( add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) != add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))
    | inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) != X_133
    | add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) = add(X_131,X_133) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))),add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) ),[1,1],$fot(X_133)]]) ).

cnf(refute_0_1129,plain,
    ( inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))) != X_133
    | add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) = add(X_131,X_133) ),
    inference(resolve,[$cnf( $equal(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))),add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) )],[refute_0_1127,refute_0_1128]) ).

cnf(refute_0_1130,plain,
    add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) = add(X_131,X_133),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))),X_133) )],[refute_0_1126,refute_0_1129]) ).

cnf(refute_0_1131,plain,
    inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) = inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))),
    introduced(tautology,[refl,[$fot(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))))]]) ).

cnf(refute_0_1132,plain,
    ( add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) != add(X_131,X_133)
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) != inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) = inverse(add(X_131,X_133)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))),inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))))) ),[1,0],$fot(add(X_131,X_133))]]) ).

cnf(refute_0_1133,plain,
    ( add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))) != add(X_131,X_133)
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) = inverse(add(X_131,X_133)) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))),inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))))) )],[refute_0_1131,refute_0_1132]) ).

cnf(refute_0_1134,plain,
    inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) = inverse(add(X_131,X_133)),
    inference(resolve,[$cnf( $equal(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132))))))),add(X_131,X_133)) )],[refute_0_1130,refute_0_1133]) ).

cnf(refute_0_1135,plain,
    ( inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) != inverse(add(X_131,X_133))
    | inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) != inverse(add(X_133,X_131))
    | inverse(add(X_131,X_133)) = inverse(add(X_133,X_131)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))),inverse(add(X_133,X_131))) ),[0],$fot(inverse(add(X_131,X_133)))]]) ).

cnf(refute_0_1136,plain,
    ( inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))) != inverse(add(X_133,X_131))
    | inverse(add(X_131,X_133)) = inverse(add(X_133,X_131)) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))),inverse(add(X_131,X_133))) )],[refute_0_1134,refute_0_1135]) ).

cnf(refute_0_1137,plain,
    inverse(add(X_131,X_133)) = inverse(add(X_133,X_131)),
    inference(resolve,[$cnf( $equal(inverse(add(X_131,inverse(add(inverse(X_133),inverse(add(add(X_133,X_131),inverse(add(inverse(add(X_133,X_131)),X_132)))))))),inverse(add(X_133,X_131))) )],[refute_0_1083,refute_0_1136]) ).

cnf(refute_0_1138,plain,
    ( inverse(add(X_131,X_133)) != inverse(add(X_133,X_131))
    | inverse(add(X_133,X_131)) = inverse(add(X_131,X_133)) ),
    inference(subst,[],[refute_0_101:[bind(X,$fot(inverse(add(X_131,X_133)))),bind(Y,$fot(inverse(add(X_133,X_131))))]]) ).

cnf(refute_0_1139,plain,
    inverse(add(X_133,X_131)) = inverse(add(X_131,X_133)),
    inference(resolve,[$cnf( $equal(inverse(add(X_131,X_133)),inverse(add(X_133,X_131))) )],[refute_0_1137,refute_0_1138]) ).

cnf(refute_0_1140,plain,
    inverse(add(inverse(a),b)) = inverse(add(b,inverse(a))),
    inference(subst,[],[refute_0_1139:[bind(X_131,$fot(b)),bind(X_133,$fot(inverse(a)))]]) ).

cnf(refute_0_1141,plain,
    add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) = add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))),
    introduced(tautology,[refl,[$fot(add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))))]]) ).

cnf(refute_0_1142,plain,
    ( add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b))))
    | inverse(add(inverse(a),b)) != inverse(add(b,inverse(a)))
    | add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) = add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))),add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b))))) ),[1,0],$fot(inverse(add(b,inverse(a))))]]) ).

cnf(refute_0_1143,plain,
    ( inverse(add(inverse(a),b)) != inverse(add(b,inverse(a)))
    | add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) = add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))),add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b))))) )],[refute_0_1141,refute_0_1142]) ).

cnf(refute_0_1144,plain,
    add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) = add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))),
    inference(resolve,[$cnf( $equal(inverse(add(inverse(a),b)),inverse(add(b,inverse(a)))) )],[refute_0_1140,refute_0_1143]) ).

cnf(refute_0_1145,plain,
    ( add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) != a
    | add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b))))
    | add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) = a ),
    inference(subst,[],[refute_0_103:[bind(X,$fot(add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))))),bind(Y,$fot(add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))))),bind(Z,$fot(a))]]) ).

cnf(refute_0_1146,plain,
    ( add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))) != a
    | add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) = a ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))),add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b))))) )],[refute_0_1144,refute_0_1145]) ).

cnf(refute_0_1147,plain,
    add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) = a,
    inference(resolve,[$cnf( $equal(add(inverse(add(b,inverse(a))),inverse(add(inverse(a),inverse(b)))),a) )],[refute_0_906,refute_0_1146]) ).

cnf(refute_0_1148,plain,
    ( add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a
    | a != a
    | add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) = a ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))),a) ),[0],$fot(a)]]) ).

cnf(refute_0_1149,plain,
    ( a != a
    | add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) = a ),
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))),a) )],[refute_0_1147,refute_0_1148]) ).

cnf(refute_0_1150,plain,
    a != a,
    inference(resolve,[$cnf( $equal(add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))),a) )],[refute_0_1149,huntinton_3]) ).

cnf(refute_0_1151,plain,
    a = a,
    introduced(tautology,[refl,[$fot(a)]]) ).

cnf(refute_0_1152,plain,
    $false,
    inference(resolve,[$cnf( $equal(a,a) )],[refute_0_1151,refute_0_1150]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : BOO074-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.14  % Command  : metis --show proof --show saturation %s
% 0.15/0.36  % Computer : n024.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Wed Jun  1 22:21:06 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.61/2.85  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.61/2.85  
% 2.61/2.85  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.01/3.16  
%------------------------------------------------------------------------------