%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV567-1.014 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n007.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 : Wed Jul 20 20:39:09 EDT 2022

% Result   : Unsatisfiable 8.07s 8.23s
% Output   : CNFRefutation 8.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   87
%            Number of leaves      :  175
% Syntax   : Number of clauses     :  588 ( 250 unt;  59 nHn; 557 RR)
%            Number of literals    : 1041 (1040 equ; 449 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   61 (  61 usr;  58 con; 0-3 aty)
%            Number of variables   :   87 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(a1,axiom,
    select(store(A,I,E),I) = E ).

cnf(a2,axiom,
    ( I = J
    | select(store(A,I,E),J) = select(A,J) ) ).

cnf(as9,axiom,
    s(s(s(s(s(s(s(s(s(X))))))))) != X ).

cnf(as8,axiom,
    s(s(s(s(s(s(s(s(X)))))))) != X ).

cnf(as7,axiom,
    s(s(s(s(s(s(s(X))))))) != X ).

cnf(as6,axiom,
    s(s(s(s(s(s(X)))))) != X ).

cnf(as5,axiom,
    s(s(s(s(s(X))))) != X ).

cnf(as4,axiom,
    s(s(s(s(X)))) != X ).

cnf(as3,axiom,
    s(s(s(X))) != X ).

cnf(as2,axiom,
    s(s(X)) != X ).

cnf(as1,axiom,
    s(X) != X ).

cnf(hyp1,hypothesis,
    earray_15 = store(earray_12,elem_13,elem_14) ).

cnf(hyp2,hypothesis,
    earray_18 = store(earray_15,elem_16,elem_17) ).

cnf(hyp3,hypothesis,
    earray_21 = store(earray_18,elem_19,elem_20) ).

cnf(hyp4,hypothesis,
    earray_24 = store(earray_21,elem_22,elem_23) ).

cnf(hyp5,hypothesis,
    earray_27 = store(earray_24,elem_25,elem_26) ).

cnf(hyp7,hypothesis,
    earray_30 = store(earray_27,elem_28,elem_29) ).

cnf(hyp8,hypothesis,
    earray_33 = store(earray_30,elem_31,elem_32) ).

cnf(hyp9,hypothesis,
    earray_36 = store(earray_33,elem_34,elem_35) ).

cnf(hyp10,hypothesis,
    earray_39 = store(earray_36,elem_37,elem_38) ).

cnf(hyp11,hypothesis,
    earray_42 = store(earray_39,elem_40,elem_41) ).

cnf(hyp21,hypothesis,
    earray_61 = store(earray_59,elem_13,elem_60) ).

cnf(hyp22,hypothesis,
    earray_63 = store(earray_61,elem_10,elem_62) ).

cnf(hyp23,hypothesis,
    earray_65 = store(earray_63,elem_7,elem_64) ).

cnf(hyp24,hypothesis,
    earray_67 = store(earray_65,elem_4,elem_66) ).

cnf(hyp25,hypothesis,
    earray_69 = store(earray_67,elem_0,elem_68) ).

cnf(hyp26,hypothesis,
    earray_71 = store(earray_69,i,elem_70) ).

cnf(hyp28,hypothesis,
    elem_0 = s(i) ).

cnf(hyp30,hypothesis,
    elem_10 = s(elem_7) ).

cnf(hyp32,hypothesis,
    elem_13 = s(elem_10) ).

cnf(hyp34,hypothesis,
    elem_16 = s(elem_13) ).

cnf(hyp35,hypothesis,
    elem_17 = s(elem_14) ).

cnf(hyp36,hypothesis,
    elem_19 = s(elem_16) ).

cnf(hyp38,hypothesis,
    elem_20 = s(elem_17) ).

cnf(hyp39,hypothesis,
    elem_22 = s(elem_19) ).

cnf(hyp40,hypothesis,
    elem_23 = s(elem_20) ).

cnf(hyp41,hypothesis,
    elem_25 = s(elem_22) ).

cnf(hyp42,hypothesis,
    elem_26 = s(elem_23) ).

cnf(hyp43,hypothesis,
    elem_28 = s(elem_25) ).

cnf(hyp44,hypothesis,
    elem_29 = s(elem_26) ).

cnf(hyp45,hypothesis,
    elem_31 = s(elem_28) ).

cnf(hyp46,hypothesis,
    elem_32 = s(elem_29) ).

cnf(hyp47,hypothesis,
    elem_34 = s(elem_31) ).

cnf(hyp48,hypothesis,
    elem_35 = s(elem_32) ).

cnf(hyp49,hypothesis,
    elem_37 = s(elem_34) ).

cnf(hyp50,hypothesis,
    elem_38 = s(elem_35) ).

cnf(hyp51,hypothesis,
    elem_4 = s(elem_0) ).

cnf(hyp52,hypothesis,
    elem_40 = s(elem_37) ).

cnf(hyp53,hypothesis,
    elem_41 = s(elem_38) ).

cnf(hyp55,hypothesis,
    s(elem_44) = elem_43 ).

cnf(hyp56,hypothesis,
    s(elem_46) = elem_44 ).

cnf(hyp57,hypothesis,
    s(elem_48) = elem_46 ).

cnf(hyp59,hypothesis,
    s(elem_50) = elem_48 ).

cnf(hyp60,hypothesis,
    s(elem_52) = elem_50 ).

cnf(hyp61,hypothesis,
    s(elem_54) = elem_52 ).

cnf(hyp62,hypothesis,
    s(elem_56) = elem_54 ).

cnf(hyp63,hypothesis,
    s(elem_58) = elem_56 ).

cnf(hyp64,hypothesis,
    s(elem_60) = elem_58 ).

cnf(hyp69,hypothesis,
    elem_7 = s(elem_4) ).

cnf(hyp72,hypothesis,
    earray_42 = earray_71 ).

cnf(goal,negated_conjecture,
    elem_41 != elem_43 ).

cnf(refute_0_0,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_1,plain,
    ( X0 != X0
    | X0 != Y
    | Y = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).

cnf(refute_0_2,plain,
    ( X0 != Y
    | Y = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( elem_41 != s(elem_38)
    | s(elem_38) = elem_41 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_41)),bind(Y,$fot(s(elem_38)))]]) ).

cnf(refute_0_4,plain,
    s(elem_38) = elem_41,
    inference(resolve,[$cnf( $equal(elem_41,s(elem_38)) )],[hyp53,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( elem_38 != s(elem_35)
    | s(elem_35) = elem_38 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_38)),bind(Y,$fot(s(elem_35)))]]) ).

cnf(refute_0_6,plain,
    s(elem_35) = elem_38,
    inference(resolve,[$cnf( $equal(elem_38,s(elem_35)) )],[hyp50,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( elem_35 != s(elem_32)
    | s(elem_32) = elem_35 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_35)),bind(Y,$fot(s(elem_32)))]]) ).

cnf(refute_0_8,plain,
    s(elem_32) = elem_35,
    inference(resolve,[$cnf( $equal(elem_35,s(elem_32)) )],[hyp48,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( elem_32 != s(elem_29)
    | s(elem_29) = elem_32 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_32)),bind(Y,$fot(s(elem_29)))]]) ).

cnf(refute_0_10,plain,
    s(elem_29) = elem_32,
    inference(resolve,[$cnf( $equal(elem_32,s(elem_29)) )],[hyp46,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( elem_29 != s(elem_26)
    | s(elem_26) = elem_29 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_29)),bind(Y,$fot(s(elem_26)))]]) ).

cnf(refute_0_12,plain,
    s(elem_26) = elem_29,
    inference(resolve,[$cnf( $equal(elem_29,s(elem_26)) )],[hyp44,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( elem_26 != s(elem_23)
    | s(elem_23) = elem_26 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_26)),bind(Y,$fot(s(elem_23)))]]) ).

cnf(refute_0_14,plain,
    s(elem_23) = elem_26,
    inference(resolve,[$cnf( $equal(elem_26,s(elem_23)) )],[hyp42,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( elem_23 != s(elem_20)
    | s(elem_20) = elem_23 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_23)),bind(Y,$fot(s(elem_20)))]]) ).

cnf(refute_0_16,plain,
    s(elem_20) = elem_23,
    inference(resolve,[$cnf( $equal(elem_23,s(elem_20)) )],[hyp40,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( elem_20 != s(elem_17)
    | s(elem_17) = elem_20 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_20)),bind(Y,$fot(s(elem_17)))]]) ).

cnf(refute_0_18,plain,
    s(elem_17) = elem_20,
    inference(resolve,[$cnf( $equal(elem_20,s(elem_17)) )],[hyp38,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( elem_17 != s(elem_14)
    | s(elem_14) = elem_17 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_17)),bind(Y,$fot(s(elem_14)))]]) ).

cnf(refute_0_20,plain,
    s(elem_14) = elem_17,
    inference(resolve,[$cnf( $equal(elem_17,s(elem_14)) )],[hyp35,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( i = X_72
    | select(store(earray_69,i,elem_70),X_72) = select(earray_69,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_69)),bind(E,$fot(elem_70)),bind(I,$fot(i)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_22,plain,
    ( earray_42 != earray_71
    | earray_71 = earray_42 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_42)),bind(Y,$fot(earray_71))]]) ).

cnf(refute_0_23,plain,
    earray_71 = earray_42,
    inference(resolve,[$cnf( $equal(earray_42,earray_71) )],[hyp72,refute_0_22]) ).

cnf(refute_0_24,plain,
    ( earray_71 != earray_42
    | earray_71 != store(earray_69,i,elem_70)
    | earray_42 = store(earray_69,i,elem_70) ),
    introduced(tautology,[equality,[$cnf( $equal(earray_71,store(earray_69,i,elem_70)) ),[0],$fot(earray_42)]]) ).

cnf(refute_0_25,plain,
    ( earray_71 != store(earray_69,i,elem_70)
    | earray_42 = store(earray_69,i,elem_70) ),
    inference(resolve,[$cnf( $equal(earray_71,earray_42) )],[refute_0_23,refute_0_24]) ).

cnf(refute_0_26,plain,
    earray_42 = store(earray_69,i,elem_70),
    inference(resolve,[$cnf( $equal(earray_71,store(earray_69,i,elem_70)) )],[hyp26,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( earray_42 != store(earray_69,i,elem_70)
    | store(earray_69,i,elem_70) = earray_42 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_42)),bind(Y,$fot(store(earray_69,i,elem_70)))]]) ).

cnf(refute_0_28,plain,
    store(earray_69,i,elem_70) = earray_42,
    inference(resolve,[$cnf( $equal(earray_42,store(earray_69,i,elem_70)) )],[refute_0_26,refute_0_27]) ).

cnf(refute_0_29,plain,
    ( select(store(earray_69,i,elem_70),X_72) != select(earray_69,X_72)
    | store(earray_69,i,elem_70) != earray_42
    | select(earray_42,X_72) = select(earray_69,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_69,i,elem_70),X_72),select(earray_69,X_72)) ),[0,0],$fot(earray_42)]]) ).

cnf(refute_0_30,plain,
    ( select(store(earray_69,i,elem_70),X_72) != select(earray_69,X_72)
    | select(earray_42,X_72) = select(earray_69,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_69,i,elem_70),earray_42) )],[refute_0_28,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( i = X_72
    | select(earray_42,X_72) = select(earray_69,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_69,i,elem_70),X_72),select(earray_69,X_72)) )],[refute_0_21,refute_0_30]) ).

cnf(refute_0_32,plain,
    ( i = elem_13
    | select(earray_42,elem_13) = select(earray_69,elem_13) ),
    inference(subst,[],[refute_0_31:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_33,plain,
    ( elem_0 = X_72
    | select(store(earray_67,elem_0,elem_68),X_72) = select(earray_67,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_67)),bind(E,$fot(elem_68)),bind(I,$fot(elem_0)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_34,plain,
    ( earray_69 != store(earray_67,elem_0,elem_68)
    | store(earray_67,elem_0,elem_68) = earray_69 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_69)),bind(Y,$fot(store(earray_67,elem_0,elem_68)))]]) ).

cnf(refute_0_35,plain,
    store(earray_67,elem_0,elem_68) = earray_69,
    inference(resolve,[$cnf( $equal(earray_69,store(earray_67,elem_0,elem_68)) )],[hyp25,refute_0_34]) ).

cnf(refute_0_36,plain,
    ( select(store(earray_67,elem_0,elem_68),X_72) != select(earray_67,X_72)
    | store(earray_67,elem_0,elem_68) != earray_69
    | select(earray_69,X_72) = select(earray_67,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_67,elem_0,elem_68),X_72),select(earray_67,X_72)) ),[0,0],$fot(earray_69)]]) ).

cnf(refute_0_37,plain,
    ( select(store(earray_67,elem_0,elem_68),X_72) != select(earray_67,X_72)
    | select(earray_69,X_72) = select(earray_67,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_67,elem_0,elem_68),earray_69) )],[refute_0_35,refute_0_36]) ).

cnf(refute_0_38,plain,
    ( elem_0 = X_72
    | select(earray_69,X_72) = select(earray_67,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_67,elem_0,elem_68),X_72),select(earray_67,X_72)) )],[refute_0_33,refute_0_37]) ).

cnf(refute_0_39,plain,
    ( elem_0 = elem_13
    | select(earray_69,elem_13) = select(earray_67,elem_13) ),
    inference(subst,[],[refute_0_38:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_40,plain,
    ( I = elem_13
    | select(store(earray_65,I,E),elem_13) = select(earray_65,elem_13) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_65)),bind(J,$fot(elem_13))]]) ).

cnf(refute_0_41,plain,
    ( elem_7 = X_72
    | select(store(earray_63,elem_7,elem_64),X_72) = select(earray_63,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_63)),bind(E,$fot(elem_64)),bind(I,$fot(elem_7)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_42,plain,
    ( earray_65 != store(earray_63,elem_7,elem_64)
    | store(earray_63,elem_7,elem_64) = earray_65 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_65)),bind(Y,$fot(store(earray_63,elem_7,elem_64)))]]) ).

cnf(refute_0_43,plain,
    store(earray_63,elem_7,elem_64) = earray_65,
    inference(resolve,[$cnf( $equal(earray_65,store(earray_63,elem_7,elem_64)) )],[hyp23,refute_0_42]) ).

cnf(refute_0_44,plain,
    ( select(store(earray_63,elem_7,elem_64),X_72) != select(earray_63,X_72)
    | store(earray_63,elem_7,elem_64) != earray_65
    | select(earray_65,X_72) = select(earray_63,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_63,elem_7,elem_64),X_72),select(earray_63,X_72)) ),[0,0],$fot(earray_65)]]) ).

cnf(refute_0_45,plain,
    ( select(store(earray_63,elem_7,elem_64),X_72) != select(earray_63,X_72)
    | select(earray_65,X_72) = select(earray_63,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_63,elem_7,elem_64),earray_65) )],[refute_0_43,refute_0_44]) ).

cnf(refute_0_46,plain,
    ( elem_7 = X_72
    | select(earray_65,X_72) = select(earray_63,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_63,elem_7,elem_64),X_72),select(earray_63,X_72)) )],[refute_0_41,refute_0_45]) ).

cnf(refute_0_47,plain,
    ( elem_7 = elem_13
    | select(earray_65,elem_13) = select(earray_63,elem_13) ),
    inference(subst,[],[refute_0_46:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_48,plain,
    ( elem_10 = X_72
    | select(store(earray_61,elem_10,elem_62),X_72) = select(earray_61,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_61)),bind(E,$fot(elem_62)),bind(I,$fot(elem_10)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_49,plain,
    ( earray_63 != store(earray_61,elem_10,elem_62)
    | store(earray_61,elem_10,elem_62) = earray_63 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_63)),bind(Y,$fot(store(earray_61,elem_10,elem_62)))]]) ).

cnf(refute_0_50,plain,
    store(earray_61,elem_10,elem_62) = earray_63,
    inference(resolve,[$cnf( $equal(earray_63,store(earray_61,elem_10,elem_62)) )],[hyp22,refute_0_49]) ).

cnf(refute_0_51,plain,
    ( select(store(earray_61,elem_10,elem_62),X_72) != select(earray_61,X_72)
    | store(earray_61,elem_10,elem_62) != earray_63
    | select(earray_63,X_72) = select(earray_61,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_61,elem_10,elem_62),X_72),select(earray_61,X_72)) ),[0,0],$fot(earray_63)]]) ).

cnf(refute_0_52,plain,
    ( select(store(earray_61,elem_10,elem_62),X_72) != select(earray_61,X_72)
    | select(earray_63,X_72) = select(earray_61,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_61,elem_10,elem_62),earray_63) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    ( elem_10 = X_72
    | select(earray_63,X_72) = select(earray_61,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_61,elem_10,elem_62),X_72),select(earray_61,X_72)) )],[refute_0_48,refute_0_52]) ).

cnf(refute_0_54,plain,
    ( elem_10 = elem_13
    | select(earray_63,elem_13) = select(earray_61,elem_13) ),
    inference(subst,[],[refute_0_53:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_55,plain,
    select(store(earray_59,elem_13,elem_60),elem_13) = elem_60,
    inference(subst,[],[a1:[bind(A,$fot(earray_59)),bind(E,$fot(elem_60)),bind(I,$fot(elem_13))]]) ).

cnf(refute_0_56,plain,
    ( earray_61 != store(earray_59,elem_13,elem_60)
    | store(earray_59,elem_13,elem_60) = earray_61 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_61)),bind(Y,$fot(store(earray_59,elem_13,elem_60)))]]) ).

cnf(refute_0_57,plain,
    store(earray_59,elem_13,elem_60) = earray_61,
    inference(resolve,[$cnf( $equal(earray_61,store(earray_59,elem_13,elem_60)) )],[hyp21,refute_0_56]) ).

cnf(refute_0_58,plain,
    ( select(store(earray_59,elem_13,elem_60),elem_13) != elem_60
    | store(earray_59,elem_13,elem_60) != earray_61
    | select(earray_61,elem_13) = elem_60 ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_59,elem_13,elem_60),elem_13),elem_60) ),[0,0],$fot(earray_61)]]) ).

cnf(refute_0_59,plain,
    ( select(store(earray_59,elem_13,elem_60),elem_13) != elem_60
    | select(earray_61,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(store(earray_59,elem_13,elem_60),earray_61) )],[refute_0_57,refute_0_58]) ).

cnf(refute_0_60,plain,
    select(earray_61,elem_13) = elem_60,
    inference(resolve,[$cnf( $equal(select(store(earray_59,elem_13,elem_60),elem_13),elem_60) )],[refute_0_55,refute_0_59]) ).

cnf(refute_0_61,plain,
    ( select(earray_61,elem_13) != elem_60
    | select(earray_63,elem_13) != select(earray_61,elem_13)
    | select(earray_63,elem_13) = elem_60 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_63,elem_13),select(earray_61,elem_13)) ),[1],$fot(elem_60)]]) ).

cnf(refute_0_62,plain,
    ( select(earray_63,elem_13) != select(earray_61,elem_13)
    | select(earray_63,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_61,elem_13),elem_60) )],[refute_0_60,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( elem_10 = elem_13
    | select(earray_63,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_63,elem_13),select(earray_61,elem_13)) )],[refute_0_54,refute_0_62]) ).

cnf(refute_0_64,plain,
    s(elem_10) != elem_10,
    inference(subst,[],[as1:[bind(X,$fot(elem_10))]]) ).

cnf(refute_0_65,plain,
    ( elem_13 != s(elem_10)
    | s(elem_10) = elem_13 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_13)),bind(Y,$fot(s(elem_10)))]]) ).

cnf(refute_0_66,plain,
    s(elem_10) = elem_13,
    inference(resolve,[$cnf( $equal(elem_13,s(elem_10)) )],[hyp32,refute_0_65]) ).

cnf(refute_0_67,plain,
    ( elem_13 != elem_10
    | s(elem_10) != elem_13
    | s(elem_10) = elem_10 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_10),elem_13) ),[1],$fot(elem_10)]]) ).

cnf(refute_0_68,plain,
    ( elem_13 != elem_10
    | s(elem_10) = elem_10 ),
    inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    elem_13 != elem_10,
    inference(resolve,[$cnf( $equal(s(elem_10),elem_10) )],[refute_0_68,refute_0_64]) ).

cnf(refute_0_70,plain,
    ( elem_10 != elem_13
    | elem_13 = elem_10 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_10)),bind(Y,$fot(elem_13))]]) ).

cnf(refute_0_71,plain,
    elem_10 != elem_13,
    inference(resolve,[$cnf( $equal(elem_13,elem_10) )],[refute_0_70,refute_0_69]) ).

cnf(refute_0_72,plain,
    select(earray_63,elem_13) = elem_60,
    inference(resolve,[$cnf( $equal(elem_10,elem_13) )],[refute_0_63,refute_0_71]) ).

cnf(refute_0_73,plain,
    ( select(earray_63,elem_13) != elem_60
    | select(earray_65,elem_13) != select(earray_63,elem_13)
    | select(earray_65,elem_13) = elem_60 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_65,elem_13),select(earray_63,elem_13)) ),[1],$fot(elem_60)]]) ).

cnf(refute_0_74,plain,
    ( select(earray_65,elem_13) != select(earray_63,elem_13)
    | select(earray_65,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_63,elem_13),elem_60) )],[refute_0_72,refute_0_73]) ).

cnf(refute_0_75,plain,
    ( elem_7 = elem_13
    | select(earray_65,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_65,elem_13),select(earray_63,elem_13)) )],[refute_0_47,refute_0_74]) ).

cnf(refute_0_76,plain,
    s(s(elem_7)) != elem_7,
    inference(subst,[],[as2:[bind(X,$fot(elem_7))]]) ).

cnf(refute_0_77,plain,
    ( elem_10 != s(elem_7)
    | s(elem_7) = elem_10 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_10)),bind(Y,$fot(s(elem_7)))]]) ).

cnf(refute_0_78,plain,
    s(elem_7) = elem_10,
    inference(resolve,[$cnf( $equal(elem_10,s(elem_7)) )],[hyp30,refute_0_77]) ).

cnf(refute_0_79,plain,
    ( s(elem_10) != elem_7
    | s(elem_7) != elem_10
    | s(s(elem_7)) = elem_7 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(elem_7)),elem_7) ),[0,0],$fot(elem_10)]]) ).

cnf(refute_0_80,plain,
    ( s(elem_10) != elem_7
    | s(s(elem_7)) = elem_7 ),
    inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_78,refute_0_79]) ).

cnf(refute_0_81,plain,
    s(elem_10) != elem_7,
    inference(resolve,[$cnf( $equal(s(s(elem_7)),elem_7) )],[refute_0_80,refute_0_76]) ).

cnf(refute_0_82,plain,
    ( elem_13 != elem_7
    | s(elem_10) != elem_13
    | s(elem_10) = elem_7 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_10),elem_13) ),[1],$fot(elem_7)]]) ).

cnf(refute_0_83,plain,
    ( elem_13 != elem_7
    | s(elem_10) = elem_7 ),
    inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_66,refute_0_82]) ).

cnf(refute_0_84,plain,
    elem_13 != elem_7,
    inference(resolve,[$cnf( $equal(s(elem_10),elem_7) )],[refute_0_83,refute_0_81]) ).

cnf(refute_0_85,plain,
    ( elem_7 != elem_13
    | elem_13 = elem_7 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_7)),bind(Y,$fot(elem_13))]]) ).

cnf(refute_0_86,plain,
    elem_7 != elem_13,
    inference(resolve,[$cnf( $equal(elem_13,elem_7) )],[refute_0_85,refute_0_84]) ).

cnf(refute_0_87,plain,
    select(earray_65,elem_13) = elem_60,
    inference(resolve,[$cnf( $equal(elem_7,elem_13) )],[refute_0_75,refute_0_86]) ).

cnf(refute_0_88,plain,
    ( select(earray_65,elem_13) != elem_60
    | select(store(earray_65,I,E),elem_13) != select(earray_65,elem_13)
    | select(store(earray_65,I,E),elem_13) = elem_60 ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_65,I,E),elem_13),select(earray_65,elem_13)) ),[1],$fot(elem_60)]]) ).

cnf(refute_0_89,plain,
    ( select(store(earray_65,I,E),elem_13) != select(earray_65,elem_13)
    | select(store(earray_65,I,E),elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_65,elem_13),elem_60) )],[refute_0_87,refute_0_88]) ).

cnf(refute_0_90,plain,
    ( I = elem_13
    | select(store(earray_65,I,E),elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(store(earray_65,I,E),elem_13),select(earray_65,elem_13)) )],[refute_0_40,refute_0_89]) ).

cnf(refute_0_91,plain,
    ( elem_4 = elem_13
    | select(store(earray_65,elem_4,elem_66),elem_13) = elem_60 ),
    inference(subst,[],[refute_0_90:[bind(E,$fot(elem_66)),bind(I,$fot(elem_4))]]) ).

cnf(refute_0_92,plain,
    ( earray_67 != store(earray_65,elem_4,elem_66)
    | store(earray_65,elem_4,elem_66) = earray_67 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_67)),bind(Y,$fot(store(earray_65,elem_4,elem_66)))]]) ).

cnf(refute_0_93,plain,
    store(earray_65,elem_4,elem_66) = earray_67,
    inference(resolve,[$cnf( $equal(earray_67,store(earray_65,elem_4,elem_66)) )],[hyp24,refute_0_92]) ).

cnf(refute_0_94,plain,
    ( select(store(earray_65,elem_4,elem_66),elem_13) != elem_60
    | store(earray_65,elem_4,elem_66) != earray_67
    | select(earray_67,elem_13) = elem_60 ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_65,elem_4,elem_66),elem_13),elem_60) ),[0,0],$fot(earray_67)]]) ).

cnf(refute_0_95,plain,
    ( select(store(earray_65,elem_4,elem_66),elem_13) != elem_60
    | select(earray_67,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(store(earray_65,elem_4,elem_66),earray_67) )],[refute_0_93,refute_0_94]) ).

cnf(refute_0_96,plain,
    ( elem_4 = elem_13
    | select(earray_67,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(store(earray_65,elem_4,elem_66),elem_13),elem_60) )],[refute_0_91,refute_0_95]) ).

cnf(refute_0_97,plain,
    s(s(s(elem_4))) != elem_4,
    inference(subst,[],[as3:[bind(X,$fot(elem_4))]]) ).

cnf(refute_0_98,plain,
    ( elem_7 != s(elem_4)
    | s(elem_4) = elem_7 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_7)),bind(Y,$fot(s(elem_4)))]]) ).

cnf(refute_0_99,plain,
    s(elem_4) = elem_7,
    inference(resolve,[$cnf( $equal(elem_7,s(elem_4)) )],[hyp69,refute_0_98]) ).

cnf(refute_0_100,plain,
    ( s(elem_4) != elem_7
    | s(s(elem_7)) != elem_4
    | s(s(s(elem_4))) = elem_4 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(elem_4))),elem_4) ),[0,0,0],$fot(elem_7)]]) ).

cnf(refute_0_101,plain,
    ( s(s(elem_7)) != elem_4
    | s(s(s(elem_4))) = elem_4 ),
    inference(resolve,[$cnf( $equal(s(elem_4),elem_7) )],[refute_0_99,refute_0_100]) ).

cnf(refute_0_102,plain,
    s(s(elem_7)) != elem_4,
    inference(resolve,[$cnf( $equal(s(s(s(elem_4))),elem_4) )],[refute_0_101,refute_0_97]) ).

cnf(refute_0_103,plain,
    s(s(elem_7)) = s(s(elem_7)),
    introduced(tautology,[refl,[$fot(s(s(elem_7)))]]) ).

cnf(refute_0_104,plain,
    ( s(elem_7) != elem_10
    | s(s(elem_7)) != s(s(elem_7))
    | s(s(elem_7)) = s(elem_10) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(elem_7)),s(s(elem_7))) ),[1,0],$fot(elem_10)]]) ).

cnf(refute_0_105,plain,
    ( s(elem_7) != elem_10
    | s(s(elem_7)) = s(elem_10) ),
    inference(resolve,[$cnf( $equal(s(s(elem_7)),s(s(elem_7))) )],[refute_0_103,refute_0_104]) ).

cnf(refute_0_106,plain,
    s(s(elem_7)) = s(elem_10),
    inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_78,refute_0_105]) ).

cnf(refute_0_107,plain,
    ( Y != X0
    | Y != Z
    | X0 = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X0)]]) ).

cnf(refute_0_108,plain,
    ( X0 != Y
    | Y != Z
    | X0 = Z ),
    inference(resolve,[$cnf( $equal(Y,X0) )],[refute_0_2,refute_0_107]) ).

cnf(refute_0_109,plain,
    ( s(elem_10) != elem_13
    | s(s(elem_7)) != s(elem_10)
    | s(s(elem_7)) = elem_13 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(elem_7)))),bind(Y,$fot(s(elem_10))),bind(Z,$fot(elem_13))]]) ).

cnf(refute_0_110,plain,
    ( s(elem_10) != elem_13
    | s(s(elem_7)) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(s(elem_7)),s(elem_10)) )],[refute_0_106,refute_0_109]) ).

cnf(refute_0_111,plain,
    s(s(elem_7)) = elem_13,
    inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_66,refute_0_110]) ).

cnf(refute_0_112,plain,
    ( elem_13 != elem_4
    | s(s(elem_7)) != elem_13
    | s(s(elem_7)) = elem_4 ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(elem_7)),elem_13) ),[1],$fot(elem_4)]]) ).

cnf(refute_0_113,plain,
    ( elem_13 != elem_4
    | s(s(elem_7)) = elem_4 ),
    inference(resolve,[$cnf( $equal(s(s(elem_7)),elem_13) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    elem_13 != elem_4,
    inference(resolve,[$cnf( $equal(s(s(elem_7)),elem_4) )],[refute_0_113,refute_0_102]) ).

cnf(refute_0_115,plain,
    ( elem_4 != elem_13
    | elem_13 = elem_4 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_4)),bind(Y,$fot(elem_13))]]) ).

cnf(refute_0_116,plain,
    elem_4 != elem_13,
    inference(resolve,[$cnf( $equal(elem_13,elem_4) )],[refute_0_115,refute_0_114]) ).

cnf(refute_0_117,plain,
    select(earray_67,elem_13) = elem_60,
    inference(resolve,[$cnf( $equal(elem_4,elem_13) )],[refute_0_96,refute_0_116]) ).

cnf(refute_0_118,plain,
    ( select(earray_67,elem_13) != elem_60
    | select(earray_69,elem_13) != select(earray_67,elem_13)
    | select(earray_69,elem_13) = elem_60 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_69,elem_13),select(earray_67,elem_13)) ),[1],$fot(elem_60)]]) ).

cnf(refute_0_119,plain,
    ( select(earray_69,elem_13) != select(earray_67,elem_13)
    | select(earray_69,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_67,elem_13),elem_60) )],[refute_0_117,refute_0_118]) ).

cnf(refute_0_120,plain,
    ( elem_0 = elem_13
    | select(earray_69,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_69,elem_13),select(earray_67,elem_13)) )],[refute_0_39,refute_0_119]) ).

cnf(refute_0_121,plain,
    s(s(s(s(elem_0)))) != elem_0,
    inference(subst,[],[as4:[bind(X,$fot(elem_0))]]) ).

cnf(refute_0_122,plain,
    ( elem_4 != s(elem_0)
    | s(elem_0) = elem_4 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_4)),bind(Y,$fot(s(elem_0)))]]) ).

cnf(refute_0_123,plain,
    s(elem_0) = elem_4,
    inference(resolve,[$cnf( $equal(elem_4,s(elem_0)) )],[hyp51,refute_0_122]) ).

cnf(refute_0_124,plain,
    ( s(elem_0) != elem_4
    | s(s(s(elem_4))) != elem_0
    | s(s(s(s(elem_0)))) = elem_0 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(elem_0)))),elem_0) ),[0,0,0,0],$fot(elem_4)]]) ).

cnf(refute_0_125,plain,
    ( s(s(s(elem_4))) != elem_0
    | s(s(s(s(elem_0)))) = elem_0 ),
    inference(resolve,[$cnf( $equal(s(elem_0),elem_4) )],[refute_0_123,refute_0_124]) ).

cnf(refute_0_126,plain,
    s(s(s(elem_4))) != elem_0,
    inference(resolve,[$cnf( $equal(s(s(s(s(elem_0)))),elem_0) )],[refute_0_125,refute_0_121]) ).

cnf(refute_0_127,plain,
    s(s(elem_4)) = s(s(elem_4)),
    introduced(tautology,[refl,[$fot(s(s(elem_4)))]]) ).

cnf(refute_0_128,plain,
    ( s(elem_4) != elem_7
    | s(s(elem_4)) != s(s(elem_4))
    | s(s(elem_4)) = s(elem_7) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(elem_4)),s(s(elem_4))) ),[1,0],$fot(elem_7)]]) ).

cnf(refute_0_129,plain,
    ( s(elem_4) != elem_7
    | s(s(elem_4)) = s(elem_7) ),
    inference(resolve,[$cnf( $equal(s(s(elem_4)),s(s(elem_4))) )],[refute_0_127,refute_0_128]) ).

cnf(refute_0_130,plain,
    s(s(elem_4)) = s(elem_7),
    inference(resolve,[$cnf( $equal(s(elem_4),elem_7) )],[refute_0_99,refute_0_129]) ).

cnf(refute_0_131,plain,
    ( s(elem_7) != elem_10
    | s(s(elem_4)) != s(elem_7)
    | s(s(elem_4)) = elem_10 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(elem_4)))),bind(Y,$fot(s(elem_7))),bind(Z,$fot(elem_10))]]) ).

cnf(refute_0_132,plain,
    ( s(elem_7) != elem_10
    | s(s(elem_4)) = elem_10 ),
    inference(resolve,[$cnf( $equal(s(s(elem_4)),s(elem_7)) )],[refute_0_130,refute_0_131]) ).

cnf(refute_0_133,plain,
    s(s(elem_4)) = elem_10,
    inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_78,refute_0_132]) ).

cnf(refute_0_134,plain,
    s(s(s(elem_4))) = s(s(s(elem_4))),
    introduced(tautology,[refl,[$fot(s(s(s(elem_4))))]]) ).

cnf(refute_0_135,plain,
    ( s(s(elem_4)) != elem_10
    | s(s(s(elem_4))) != s(s(s(elem_4)))
    | s(s(s(elem_4))) = s(elem_10) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_4))),s(s(s(elem_4)))) ),[1,0],$fot(elem_10)]]) ).

cnf(refute_0_136,plain,
    ( s(s(elem_4)) != elem_10
    | s(s(s(elem_4))) = s(elem_10) ),
    inference(resolve,[$cnf( $equal(s(s(s(elem_4))),s(s(s(elem_4)))) )],[refute_0_134,refute_0_135]) ).

cnf(refute_0_137,plain,
    s(s(s(elem_4))) = s(elem_10),
    inference(resolve,[$cnf( $equal(s(s(elem_4)),elem_10) )],[refute_0_133,refute_0_136]) ).

cnf(refute_0_138,plain,
    ( s(elem_10) != elem_13
    | s(s(s(elem_4))) != s(elem_10)
    | s(s(s(elem_4))) = elem_13 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(s(elem_4))))),bind(Y,$fot(s(elem_10))),bind(Z,$fot(elem_13))]]) ).

cnf(refute_0_139,plain,
    ( s(elem_10) != elem_13
    | s(s(s(elem_4))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(s(s(elem_4))),s(elem_10)) )],[refute_0_137,refute_0_138]) ).

cnf(refute_0_140,plain,
    s(s(s(elem_4))) = elem_13,
    inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_66,refute_0_139]) ).

cnf(refute_0_141,plain,
    ( elem_13 != elem_0
    | s(s(s(elem_4))) != elem_13
    | s(s(s(elem_4))) = elem_0 ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_4))),elem_13) ),[1],$fot(elem_0)]]) ).

cnf(refute_0_142,plain,
    ( elem_13 != elem_0
    | s(s(s(elem_4))) = elem_0 ),
    inference(resolve,[$cnf( $equal(s(s(s(elem_4))),elem_13) )],[refute_0_140,refute_0_141]) ).

cnf(refute_0_143,plain,
    elem_13 != elem_0,
    inference(resolve,[$cnf( $equal(s(s(s(elem_4))),elem_0) )],[refute_0_142,refute_0_126]) ).

cnf(refute_0_144,plain,
    ( elem_0 != elem_13
    | elem_13 = elem_0 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_0)),bind(Y,$fot(elem_13))]]) ).

cnf(refute_0_145,plain,
    elem_0 != elem_13,
    inference(resolve,[$cnf( $equal(elem_13,elem_0) )],[refute_0_144,refute_0_143]) ).

cnf(refute_0_146,plain,
    select(earray_69,elem_13) = elem_60,
    inference(resolve,[$cnf( $equal(elem_0,elem_13) )],[refute_0_120,refute_0_145]) ).

cnf(refute_0_147,plain,
    ( select(earray_42,elem_13) != select(earray_69,elem_13)
    | select(earray_69,elem_13) != elem_60
    | select(earray_42,elem_13) = elem_60 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(select(earray_42,elem_13),elem_60) ),[0],$fot(select(earray_69,elem_13))]]) ).

cnf(refute_0_148,plain,
    ( select(earray_42,elem_13) != select(earray_69,elem_13)
    | select(earray_42,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_69,elem_13),elem_60) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    ( i = elem_13
    | select(earray_42,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_42,elem_13),select(earray_69,elem_13)) )],[refute_0_32,refute_0_148]) ).

cnf(refute_0_150,plain,
    s(s(s(s(s(i))))) != i,
    inference(subst,[],[as5:[bind(X,$fot(i))]]) ).

cnf(refute_0_151,plain,
    ( elem_0 != s(i)
    | s(i) = elem_0 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_0)),bind(Y,$fot(s(i)))]]) ).

cnf(refute_0_152,plain,
    s(i) = elem_0,
    inference(resolve,[$cnf( $equal(elem_0,s(i)) )],[hyp28,refute_0_151]) ).

cnf(refute_0_153,plain,
    ( s(i) != elem_0
    | s(s(s(s(elem_0)))) != i
    | s(s(s(s(s(i))))) = i ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(i))))),i) ),[0,0,0,0,0],$fot(elem_0)]]) ).

cnf(refute_0_154,plain,
    ( s(s(s(s(elem_0)))) != i
    | s(s(s(s(s(i))))) = i ),
    inference(resolve,[$cnf( $equal(s(i),elem_0) )],[refute_0_152,refute_0_153]) ).

cnf(refute_0_155,plain,
    s(s(s(s(elem_0)))) != i,
    inference(resolve,[$cnf( $equal(s(s(s(s(s(i))))),i) )],[refute_0_154,refute_0_150]) ).

cnf(refute_0_156,plain,
    s(s(elem_0)) = s(s(elem_0)),
    introduced(tautology,[refl,[$fot(s(s(elem_0)))]]) ).

cnf(refute_0_157,plain,
    ( s(elem_0) != elem_4
    | s(s(elem_0)) != s(s(elem_0))
    | s(s(elem_0)) = s(elem_4) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(elem_0)),s(s(elem_0))) ),[1,0],$fot(elem_4)]]) ).

cnf(refute_0_158,plain,
    ( s(elem_0) != elem_4
    | s(s(elem_0)) = s(elem_4) ),
    inference(resolve,[$cnf( $equal(s(s(elem_0)),s(s(elem_0))) )],[refute_0_156,refute_0_157]) ).

cnf(refute_0_159,plain,
    s(s(elem_0)) = s(elem_4),
    inference(resolve,[$cnf( $equal(s(elem_0),elem_4) )],[refute_0_123,refute_0_158]) ).

cnf(refute_0_160,plain,
    ( s(elem_4) != elem_7
    | s(s(elem_0)) != s(elem_4)
    | s(s(elem_0)) = elem_7 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(elem_0)))),bind(Y,$fot(s(elem_4))),bind(Z,$fot(elem_7))]]) ).

cnf(refute_0_161,plain,
    ( s(elem_4) != elem_7
    | s(s(elem_0)) = elem_7 ),
    inference(resolve,[$cnf( $equal(s(s(elem_0)),s(elem_4)) )],[refute_0_159,refute_0_160]) ).

cnf(refute_0_162,plain,
    s(s(elem_0)) = elem_7,
    inference(resolve,[$cnf( $equal(s(elem_4),elem_7) )],[refute_0_99,refute_0_161]) ).

cnf(refute_0_163,plain,
    s(s(s(elem_0))) = s(s(s(elem_0))),
    introduced(tautology,[refl,[$fot(s(s(s(elem_0))))]]) ).

cnf(refute_0_164,plain,
    ( s(s(elem_0)) != elem_7
    | s(s(s(elem_0))) != s(s(s(elem_0)))
    | s(s(s(elem_0))) = s(elem_7) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_0))),s(s(s(elem_0)))) ),[1,0],$fot(elem_7)]]) ).

cnf(refute_0_165,plain,
    ( s(s(elem_0)) != elem_7
    | s(s(s(elem_0))) = s(elem_7) ),
    inference(resolve,[$cnf( $equal(s(s(s(elem_0))),s(s(s(elem_0)))) )],[refute_0_163,refute_0_164]) ).

cnf(refute_0_166,plain,
    s(s(s(elem_0))) = s(elem_7),
    inference(resolve,[$cnf( $equal(s(s(elem_0)),elem_7) )],[refute_0_162,refute_0_165]) ).

cnf(refute_0_167,plain,
    ( s(elem_7) != elem_10
    | s(s(s(elem_0))) != s(elem_7)
    | s(s(s(elem_0))) = elem_10 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(s(elem_0))))),bind(Y,$fot(s(elem_7))),bind(Z,$fot(elem_10))]]) ).

cnf(refute_0_168,plain,
    ( s(elem_7) != elem_10
    | s(s(s(elem_0))) = elem_10 ),
    inference(resolve,[$cnf( $equal(s(s(s(elem_0))),s(elem_7)) )],[refute_0_166,refute_0_167]) ).

cnf(refute_0_169,plain,
    s(s(s(elem_0))) = elem_10,
    inference(resolve,[$cnf( $equal(s(elem_7),elem_10) )],[refute_0_78,refute_0_168]) ).

cnf(refute_0_170,plain,
    s(s(s(s(elem_0)))) = s(s(s(s(elem_0)))),
    introduced(tautology,[refl,[$fot(s(s(s(s(elem_0)))))]]) ).

cnf(refute_0_171,plain,
    ( s(s(s(elem_0))) != elem_10
    | s(s(s(s(elem_0)))) != s(s(s(s(elem_0))))
    | s(s(s(s(elem_0)))) = s(elem_10) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_0)))),s(s(s(s(elem_0))))) ),[1,0],$fot(elem_10)]]) ).

cnf(refute_0_172,plain,
    ( s(s(s(elem_0))) != elem_10
    | s(s(s(s(elem_0)))) = s(elem_10) ),
    inference(resolve,[$cnf( $equal(s(s(s(s(elem_0)))),s(s(s(s(elem_0))))) )],[refute_0_170,refute_0_171]) ).

cnf(refute_0_173,plain,
    s(s(s(s(elem_0)))) = s(elem_10),
    inference(resolve,[$cnf( $equal(s(s(s(elem_0))),elem_10) )],[refute_0_169,refute_0_172]) ).

cnf(refute_0_174,plain,
    ( s(elem_10) != elem_13
    | s(s(s(s(elem_0)))) != s(elem_10)
    | s(s(s(s(elem_0)))) = elem_13 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(s(s(elem_0)))))),bind(Y,$fot(s(elem_10))),bind(Z,$fot(elem_13))]]) ).

cnf(refute_0_175,plain,
    ( s(elem_10) != elem_13
    | s(s(s(s(elem_0)))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(s(s(s(elem_0)))),s(elem_10)) )],[refute_0_173,refute_0_174]) ).

cnf(refute_0_176,plain,
    s(s(s(s(elem_0)))) = elem_13,
    inference(resolve,[$cnf( $equal(s(elem_10),elem_13) )],[refute_0_66,refute_0_175]) ).

cnf(refute_0_177,plain,
    ( elem_13 != i
    | s(s(s(s(elem_0)))) != elem_13
    | s(s(s(s(elem_0)))) = i ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_0)))),elem_13) ),[1],$fot(i)]]) ).

cnf(refute_0_178,plain,
    ( elem_13 != i
    | s(s(s(s(elem_0)))) = i ),
    inference(resolve,[$cnf( $equal(s(s(s(s(elem_0)))),elem_13) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    elem_13 != i,
    inference(resolve,[$cnf( $equal(s(s(s(s(elem_0)))),i) )],[refute_0_178,refute_0_155]) ).

cnf(refute_0_180,plain,
    ( i != elem_13
    | elem_13 = i ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(i)),bind(Y,$fot(elem_13))]]) ).

cnf(refute_0_181,plain,
    i != elem_13,
    inference(resolve,[$cnf( $equal(elem_13,i) )],[refute_0_180,refute_0_179]) ).

cnf(refute_0_182,plain,
    select(earray_42,elem_13) = elem_60,
    inference(resolve,[$cnf( $equal(i,elem_13) )],[refute_0_149,refute_0_181]) ).

cnf(refute_0_183,plain,
    ( elem_40 = X_72
    | select(store(earray_39,elem_40,elem_41),X_72) = select(earray_39,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_39)),bind(E,$fot(elem_41)),bind(I,$fot(elem_40)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_184,plain,
    ( earray_42 != store(earray_39,elem_40,elem_41)
    | store(earray_39,elem_40,elem_41) = earray_42 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_42)),bind(Y,$fot(store(earray_39,elem_40,elem_41)))]]) ).

cnf(refute_0_185,plain,
    store(earray_39,elem_40,elem_41) = earray_42,
    inference(resolve,[$cnf( $equal(earray_42,store(earray_39,elem_40,elem_41)) )],[hyp11,refute_0_184]) ).

cnf(refute_0_186,plain,
    ( select(store(earray_39,elem_40,elem_41),X_72) != select(earray_39,X_72)
    | store(earray_39,elem_40,elem_41) != earray_42
    | select(earray_42,X_72) = select(earray_39,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_39,elem_40,elem_41),X_72),select(earray_39,X_72)) ),[0,0],$fot(earray_42)]]) ).

cnf(refute_0_187,plain,
    ( select(store(earray_39,elem_40,elem_41),X_72) != select(earray_39,X_72)
    | select(earray_42,X_72) = select(earray_39,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_39,elem_40,elem_41),earray_42) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    ( elem_40 = X_72
    | select(earray_42,X_72) = select(earray_39,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_39,elem_40,elem_41),X_72),select(earray_39,X_72)) )],[refute_0_183,refute_0_187]) ).

cnf(refute_0_189,plain,
    ( elem_40 = elem_13
    | select(earray_42,elem_13) = select(earray_39,elem_13) ),
    inference(subst,[],[refute_0_188:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_190,plain,
    ( select(earray_42,elem_13) != elem_60
    | select(earray_42,elem_13) != select(earray_39,elem_13)
    | select(earray_39,elem_13) = elem_60 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_42,elem_13),elem_60) ),[0],$fot(select(earray_39,elem_13))]]) ).

cnf(refute_0_191,plain,
    ( select(earray_42,elem_13) != elem_60
    | elem_40 = elem_13
    | select(earray_39,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_42,elem_13),select(earray_39,elem_13)) )],[refute_0_189,refute_0_190]) ).

cnf(refute_0_192,plain,
    ( elem_40 = elem_13
    | select(earray_39,elem_13) = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_42,elem_13),elem_60) )],[refute_0_182,refute_0_191]) ).

cnf(refute_0_193,plain,
    ( elem_37 = X_72
    | select(store(earray_36,elem_37,elem_38),X_72) = select(earray_36,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_36)),bind(E,$fot(elem_38)),bind(I,$fot(elem_37)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_194,plain,
    ( earray_39 != store(earray_36,elem_37,elem_38)
    | store(earray_36,elem_37,elem_38) = earray_39 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_39)),bind(Y,$fot(store(earray_36,elem_37,elem_38)))]]) ).

cnf(refute_0_195,plain,
    store(earray_36,elem_37,elem_38) = earray_39,
    inference(resolve,[$cnf( $equal(earray_39,store(earray_36,elem_37,elem_38)) )],[hyp10,refute_0_194]) ).

cnf(refute_0_196,plain,
    ( select(store(earray_36,elem_37,elem_38),X_72) != select(earray_36,X_72)
    | store(earray_36,elem_37,elem_38) != earray_39
    | select(earray_39,X_72) = select(earray_36,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_36,elem_37,elem_38),X_72),select(earray_36,X_72)) ),[0,0],$fot(earray_39)]]) ).

cnf(refute_0_197,plain,
    ( select(store(earray_36,elem_37,elem_38),X_72) != select(earray_36,X_72)
    | select(earray_39,X_72) = select(earray_36,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_36,elem_37,elem_38),earray_39) )],[refute_0_195,refute_0_196]) ).

cnf(refute_0_198,plain,
    ( elem_37 = X_72
    | select(earray_39,X_72) = select(earray_36,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_36,elem_37,elem_38),X_72),select(earray_36,X_72)) )],[refute_0_193,refute_0_197]) ).

cnf(refute_0_199,plain,
    ( elem_37 = elem_13
    | select(earray_39,elem_13) = select(earray_36,elem_13) ),
    inference(subst,[],[refute_0_198:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_200,plain,
    ( elem_34 = X_72
    | select(store(earray_33,elem_34,elem_35),X_72) = select(earray_33,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_33)),bind(E,$fot(elem_35)),bind(I,$fot(elem_34)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_201,plain,
    ( earray_36 != store(earray_33,elem_34,elem_35)
    | store(earray_33,elem_34,elem_35) = earray_36 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_36)),bind(Y,$fot(store(earray_33,elem_34,elem_35)))]]) ).

cnf(refute_0_202,plain,
    store(earray_33,elem_34,elem_35) = earray_36,
    inference(resolve,[$cnf( $equal(earray_36,store(earray_33,elem_34,elem_35)) )],[hyp9,refute_0_201]) ).

cnf(refute_0_203,plain,
    ( select(store(earray_33,elem_34,elem_35),X_72) != select(earray_33,X_72)
    | store(earray_33,elem_34,elem_35) != earray_36
    | select(earray_36,X_72) = select(earray_33,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_33,elem_34,elem_35),X_72),select(earray_33,X_72)) ),[0,0],$fot(earray_36)]]) ).

cnf(refute_0_204,plain,
    ( select(store(earray_33,elem_34,elem_35),X_72) != select(earray_33,X_72)
    | select(earray_36,X_72) = select(earray_33,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_33,elem_34,elem_35),earray_36) )],[refute_0_202,refute_0_203]) ).

cnf(refute_0_205,plain,
    ( elem_34 = X_72
    | select(earray_36,X_72) = select(earray_33,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_33,elem_34,elem_35),X_72),select(earray_33,X_72)) )],[refute_0_200,refute_0_204]) ).

cnf(refute_0_206,plain,
    ( elem_34 = elem_13
    | select(earray_36,elem_13) = select(earray_33,elem_13) ),
    inference(subst,[],[refute_0_205:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_207,plain,
    ( elem_31 = X_72
    | select(store(earray_30,elem_31,elem_32),X_72) = select(earray_30,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_30)),bind(E,$fot(elem_32)),bind(I,$fot(elem_31)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_208,plain,
    ( earray_33 != store(earray_30,elem_31,elem_32)
    | store(earray_30,elem_31,elem_32) = earray_33 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_33)),bind(Y,$fot(store(earray_30,elem_31,elem_32)))]]) ).

cnf(refute_0_209,plain,
    store(earray_30,elem_31,elem_32) = earray_33,
    inference(resolve,[$cnf( $equal(earray_33,store(earray_30,elem_31,elem_32)) )],[hyp8,refute_0_208]) ).

cnf(refute_0_210,plain,
    ( select(store(earray_30,elem_31,elem_32),X_72) != select(earray_30,X_72)
    | store(earray_30,elem_31,elem_32) != earray_33
    | select(earray_33,X_72) = select(earray_30,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_30,elem_31,elem_32),X_72),select(earray_30,X_72)) ),[0,0],$fot(earray_33)]]) ).

cnf(refute_0_211,plain,
    ( select(store(earray_30,elem_31,elem_32),X_72) != select(earray_30,X_72)
    | select(earray_33,X_72) = select(earray_30,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_30,elem_31,elem_32),earray_33) )],[refute_0_209,refute_0_210]) ).

cnf(refute_0_212,plain,
    ( elem_31 = X_72
    | select(earray_33,X_72) = select(earray_30,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_30,elem_31,elem_32),X_72),select(earray_30,X_72)) )],[refute_0_207,refute_0_211]) ).

cnf(refute_0_213,plain,
    ( elem_31 = elem_13
    | select(earray_33,elem_13) = select(earray_30,elem_13) ),
    inference(subst,[],[refute_0_212:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_214,plain,
    ( elem_28 = X_72
    | select(store(earray_27,elem_28,elem_29),X_72) = select(earray_27,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_27)),bind(E,$fot(elem_29)),bind(I,$fot(elem_28)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_215,plain,
    ( earray_30 != store(earray_27,elem_28,elem_29)
    | store(earray_27,elem_28,elem_29) = earray_30 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_30)),bind(Y,$fot(store(earray_27,elem_28,elem_29)))]]) ).

cnf(refute_0_216,plain,
    store(earray_27,elem_28,elem_29) = earray_30,
    inference(resolve,[$cnf( $equal(earray_30,store(earray_27,elem_28,elem_29)) )],[hyp7,refute_0_215]) ).

cnf(refute_0_217,plain,
    ( select(store(earray_27,elem_28,elem_29),X_72) != select(earray_27,X_72)
    | store(earray_27,elem_28,elem_29) != earray_30
    | select(earray_30,X_72) = select(earray_27,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_27,elem_28,elem_29),X_72),select(earray_27,X_72)) ),[0,0],$fot(earray_30)]]) ).

cnf(refute_0_218,plain,
    ( select(store(earray_27,elem_28,elem_29),X_72) != select(earray_27,X_72)
    | select(earray_30,X_72) = select(earray_27,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_27,elem_28,elem_29),earray_30) )],[refute_0_216,refute_0_217]) ).

cnf(refute_0_219,plain,
    ( elem_28 = X_72
    | select(earray_30,X_72) = select(earray_27,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_27,elem_28,elem_29),X_72),select(earray_27,X_72)) )],[refute_0_214,refute_0_218]) ).

cnf(refute_0_220,plain,
    ( elem_28 = elem_13
    | select(earray_30,elem_13) = select(earray_27,elem_13) ),
    inference(subst,[],[refute_0_219:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_221,plain,
    ( elem_25 = X_72
    | select(store(earray_24,elem_25,elem_26),X_72) = select(earray_24,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_24)),bind(E,$fot(elem_26)),bind(I,$fot(elem_25)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_222,plain,
    ( earray_27 != store(earray_24,elem_25,elem_26)
    | store(earray_24,elem_25,elem_26) = earray_27 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_27)),bind(Y,$fot(store(earray_24,elem_25,elem_26)))]]) ).

cnf(refute_0_223,plain,
    store(earray_24,elem_25,elem_26) = earray_27,
    inference(resolve,[$cnf( $equal(earray_27,store(earray_24,elem_25,elem_26)) )],[hyp5,refute_0_222]) ).

cnf(refute_0_224,plain,
    ( select(store(earray_24,elem_25,elem_26),X_72) != select(earray_24,X_72)
    | store(earray_24,elem_25,elem_26) != earray_27
    | select(earray_27,X_72) = select(earray_24,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_24,elem_25,elem_26),X_72),select(earray_24,X_72)) ),[0,0],$fot(earray_27)]]) ).

cnf(refute_0_225,plain,
    ( select(store(earray_24,elem_25,elem_26),X_72) != select(earray_24,X_72)
    | select(earray_27,X_72) = select(earray_24,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_24,elem_25,elem_26),earray_27) )],[refute_0_223,refute_0_224]) ).

cnf(refute_0_226,plain,
    ( elem_25 = X_72
    | select(earray_27,X_72) = select(earray_24,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_24,elem_25,elem_26),X_72),select(earray_24,X_72)) )],[refute_0_221,refute_0_225]) ).

cnf(refute_0_227,plain,
    ( elem_25 = elem_13
    | select(earray_27,elem_13) = select(earray_24,elem_13) ),
    inference(subst,[],[refute_0_226:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_228,plain,
    ( elem_22 = X_72
    | select(store(earray_21,elem_22,elem_23),X_72) = select(earray_21,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_21)),bind(E,$fot(elem_23)),bind(I,$fot(elem_22)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_229,plain,
    ( earray_24 != store(earray_21,elem_22,elem_23)
    | store(earray_21,elem_22,elem_23) = earray_24 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_24)),bind(Y,$fot(store(earray_21,elem_22,elem_23)))]]) ).

cnf(refute_0_230,plain,
    store(earray_21,elem_22,elem_23) = earray_24,
    inference(resolve,[$cnf( $equal(earray_24,store(earray_21,elem_22,elem_23)) )],[hyp4,refute_0_229]) ).

cnf(refute_0_231,plain,
    ( select(store(earray_21,elem_22,elem_23),X_72) != select(earray_21,X_72)
    | store(earray_21,elem_22,elem_23) != earray_24
    | select(earray_24,X_72) = select(earray_21,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_21,elem_22,elem_23),X_72),select(earray_21,X_72)) ),[0,0],$fot(earray_24)]]) ).

cnf(refute_0_232,plain,
    ( select(store(earray_21,elem_22,elem_23),X_72) != select(earray_21,X_72)
    | select(earray_24,X_72) = select(earray_21,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_21,elem_22,elem_23),earray_24) )],[refute_0_230,refute_0_231]) ).

cnf(refute_0_233,plain,
    ( elem_22 = X_72
    | select(earray_24,X_72) = select(earray_21,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_21,elem_22,elem_23),X_72),select(earray_21,X_72)) )],[refute_0_228,refute_0_232]) ).

cnf(refute_0_234,plain,
    ( elem_22 = elem_13
    | select(earray_24,elem_13) = select(earray_21,elem_13) ),
    inference(subst,[],[refute_0_233:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_235,plain,
    ( elem_19 = X_72
    | select(store(earray_18,elem_19,elem_20),X_72) = select(earray_18,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_18)),bind(E,$fot(elem_20)),bind(I,$fot(elem_19)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_236,plain,
    ( earray_21 != store(earray_18,elem_19,elem_20)
    | store(earray_18,elem_19,elem_20) = earray_21 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_21)),bind(Y,$fot(store(earray_18,elem_19,elem_20)))]]) ).

cnf(refute_0_237,plain,
    store(earray_18,elem_19,elem_20) = earray_21,
    inference(resolve,[$cnf( $equal(earray_21,store(earray_18,elem_19,elem_20)) )],[hyp3,refute_0_236]) ).

cnf(refute_0_238,plain,
    ( select(store(earray_18,elem_19,elem_20),X_72) != select(earray_18,X_72)
    | store(earray_18,elem_19,elem_20) != earray_21
    | select(earray_21,X_72) = select(earray_18,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_18,elem_19,elem_20),X_72),select(earray_18,X_72)) ),[0,0],$fot(earray_21)]]) ).

cnf(refute_0_239,plain,
    ( select(store(earray_18,elem_19,elem_20),X_72) != select(earray_18,X_72)
    | select(earray_21,X_72) = select(earray_18,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_18,elem_19,elem_20),earray_21) )],[refute_0_237,refute_0_238]) ).

cnf(refute_0_240,plain,
    ( elem_19 = X_72
    | select(earray_21,X_72) = select(earray_18,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_18,elem_19,elem_20),X_72),select(earray_18,X_72)) )],[refute_0_235,refute_0_239]) ).

cnf(refute_0_241,plain,
    ( elem_19 = elem_13
    | select(earray_21,elem_13) = select(earray_18,elem_13) ),
    inference(subst,[],[refute_0_240:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_242,plain,
    ( elem_16 = X_72
    | select(store(earray_15,elem_16,elem_17),X_72) = select(earray_15,X_72) ),
    inference(subst,[],[a2:[bind(A,$fot(earray_15)),bind(E,$fot(elem_17)),bind(I,$fot(elem_16)),bind(J,$fot(X_72))]]) ).

cnf(refute_0_243,plain,
    ( earray_18 != store(earray_15,elem_16,elem_17)
    | store(earray_15,elem_16,elem_17) = earray_18 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_18)),bind(Y,$fot(store(earray_15,elem_16,elem_17)))]]) ).

cnf(refute_0_244,plain,
    store(earray_15,elem_16,elem_17) = earray_18,
    inference(resolve,[$cnf( $equal(earray_18,store(earray_15,elem_16,elem_17)) )],[hyp2,refute_0_243]) ).

cnf(refute_0_245,plain,
    ( select(store(earray_15,elem_16,elem_17),X_72) != select(earray_15,X_72)
    | store(earray_15,elem_16,elem_17) != earray_18
    | select(earray_18,X_72) = select(earray_15,X_72) ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_15,elem_16,elem_17),X_72),select(earray_15,X_72)) ),[0,0],$fot(earray_18)]]) ).

cnf(refute_0_246,plain,
    ( select(store(earray_15,elem_16,elem_17),X_72) != select(earray_15,X_72)
    | select(earray_18,X_72) = select(earray_15,X_72) ),
    inference(resolve,[$cnf( $equal(store(earray_15,elem_16,elem_17),earray_18) )],[refute_0_244,refute_0_245]) ).

cnf(refute_0_247,plain,
    ( elem_16 = X_72
    | select(earray_18,X_72) = select(earray_15,X_72) ),
    inference(resolve,[$cnf( $equal(select(store(earray_15,elem_16,elem_17),X_72),select(earray_15,X_72)) )],[refute_0_242,refute_0_246]) ).

cnf(refute_0_248,plain,
    ( elem_16 = elem_13
    | select(earray_18,elem_13) = select(earray_15,elem_13) ),
    inference(subst,[],[refute_0_247:[bind(X_72,$fot(elem_13))]]) ).

cnf(refute_0_249,plain,
    select(store(earray_12,elem_13,elem_14),elem_13) = elem_14,
    inference(subst,[],[a1:[bind(A,$fot(earray_12)),bind(E,$fot(elem_14)),bind(I,$fot(elem_13))]]) ).

cnf(refute_0_250,plain,
    ( earray_15 != store(earray_12,elem_13,elem_14)
    | store(earray_12,elem_13,elem_14) = earray_15 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(earray_15)),bind(Y,$fot(store(earray_12,elem_13,elem_14)))]]) ).

cnf(refute_0_251,plain,
    store(earray_12,elem_13,elem_14) = earray_15,
    inference(resolve,[$cnf( $equal(earray_15,store(earray_12,elem_13,elem_14)) )],[hyp1,refute_0_250]) ).

cnf(refute_0_252,plain,
    ( select(store(earray_12,elem_13,elem_14),elem_13) != elem_14
    | store(earray_12,elem_13,elem_14) != earray_15
    | select(earray_15,elem_13) = elem_14 ),
    introduced(tautology,[equality,[$cnf( $equal(select(store(earray_12,elem_13,elem_14),elem_13),elem_14) ),[0,0],$fot(earray_15)]]) ).

cnf(refute_0_253,plain,
    ( select(store(earray_12,elem_13,elem_14),elem_13) != elem_14
    | select(earray_15,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(store(earray_12,elem_13,elem_14),earray_15) )],[refute_0_251,refute_0_252]) ).

cnf(refute_0_254,plain,
    select(earray_15,elem_13) = elem_14,
    inference(resolve,[$cnf( $equal(select(store(earray_12,elem_13,elem_14),elem_13),elem_14) )],[refute_0_249,refute_0_253]) ).

cnf(refute_0_255,plain,
    ( select(earray_15,elem_13) != elem_14
    | select(earray_18,elem_13) != select(earray_15,elem_13)
    | select(earray_18,elem_13) = elem_14 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_18,elem_13),select(earray_15,elem_13)) ),[1],$fot(elem_14)]]) ).

cnf(refute_0_256,plain,
    ( select(earray_18,elem_13) != select(earray_15,elem_13)
    | select(earray_18,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_15,elem_13),elem_14) )],[refute_0_254,refute_0_255]) ).

cnf(refute_0_257,plain,
    ( elem_16 = elem_13
    | select(earray_18,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_18,elem_13),select(earray_15,elem_13)) )],[refute_0_248,refute_0_256]) ).

cnf(refute_0_258,plain,
    s(elem_13) != elem_13,
    inference(subst,[],[as1:[bind(X,$fot(elem_13))]]) ).

cnf(refute_0_259,plain,
    ( elem_16 != s(elem_13)
    | s(elem_13) = elem_16 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_16)),bind(Y,$fot(s(elem_13)))]]) ).

cnf(refute_0_260,plain,
    s(elem_13) = elem_16,
    inference(resolve,[$cnf( $equal(elem_16,s(elem_13)) )],[hyp34,refute_0_259]) ).

cnf(refute_0_261,plain,
    ( elem_16 != elem_13
    | s(elem_13) != elem_16
    | s(elem_13) = elem_13 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_13),elem_16) ),[1],$fot(elem_13)]]) ).

cnf(refute_0_262,plain,
    ( elem_16 != elem_13
    | s(elem_13) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_260,refute_0_261]) ).

cnf(refute_0_263,plain,
    elem_16 != elem_13,
    inference(resolve,[$cnf( $equal(s(elem_13),elem_13) )],[refute_0_262,refute_0_258]) ).

cnf(refute_0_264,plain,
    select(earray_18,elem_13) = elem_14,
    inference(resolve,[$cnf( $equal(elem_16,elem_13) )],[refute_0_257,refute_0_263]) ).

cnf(refute_0_265,plain,
    ( select(earray_18,elem_13) != elem_14
    | select(earray_21,elem_13) != select(earray_18,elem_13)
    | select(earray_21,elem_13) = elem_14 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_21,elem_13),select(earray_18,elem_13)) ),[1],$fot(elem_14)]]) ).

cnf(refute_0_266,plain,
    ( select(earray_21,elem_13) != select(earray_18,elem_13)
    | select(earray_21,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_18,elem_13),elem_14) )],[refute_0_264,refute_0_265]) ).

cnf(refute_0_267,plain,
    ( elem_19 = elem_13
    | select(earray_21,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_21,elem_13),select(earray_18,elem_13)) )],[refute_0_241,refute_0_266]) ).

cnf(refute_0_268,plain,
    s(s(elem_13)) != elem_13,
    inference(subst,[],[as2:[bind(X,$fot(elem_13))]]) ).

cnf(refute_0_269,plain,
    ( s(elem_13) != elem_16
    | s(elem_16) != elem_13
    | s(s(elem_13)) = elem_13 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(elem_13)),elem_13) ),[0,0],$fot(elem_16)]]) ).

cnf(refute_0_270,plain,
    ( s(elem_16) != elem_13
    | s(s(elem_13)) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_260,refute_0_269]) ).

cnf(refute_0_271,plain,
    s(elem_16) != elem_13,
    inference(resolve,[$cnf( $equal(s(s(elem_13)),elem_13) )],[refute_0_270,refute_0_268]) ).

cnf(refute_0_272,plain,
    ( elem_19 != s(elem_16)
    | s(elem_16) = elem_19 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_19)),bind(Y,$fot(s(elem_16)))]]) ).

cnf(refute_0_273,plain,
    s(elem_16) = elem_19,
    inference(resolve,[$cnf( $equal(elem_19,s(elem_16)) )],[hyp36,refute_0_272]) ).

cnf(refute_0_274,plain,
    ( elem_19 != elem_13
    | s(elem_16) != elem_19
    | s(elem_16) = elem_13 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_16),elem_19) ),[1],$fot(elem_13)]]) ).

cnf(refute_0_275,plain,
    ( elem_19 != elem_13
    | s(elem_16) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_273,refute_0_274]) ).

cnf(refute_0_276,plain,
    elem_19 != elem_13,
    inference(resolve,[$cnf( $equal(s(elem_16),elem_13) )],[refute_0_275,refute_0_271]) ).

cnf(refute_0_277,plain,
    select(earray_21,elem_13) = elem_14,
    inference(resolve,[$cnf( $equal(elem_19,elem_13) )],[refute_0_267,refute_0_276]) ).

cnf(refute_0_278,plain,
    ( select(earray_21,elem_13) != elem_14
    | select(earray_24,elem_13) != select(earray_21,elem_13)
    | select(earray_24,elem_13) = elem_14 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_24,elem_13),select(earray_21,elem_13)) ),[1],$fot(elem_14)]]) ).

cnf(refute_0_279,plain,
    ( select(earray_24,elem_13) != select(earray_21,elem_13)
    | select(earray_24,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_21,elem_13),elem_14) )],[refute_0_277,refute_0_278]) ).

cnf(refute_0_280,plain,
    ( elem_22 = elem_13
    | select(earray_24,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_24,elem_13),select(earray_21,elem_13)) )],[refute_0_234,refute_0_279]) ).

cnf(refute_0_281,plain,
    s(s(s(elem_13))) != elem_13,
    inference(subst,[],[as3:[bind(X,$fot(elem_13))]]) ).

cnf(refute_0_282,plain,
    ( s(elem_13) != elem_16
    | s(s(elem_16)) != elem_13
    | s(s(s(elem_13))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(elem_13))),elem_13) ),[0,0,0],$fot(elem_16)]]) ).

cnf(refute_0_283,plain,
    ( s(s(elem_16)) != elem_13
    | s(s(s(elem_13))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_260,refute_0_282]) ).

cnf(refute_0_284,plain,
    s(s(elem_16)) != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(elem_13))),elem_13) )],[refute_0_283,refute_0_281]) ).

cnf(refute_0_285,plain,
    ( elem_22 != s(elem_19)
    | s(elem_19) = elem_22 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_22)),bind(Y,$fot(s(elem_19)))]]) ).

cnf(refute_0_286,plain,
    s(elem_19) = elem_22,
    inference(resolve,[$cnf( $equal(elem_22,s(elem_19)) )],[hyp39,refute_0_285]) ).

cnf(refute_0_287,plain,
    s(s(elem_16)) = s(s(elem_16)),
    introduced(tautology,[refl,[$fot(s(s(elem_16)))]]) ).

cnf(refute_0_288,plain,
    ( s(elem_16) != elem_19
    | s(s(elem_16)) != s(s(elem_16))
    | s(s(elem_16)) = s(elem_19) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(elem_16)),s(s(elem_16))) ),[1,0],$fot(elem_19)]]) ).

cnf(refute_0_289,plain,
    ( s(elem_16) != elem_19
    | s(s(elem_16)) = s(elem_19) ),
    inference(resolve,[$cnf( $equal(s(s(elem_16)),s(s(elem_16))) )],[refute_0_287,refute_0_288]) ).

cnf(refute_0_290,plain,
    s(s(elem_16)) = s(elem_19),
    inference(resolve,[$cnf( $equal(s(elem_16),elem_19) )],[refute_0_273,refute_0_289]) ).

cnf(refute_0_291,plain,
    ( s(elem_19) != elem_22
    | s(s(elem_16)) != s(elem_19)
    | s(s(elem_16)) = elem_22 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(elem_16)))),bind(Y,$fot(s(elem_19))),bind(Z,$fot(elem_22))]]) ).

cnf(refute_0_292,plain,
    ( s(elem_19) != elem_22
    | s(s(elem_16)) = elem_22 ),
    inference(resolve,[$cnf( $equal(s(s(elem_16)),s(elem_19)) )],[refute_0_290,refute_0_291]) ).

cnf(refute_0_293,plain,
    s(s(elem_16)) = elem_22,
    inference(resolve,[$cnf( $equal(s(elem_19),elem_22) )],[refute_0_286,refute_0_292]) ).

cnf(refute_0_294,plain,
    ( elem_22 != elem_13
    | s(s(elem_16)) != elem_22
    | s(s(elem_16)) = elem_13 ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(elem_16)),elem_22) ),[1],$fot(elem_13)]]) ).

cnf(refute_0_295,plain,
    ( elem_22 != elem_13
    | s(s(elem_16)) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(s(elem_16)),elem_22) )],[refute_0_293,refute_0_294]) ).

cnf(refute_0_296,plain,
    elem_22 != elem_13,
    inference(resolve,[$cnf( $equal(s(s(elem_16)),elem_13) )],[refute_0_295,refute_0_284]) ).

cnf(refute_0_297,plain,
    select(earray_24,elem_13) = elem_14,
    inference(resolve,[$cnf( $equal(elem_22,elem_13) )],[refute_0_280,refute_0_296]) ).

cnf(refute_0_298,plain,
    ( select(earray_24,elem_13) != elem_14
    | select(earray_27,elem_13) != select(earray_24,elem_13)
    | select(earray_27,elem_13) = elem_14 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_27,elem_13),select(earray_24,elem_13)) ),[1],$fot(elem_14)]]) ).

cnf(refute_0_299,plain,
    ( select(earray_27,elem_13) != select(earray_24,elem_13)
    | select(earray_27,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_24,elem_13),elem_14) )],[refute_0_297,refute_0_298]) ).

cnf(refute_0_300,plain,
    ( elem_25 = elem_13
    | select(earray_27,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_27,elem_13),select(earray_24,elem_13)) )],[refute_0_227,refute_0_299]) ).

cnf(refute_0_301,plain,
    s(s(s(s(elem_13)))) != elem_13,
    inference(subst,[],[as4:[bind(X,$fot(elem_13))]]) ).

cnf(refute_0_302,plain,
    ( s(elem_13) != elem_16
    | s(s(s(elem_16))) != elem_13
    | s(s(s(s(elem_13)))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(elem_13)))),elem_13) ),[0,0,0,0],$fot(elem_16)]]) ).

cnf(refute_0_303,plain,
    ( s(s(s(elem_16))) != elem_13
    | s(s(s(s(elem_13)))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_260,refute_0_302]) ).

cnf(refute_0_304,plain,
    s(s(s(elem_16))) != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(s(elem_13)))),elem_13) )],[refute_0_303,refute_0_301]) ).

cnf(refute_0_305,plain,
    ( elem_25 != s(elem_22)
    | s(elem_22) = elem_25 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_25)),bind(Y,$fot(s(elem_22)))]]) ).

cnf(refute_0_306,plain,
    s(elem_22) = elem_25,
    inference(resolve,[$cnf( $equal(elem_25,s(elem_22)) )],[hyp41,refute_0_305]) ).

cnf(refute_0_307,plain,
    s(s(s(elem_16))) = s(s(s(elem_16))),
    introduced(tautology,[refl,[$fot(s(s(s(elem_16))))]]) ).

cnf(refute_0_308,plain,
    ( s(s(elem_16)) != elem_22
    | s(s(s(elem_16))) != s(s(s(elem_16)))
    | s(s(s(elem_16))) = s(elem_22) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_16))),s(s(s(elem_16)))) ),[1,0],$fot(elem_22)]]) ).

cnf(refute_0_309,plain,
    ( s(s(elem_16)) != elem_22
    | s(s(s(elem_16))) = s(elem_22) ),
    inference(resolve,[$cnf( $equal(s(s(s(elem_16))),s(s(s(elem_16)))) )],[refute_0_307,refute_0_308]) ).

cnf(refute_0_310,plain,
    s(s(s(elem_16))) = s(elem_22),
    inference(resolve,[$cnf( $equal(s(s(elem_16)),elem_22) )],[refute_0_293,refute_0_309]) ).

cnf(refute_0_311,plain,
    ( s(elem_22) != elem_25
    | s(s(s(elem_16))) != s(elem_22)
    | s(s(s(elem_16))) = elem_25 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(s(elem_16))))),bind(Y,$fot(s(elem_22))),bind(Z,$fot(elem_25))]]) ).

cnf(refute_0_312,plain,
    ( s(elem_22) != elem_25
    | s(s(s(elem_16))) = elem_25 ),
    inference(resolve,[$cnf( $equal(s(s(s(elem_16))),s(elem_22)) )],[refute_0_310,refute_0_311]) ).

cnf(refute_0_313,plain,
    s(s(s(elem_16))) = elem_25,
    inference(resolve,[$cnf( $equal(s(elem_22),elem_25) )],[refute_0_306,refute_0_312]) ).

cnf(refute_0_314,plain,
    ( elem_25 != elem_13
    | s(s(s(elem_16))) != elem_25
    | s(s(s(elem_16))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(elem_16))),elem_25) ),[1],$fot(elem_13)]]) ).

cnf(refute_0_315,plain,
    ( elem_25 != elem_13
    | s(s(s(elem_16))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(s(s(elem_16))),elem_25) )],[refute_0_313,refute_0_314]) ).

cnf(refute_0_316,plain,
    elem_25 != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(elem_16))),elem_13) )],[refute_0_315,refute_0_304]) ).

cnf(refute_0_317,plain,
    select(earray_27,elem_13) = elem_14,
    inference(resolve,[$cnf( $equal(elem_25,elem_13) )],[refute_0_300,refute_0_316]) ).

cnf(refute_0_318,plain,
    ( select(earray_27,elem_13) != elem_14
    | select(earray_30,elem_13) != select(earray_27,elem_13)
    | select(earray_30,elem_13) = elem_14 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_30,elem_13),select(earray_27,elem_13)) ),[1],$fot(elem_14)]]) ).

cnf(refute_0_319,plain,
    ( select(earray_30,elem_13) != select(earray_27,elem_13)
    | select(earray_30,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_27,elem_13),elem_14) )],[refute_0_317,refute_0_318]) ).

cnf(refute_0_320,plain,
    ( elem_28 = elem_13
    | select(earray_30,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_30,elem_13),select(earray_27,elem_13)) )],[refute_0_220,refute_0_319]) ).

cnf(refute_0_321,plain,
    s(s(s(s(s(elem_13))))) != elem_13,
    inference(subst,[],[as5:[bind(X,$fot(elem_13))]]) ).

cnf(refute_0_322,plain,
    ( s(elem_13) != elem_16
    | s(s(s(s(elem_16)))) != elem_13
    | s(s(s(s(s(elem_13))))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(elem_13))))),elem_13) ),[0,0,0,0,0],$fot(elem_16)]]) ).

cnf(refute_0_323,plain,
    ( s(s(s(s(elem_16)))) != elem_13
    | s(s(s(s(s(elem_13))))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_260,refute_0_322]) ).

cnf(refute_0_324,plain,
    s(s(s(s(elem_16)))) != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_13))))),elem_13) )],[refute_0_323,refute_0_321]) ).

cnf(refute_0_325,plain,
    ( elem_28 != s(elem_25)
    | s(elem_25) = elem_28 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_28)),bind(Y,$fot(s(elem_25)))]]) ).

cnf(refute_0_326,plain,
    s(elem_25) = elem_28,
    inference(resolve,[$cnf( $equal(elem_28,s(elem_25)) )],[hyp43,refute_0_325]) ).

cnf(refute_0_327,plain,
    s(s(s(s(elem_16)))) = s(s(s(s(elem_16)))),
    introduced(tautology,[refl,[$fot(s(s(s(s(elem_16)))))]]) ).

cnf(refute_0_328,plain,
    ( s(s(s(elem_16))) != elem_25
    | s(s(s(s(elem_16)))) != s(s(s(s(elem_16))))
    | s(s(s(s(elem_16)))) = s(elem_25) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_16)))),s(s(s(s(elem_16))))) ),[1,0],$fot(elem_25)]]) ).

cnf(refute_0_329,plain,
    ( s(s(s(elem_16))) != elem_25
    | s(s(s(s(elem_16)))) = s(elem_25) ),
    inference(resolve,[$cnf( $equal(s(s(s(s(elem_16)))),s(s(s(s(elem_16))))) )],[refute_0_327,refute_0_328]) ).

cnf(refute_0_330,plain,
    s(s(s(s(elem_16)))) = s(elem_25),
    inference(resolve,[$cnf( $equal(s(s(s(elem_16))),elem_25) )],[refute_0_313,refute_0_329]) ).

cnf(refute_0_331,plain,
    ( s(elem_25) != elem_28
    | s(s(s(s(elem_16)))) != s(elem_25)
    | s(s(s(s(elem_16)))) = elem_28 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(s(s(elem_16)))))),bind(Y,$fot(s(elem_25))),bind(Z,$fot(elem_28))]]) ).

cnf(refute_0_332,plain,
    ( s(elem_25) != elem_28
    | s(s(s(s(elem_16)))) = elem_28 ),
    inference(resolve,[$cnf( $equal(s(s(s(s(elem_16)))),s(elem_25)) )],[refute_0_330,refute_0_331]) ).

cnf(refute_0_333,plain,
    s(s(s(s(elem_16)))) = elem_28,
    inference(resolve,[$cnf( $equal(s(elem_25),elem_28) )],[refute_0_326,refute_0_332]) ).

cnf(refute_0_334,plain,
    ( elem_28 != elem_13
    | s(s(s(s(elem_16)))) != elem_28
    | s(s(s(s(elem_16)))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(elem_16)))),elem_28) ),[1],$fot(elem_13)]]) ).

cnf(refute_0_335,plain,
    ( elem_28 != elem_13
    | s(s(s(s(elem_16)))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(s(s(s(elem_16)))),elem_28) )],[refute_0_333,refute_0_334]) ).

cnf(refute_0_336,plain,
    elem_28 != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(s(elem_16)))),elem_13) )],[refute_0_335,refute_0_324]) ).

cnf(refute_0_337,plain,
    select(earray_30,elem_13) = elem_14,
    inference(resolve,[$cnf( $equal(elem_28,elem_13) )],[refute_0_320,refute_0_336]) ).

cnf(refute_0_338,plain,
    ( select(earray_30,elem_13) != elem_14
    | select(earray_33,elem_13) != select(earray_30,elem_13)
    | select(earray_33,elem_13) = elem_14 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_33,elem_13),select(earray_30,elem_13)) ),[1],$fot(elem_14)]]) ).

cnf(refute_0_339,plain,
    ( select(earray_33,elem_13) != select(earray_30,elem_13)
    | select(earray_33,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_30,elem_13),elem_14) )],[refute_0_337,refute_0_338]) ).

cnf(refute_0_340,plain,
    ( elem_31 = elem_13
    | select(earray_33,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_33,elem_13),select(earray_30,elem_13)) )],[refute_0_213,refute_0_339]) ).

cnf(refute_0_341,plain,
    s(s(s(s(s(s(elem_13)))))) != elem_13,
    inference(subst,[],[as6:[bind(X,$fot(elem_13))]]) ).

cnf(refute_0_342,plain,
    ( s(elem_13) != elem_16
    | s(s(s(s(s(elem_16))))) != elem_13
    | s(s(s(s(s(s(elem_13)))))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(elem_13)))))),elem_13) ),[0,0,0,0,0,0],$fot(elem_16)]]) ).

cnf(refute_0_343,plain,
    ( s(s(s(s(s(elem_16))))) != elem_13
    | s(s(s(s(s(s(elem_13)))))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_260,refute_0_342]) ).

cnf(refute_0_344,plain,
    s(s(s(s(s(elem_16))))) != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_13)))))),elem_13) )],[refute_0_343,refute_0_341]) ).

cnf(refute_0_345,plain,
    ( elem_31 != s(elem_28)
    | s(elem_28) = elem_31 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_31)),bind(Y,$fot(s(elem_28)))]]) ).

cnf(refute_0_346,plain,
    s(elem_28) = elem_31,
    inference(resolve,[$cnf( $equal(elem_31,s(elem_28)) )],[hyp45,refute_0_345]) ).

cnf(refute_0_347,plain,
    s(s(s(s(s(elem_16))))) = s(s(s(s(s(elem_16))))),
    introduced(tautology,[refl,[$fot(s(s(s(s(s(elem_16))))))]]) ).

cnf(refute_0_348,plain,
    ( s(s(s(s(elem_16)))) != elem_28
    | s(s(s(s(s(elem_16))))) != s(s(s(s(s(elem_16)))))
    | s(s(s(s(s(elem_16))))) = s(elem_28) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_16))))),s(s(s(s(s(elem_16)))))) ),[1,0],$fot(elem_28)]]) ).

cnf(refute_0_349,plain,
    ( s(s(s(s(elem_16)))) != elem_28
    | s(s(s(s(s(elem_16))))) = s(elem_28) ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_16))))),s(s(s(s(s(elem_16)))))) )],[refute_0_347,refute_0_348]) ).

cnf(refute_0_350,plain,
    s(s(s(s(s(elem_16))))) = s(elem_28),
    inference(resolve,[$cnf( $equal(s(s(s(s(elem_16)))),elem_28) )],[refute_0_333,refute_0_349]) ).

cnf(refute_0_351,plain,
    ( s(elem_28) != elem_31
    | s(s(s(s(s(elem_16))))) != s(elem_28)
    | s(s(s(s(s(elem_16))))) = elem_31 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(s(s(s(elem_16))))))),bind(Y,$fot(s(elem_28))),bind(Z,$fot(elem_31))]]) ).

cnf(refute_0_352,plain,
    ( s(elem_28) != elem_31
    | s(s(s(s(s(elem_16))))) = elem_31 ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_16))))),s(elem_28)) )],[refute_0_350,refute_0_351]) ).

cnf(refute_0_353,plain,
    s(s(s(s(s(elem_16))))) = elem_31,
    inference(resolve,[$cnf( $equal(s(elem_28),elem_31) )],[refute_0_346,refute_0_352]) ).

cnf(refute_0_354,plain,
    ( elem_31 != elem_13
    | s(s(s(s(s(elem_16))))) != elem_31
    | s(s(s(s(s(elem_16))))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(elem_16))))),elem_31) ),[1],$fot(elem_13)]]) ).

cnf(refute_0_355,plain,
    ( elem_31 != elem_13
    | s(s(s(s(s(elem_16))))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_16))))),elem_31) )],[refute_0_353,refute_0_354]) ).

cnf(refute_0_356,plain,
    elem_31 != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_16))))),elem_13) )],[refute_0_355,refute_0_344]) ).

cnf(refute_0_357,plain,
    select(earray_33,elem_13) = elem_14,
    inference(resolve,[$cnf( $equal(elem_31,elem_13) )],[refute_0_340,refute_0_356]) ).

cnf(refute_0_358,plain,
    ( select(earray_33,elem_13) != elem_14
    | select(earray_36,elem_13) != select(earray_33,elem_13)
    | select(earray_36,elem_13) = elem_14 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_36,elem_13),select(earray_33,elem_13)) ),[1],$fot(elem_14)]]) ).

cnf(refute_0_359,plain,
    ( select(earray_36,elem_13) != select(earray_33,elem_13)
    | select(earray_36,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_33,elem_13),elem_14) )],[refute_0_357,refute_0_358]) ).

cnf(refute_0_360,plain,
    ( elem_34 = elem_13
    | select(earray_36,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_36,elem_13),select(earray_33,elem_13)) )],[refute_0_206,refute_0_359]) ).

cnf(refute_0_361,plain,
    s(s(s(s(s(s(s(elem_13))))))) != elem_13,
    inference(subst,[],[as7:[bind(X,$fot(elem_13))]]) ).

cnf(refute_0_362,plain,
    ( s(elem_13) != elem_16
    | s(s(s(s(s(s(elem_16)))))) != elem_13
    | s(s(s(s(s(s(s(elem_13))))))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(s(elem_13))))))),elem_13) ),[0,0,0,0,0,0,0],$fot(elem_16)]]) ).

cnf(refute_0_363,plain,
    ( s(s(s(s(s(s(elem_16)))))) != elem_13
    | s(s(s(s(s(s(s(elem_13))))))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_260,refute_0_362]) ).

cnf(refute_0_364,plain,
    s(s(s(s(s(s(elem_16)))))) != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_13))))))),elem_13) )],[refute_0_363,refute_0_361]) ).

cnf(refute_0_365,plain,
    ( elem_34 != s(elem_31)
    | s(elem_31) = elem_34 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_34)),bind(Y,$fot(s(elem_31)))]]) ).

cnf(refute_0_366,plain,
    s(elem_31) = elem_34,
    inference(resolve,[$cnf( $equal(elem_34,s(elem_31)) )],[hyp47,refute_0_365]) ).

cnf(refute_0_367,plain,
    s(s(s(s(s(s(elem_16)))))) = s(s(s(s(s(s(elem_16)))))),
    introduced(tautology,[refl,[$fot(s(s(s(s(s(s(elem_16)))))))]]) ).

cnf(refute_0_368,plain,
    ( s(s(s(s(s(elem_16))))) != elem_31
    | s(s(s(s(s(s(elem_16)))))) != s(s(s(s(s(s(elem_16))))))
    | s(s(s(s(s(s(elem_16)))))) = s(elem_31) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(elem_16)))))),s(s(s(s(s(s(elem_16))))))) ),[1,0],$fot(elem_31)]]) ).

cnf(refute_0_369,plain,
    ( s(s(s(s(s(elem_16))))) != elem_31
    | s(s(s(s(s(s(elem_16)))))) = s(elem_31) ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_16)))))),s(s(s(s(s(s(elem_16))))))) )],[refute_0_367,refute_0_368]) ).

cnf(refute_0_370,plain,
    s(s(s(s(s(s(elem_16)))))) = s(elem_31),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(elem_16))))),elem_31) )],[refute_0_353,refute_0_369]) ).

cnf(refute_0_371,plain,
    ( s(elem_31) != elem_34
    | s(s(s(s(s(s(elem_16)))))) != s(elem_31)
    | s(s(s(s(s(s(elem_16)))))) = elem_34 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(s(s(s(s(elem_16)))))))),bind(Y,$fot(s(elem_31))),bind(Z,$fot(elem_34))]]) ).

cnf(refute_0_372,plain,
    ( s(elem_31) != elem_34
    | s(s(s(s(s(s(elem_16)))))) = elem_34 ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_16)))))),s(elem_31)) )],[refute_0_370,refute_0_371]) ).

cnf(refute_0_373,plain,
    s(s(s(s(s(s(elem_16)))))) = elem_34,
    inference(resolve,[$cnf( $equal(s(elem_31),elem_34) )],[refute_0_366,refute_0_372]) ).

cnf(refute_0_374,plain,
    ( elem_34 != elem_13
    | s(s(s(s(s(s(elem_16)))))) != elem_34
    | s(s(s(s(s(s(elem_16)))))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(elem_16)))))),elem_34) ),[1],$fot(elem_13)]]) ).

cnf(refute_0_375,plain,
    ( elem_34 != elem_13
    | s(s(s(s(s(s(elem_16)))))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_16)))))),elem_34) )],[refute_0_373,refute_0_374]) ).

cnf(refute_0_376,plain,
    elem_34 != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_16)))))),elem_13) )],[refute_0_375,refute_0_364]) ).

cnf(refute_0_377,plain,
    select(earray_36,elem_13) = elem_14,
    inference(resolve,[$cnf( $equal(elem_34,elem_13) )],[refute_0_360,refute_0_376]) ).

cnf(refute_0_378,plain,
    ( select(earray_36,elem_13) != elem_14
    | select(earray_39,elem_13) != select(earray_36,elem_13)
    | select(earray_39,elem_13) = elem_14 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_39,elem_13),select(earray_36,elem_13)) ),[1],$fot(elem_14)]]) ).

cnf(refute_0_379,plain,
    ( select(earray_39,elem_13) != select(earray_36,elem_13)
    | select(earray_39,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_36,elem_13),elem_14) )],[refute_0_377,refute_0_378]) ).

cnf(refute_0_380,plain,
    ( elem_37 = elem_13
    | select(earray_39,elem_13) = elem_14 ),
    inference(resolve,[$cnf( $equal(select(earray_39,elem_13),select(earray_36,elem_13)) )],[refute_0_199,refute_0_379]) ).

cnf(refute_0_381,plain,
    s(s(s(s(s(s(s(s(elem_13)))))))) != elem_13,
    inference(subst,[],[as8:[bind(X,$fot(elem_13))]]) ).

cnf(refute_0_382,plain,
    ( s(elem_13) != elem_16
    | s(s(s(s(s(s(s(elem_16))))))) != elem_13
    | s(s(s(s(s(s(s(s(elem_13)))))))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(s(s(elem_13)))))))),elem_13) ),[0,0,0,0,0,0,0,0],$fot(elem_16)]]) ).

cnf(refute_0_383,plain,
    ( s(s(s(s(s(s(s(elem_16))))))) != elem_13
    | s(s(s(s(s(s(s(s(elem_13)))))))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_260,refute_0_382]) ).

cnf(refute_0_384,plain,
    s(s(s(s(s(s(s(elem_16))))))) != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_13)))))))),elem_13) )],[refute_0_383,refute_0_381]) ).

cnf(refute_0_385,plain,
    ( elem_37 != s(elem_34)
    | s(elem_34) = elem_37 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_37)),bind(Y,$fot(s(elem_34)))]]) ).

cnf(refute_0_386,plain,
    s(elem_34) = elem_37,
    inference(resolve,[$cnf( $equal(elem_37,s(elem_34)) )],[hyp49,refute_0_385]) ).

cnf(refute_0_387,plain,
    s(s(s(s(s(s(s(elem_16))))))) = s(s(s(s(s(s(s(elem_16))))))),
    introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(elem_16))))))))]]) ).

cnf(refute_0_388,plain,
    ( s(s(s(s(s(s(elem_16)))))) != elem_34
    | s(s(s(s(s(s(s(elem_16))))))) != s(s(s(s(s(s(s(elem_16)))))))
    | s(s(s(s(s(s(s(elem_16))))))) = s(elem_34) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(elem_16))))))),s(s(s(s(s(s(s(elem_16)))))))) ),[1,0],$fot(elem_34)]]) ).

cnf(refute_0_389,plain,
    ( s(s(s(s(s(s(elem_16)))))) != elem_34
    | s(s(s(s(s(s(s(elem_16))))))) = s(elem_34) ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_16))))))),s(s(s(s(s(s(s(elem_16)))))))) )],[refute_0_387,refute_0_388]) ).

cnf(refute_0_390,plain,
    s(s(s(s(s(s(s(elem_16))))))) = s(elem_34),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(elem_16)))))),elem_34) )],[refute_0_373,refute_0_389]) ).

cnf(refute_0_391,plain,
    ( s(elem_34) != elem_37
    | s(s(s(s(s(s(s(elem_16))))))) != s(elem_34)
    | s(s(s(s(s(s(s(elem_16))))))) = elem_37 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(s(s(s(s(s(elem_16))))))))),bind(Y,$fot(s(elem_34))),bind(Z,$fot(elem_37))]]) ).

cnf(refute_0_392,plain,
    ( s(elem_34) != elem_37
    | s(s(s(s(s(s(s(elem_16))))))) = elem_37 ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_16))))))),s(elem_34)) )],[refute_0_390,refute_0_391]) ).

cnf(refute_0_393,plain,
    s(s(s(s(s(s(s(elem_16))))))) = elem_37,
    inference(resolve,[$cnf( $equal(s(elem_34),elem_37) )],[refute_0_386,refute_0_392]) ).

cnf(refute_0_394,plain,
    ( elem_37 != elem_13
    | s(s(s(s(s(s(s(elem_16))))))) != elem_37
    | s(s(s(s(s(s(s(elem_16))))))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(elem_16))))))),elem_37) ),[1],$fot(elem_13)]]) ).

cnf(refute_0_395,plain,
    ( elem_37 != elem_13
    | s(s(s(s(s(s(s(elem_16))))))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_16))))))),elem_37) )],[refute_0_393,refute_0_394]) ).

cnf(refute_0_396,plain,
    elem_37 != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_16))))))),elem_13) )],[refute_0_395,refute_0_384]) ).

cnf(refute_0_397,plain,
    select(earray_39,elem_13) = elem_14,
    inference(resolve,[$cnf( $equal(elem_37,elem_13) )],[refute_0_380,refute_0_396]) ).

cnf(refute_0_398,plain,
    ( select(earray_39,elem_13) != elem_14
    | select(earray_39,elem_13) != elem_60
    | elem_14 = elem_60 ),
    introduced(tautology,[equality,[$cnf( $equal(select(earray_39,elem_13),elem_60) ),[0],$fot(elem_14)]]) ).

cnf(refute_0_399,plain,
    ( select(earray_39,elem_13) != elem_60
    | elem_14 = elem_60 ),
    inference(resolve,[$cnf( $equal(select(earray_39,elem_13),elem_14) )],[refute_0_397,refute_0_398]) ).

cnf(refute_0_400,plain,
    ( elem_14 = elem_60
    | elem_40 = elem_13 ),
    inference(resolve,[$cnf( $equal(select(earray_39,elem_13),elem_60) )],[refute_0_192,refute_0_399]) ).

cnf(refute_0_401,plain,
    s(s(s(s(s(s(s(s(s(elem_13))))))))) != elem_13,
    inference(subst,[],[as9:[bind(X,$fot(elem_13))]]) ).

cnf(refute_0_402,plain,
    ( s(elem_13) != elem_16
    | s(s(s(s(s(s(s(s(elem_16)))))))) != elem_13
    | s(s(s(s(s(s(s(s(s(elem_13))))))))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(s(s(s(s(s(s(s(s(s(elem_13))))))))),elem_13) ),[0,0,0,0,0,0,0,0,0],$fot(elem_16)]]) ).

cnf(refute_0_403,plain,
    ( s(s(s(s(s(s(s(s(elem_16)))))))) != elem_13
    | s(s(s(s(s(s(s(s(s(elem_13))))))))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(elem_13),elem_16) )],[refute_0_260,refute_0_402]) ).

cnf(refute_0_404,plain,
    s(s(s(s(s(s(s(s(elem_16)))))))) != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(s(elem_13))))))))),elem_13) )],[refute_0_403,refute_0_401]) ).

cnf(refute_0_405,plain,
    ( elem_40 != s(elem_37)
    | s(elem_37) = elem_40 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_40)),bind(Y,$fot(s(elem_37)))]]) ).

cnf(refute_0_406,plain,
    s(elem_37) = elem_40,
    inference(resolve,[$cnf( $equal(elem_40,s(elem_37)) )],[hyp52,refute_0_405]) ).

cnf(refute_0_407,plain,
    s(s(s(s(s(s(s(s(elem_16)))))))) = s(s(s(s(s(s(s(s(elem_16)))))))),
    introduced(tautology,[refl,[$fot(s(s(s(s(s(s(s(s(elem_16)))))))))]]) ).

cnf(refute_0_408,plain,
    ( s(s(s(s(s(s(s(elem_16))))))) != elem_37
    | s(s(s(s(s(s(s(s(elem_16)))))))) != s(s(s(s(s(s(s(s(elem_16))))))))
    | s(s(s(s(s(s(s(s(elem_16)))))))) = s(elem_37) ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_16)))))))),s(s(s(s(s(s(s(s(elem_16))))))))) ),[1,0],$fot(elem_37)]]) ).

cnf(refute_0_409,plain,
    ( s(s(s(s(s(s(s(elem_16))))))) != elem_37
    | s(s(s(s(s(s(s(s(elem_16)))))))) = s(elem_37) ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_16)))))))),s(s(s(s(s(s(s(s(elem_16))))))))) )],[refute_0_407,refute_0_408]) ).

cnf(refute_0_410,plain,
    s(s(s(s(s(s(s(s(elem_16)))))))) = s(elem_37),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(elem_16))))))),elem_37) )],[refute_0_393,refute_0_409]) ).

cnf(refute_0_411,plain,
    ( s(elem_37) != elem_40
    | s(s(s(s(s(s(s(s(elem_16)))))))) != s(elem_37)
    | s(s(s(s(s(s(s(s(elem_16)))))))) = elem_40 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(s(s(s(s(s(s(s(elem_16)))))))))),bind(Y,$fot(s(elem_37))),bind(Z,$fot(elem_40))]]) ).

cnf(refute_0_412,plain,
    ( s(elem_37) != elem_40
    | s(s(s(s(s(s(s(s(elem_16)))))))) = elem_40 ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_16)))))))),s(elem_37)) )],[refute_0_410,refute_0_411]) ).

cnf(refute_0_413,plain,
    s(s(s(s(s(s(s(s(elem_16)))))))) = elem_40,
    inference(resolve,[$cnf( $equal(s(elem_37),elem_40) )],[refute_0_406,refute_0_412]) ).

cnf(refute_0_414,plain,
    ( elem_40 != elem_13
    | s(s(s(s(s(s(s(s(elem_16)))))))) != elem_40
    | s(s(s(s(s(s(s(s(elem_16)))))))) = elem_13 ),
    introduced(tautology,[equality,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_16)))))))),elem_40) ),[1],$fot(elem_13)]]) ).

cnf(refute_0_415,plain,
    ( elem_40 != elem_13
    | s(s(s(s(s(s(s(s(elem_16)))))))) = elem_13 ),
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_16)))))))),elem_40) )],[refute_0_413,refute_0_414]) ).

cnf(refute_0_416,plain,
    elem_40 != elem_13,
    inference(resolve,[$cnf( $equal(s(s(s(s(s(s(s(s(elem_16)))))))),elem_13) )],[refute_0_415,refute_0_404]) ).

cnf(refute_0_417,plain,
    elem_14 = elem_60,
    inference(resolve,[$cnf( $equal(elem_40,elem_13) )],[refute_0_400,refute_0_416]) ).

cnf(refute_0_418,plain,
    ( elem_14 != elem_60
    | elem_60 = elem_14 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_14)),bind(Y,$fot(elem_60))]]) ).

cnf(refute_0_419,plain,
    elem_60 = elem_14,
    inference(resolve,[$cnf( $equal(elem_14,elem_60) )],[refute_0_417,refute_0_418]) ).

cnf(refute_0_420,plain,
    s(elem_60) = s(elem_60),
    introduced(tautology,[refl,[$fot(s(elem_60))]]) ).

cnf(refute_0_421,plain,
    ( elem_60 != elem_14
    | s(elem_60) != s(elem_60)
    | s(elem_60) = s(elem_14) ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_60),s(elem_60)) ),[1,0],$fot(elem_14)]]) ).

cnf(refute_0_422,plain,
    ( elem_60 != elem_14
    | s(elem_60) = s(elem_14) ),
    inference(resolve,[$cnf( $equal(s(elem_60),s(elem_60)) )],[refute_0_420,refute_0_421]) ).

cnf(refute_0_423,plain,
    s(elem_60) = s(elem_14),
    inference(resolve,[$cnf( $equal(elem_60,elem_14) )],[refute_0_419,refute_0_422]) ).

cnf(refute_0_424,plain,
    ( s(elem_14) != elem_17
    | s(elem_60) != s(elem_14)
    | s(elem_60) = elem_17 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(elem_60))),bind(Y,$fot(s(elem_14))),bind(Z,$fot(elem_17))]]) ).

cnf(refute_0_425,plain,
    ( s(elem_14) != elem_17
    | s(elem_60) = elem_17 ),
    inference(resolve,[$cnf( $equal(s(elem_60),s(elem_14)) )],[refute_0_423,refute_0_424]) ).

cnf(refute_0_426,plain,
    s(elem_60) = elem_17,
    inference(resolve,[$cnf( $equal(s(elem_14),elem_17) )],[refute_0_20,refute_0_425]) ).

cnf(refute_0_427,plain,
    ( s(elem_60) != elem_17
    | s(elem_60) != elem_58
    | elem_17 = elem_58 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_60),elem_58) ),[0],$fot(elem_17)]]) ).

cnf(refute_0_428,plain,
    ( s(elem_60) != elem_58
    | elem_17 = elem_58 ),
    inference(resolve,[$cnf( $equal(s(elem_60),elem_17) )],[refute_0_426,refute_0_427]) ).

cnf(refute_0_429,plain,
    elem_17 = elem_58,
    inference(resolve,[$cnf( $equal(s(elem_60),elem_58) )],[hyp64,refute_0_428]) ).

cnf(refute_0_430,plain,
    ( elem_17 != elem_58
    | elem_58 = elem_17 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_17)),bind(Y,$fot(elem_58))]]) ).

cnf(refute_0_431,plain,
    elem_58 = elem_17,
    inference(resolve,[$cnf( $equal(elem_17,elem_58) )],[refute_0_429,refute_0_430]) ).

cnf(refute_0_432,plain,
    s(elem_58) = s(elem_58),
    introduced(tautology,[refl,[$fot(s(elem_58))]]) ).

cnf(refute_0_433,plain,
    ( elem_58 != elem_17
    | s(elem_58) != s(elem_58)
    | s(elem_58) = s(elem_17) ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_58),s(elem_58)) ),[1,0],$fot(elem_17)]]) ).

cnf(refute_0_434,plain,
    ( elem_58 != elem_17
    | s(elem_58) = s(elem_17) ),
    inference(resolve,[$cnf( $equal(s(elem_58),s(elem_58)) )],[refute_0_432,refute_0_433]) ).

cnf(refute_0_435,plain,
    s(elem_58) = s(elem_17),
    inference(resolve,[$cnf( $equal(elem_58,elem_17) )],[refute_0_431,refute_0_434]) ).

cnf(refute_0_436,plain,
    ( s(elem_17) != elem_20
    | s(elem_58) != s(elem_17)
    | s(elem_58) = elem_20 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(elem_58))),bind(Y,$fot(s(elem_17))),bind(Z,$fot(elem_20))]]) ).

cnf(refute_0_437,plain,
    ( s(elem_17) != elem_20
    | s(elem_58) = elem_20 ),
    inference(resolve,[$cnf( $equal(s(elem_58),s(elem_17)) )],[refute_0_435,refute_0_436]) ).

cnf(refute_0_438,plain,
    s(elem_58) = elem_20,
    inference(resolve,[$cnf( $equal(s(elem_17),elem_20) )],[refute_0_18,refute_0_437]) ).

cnf(refute_0_439,plain,
    ( s(elem_58) != elem_20
    | s(elem_58) != elem_56
    | elem_20 = elem_56 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_58),elem_56) ),[0],$fot(elem_20)]]) ).

cnf(refute_0_440,plain,
    ( s(elem_58) != elem_56
    | elem_20 = elem_56 ),
    inference(resolve,[$cnf( $equal(s(elem_58),elem_20) )],[refute_0_438,refute_0_439]) ).

cnf(refute_0_441,plain,
    elem_20 = elem_56,
    inference(resolve,[$cnf( $equal(s(elem_58),elem_56) )],[hyp63,refute_0_440]) ).

cnf(refute_0_442,plain,
    ( elem_20 != elem_56
    | elem_56 = elem_20 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_20)),bind(Y,$fot(elem_56))]]) ).

cnf(refute_0_443,plain,
    elem_56 = elem_20,
    inference(resolve,[$cnf( $equal(elem_20,elem_56) )],[refute_0_441,refute_0_442]) ).

cnf(refute_0_444,plain,
    s(elem_56) = s(elem_56),
    introduced(tautology,[refl,[$fot(s(elem_56))]]) ).

cnf(refute_0_445,plain,
    ( elem_56 != elem_20
    | s(elem_56) != s(elem_56)
    | s(elem_56) = s(elem_20) ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_56),s(elem_56)) ),[1,0],$fot(elem_20)]]) ).

cnf(refute_0_446,plain,
    ( elem_56 != elem_20
    | s(elem_56) = s(elem_20) ),
    inference(resolve,[$cnf( $equal(s(elem_56),s(elem_56)) )],[refute_0_444,refute_0_445]) ).

cnf(refute_0_447,plain,
    s(elem_56) = s(elem_20),
    inference(resolve,[$cnf( $equal(elem_56,elem_20) )],[refute_0_443,refute_0_446]) ).

cnf(refute_0_448,plain,
    ( s(elem_20) != elem_23
    | s(elem_56) != s(elem_20)
    | s(elem_56) = elem_23 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(elem_56))),bind(Y,$fot(s(elem_20))),bind(Z,$fot(elem_23))]]) ).

cnf(refute_0_449,plain,
    ( s(elem_20) != elem_23
    | s(elem_56) = elem_23 ),
    inference(resolve,[$cnf( $equal(s(elem_56),s(elem_20)) )],[refute_0_447,refute_0_448]) ).

cnf(refute_0_450,plain,
    s(elem_56) = elem_23,
    inference(resolve,[$cnf( $equal(s(elem_20),elem_23) )],[refute_0_16,refute_0_449]) ).

cnf(refute_0_451,plain,
    ( s(elem_56) != elem_23
    | s(elem_56) != elem_54
    | elem_23 = elem_54 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_56),elem_54) ),[0],$fot(elem_23)]]) ).

cnf(refute_0_452,plain,
    ( s(elem_56) != elem_54
    | elem_23 = elem_54 ),
    inference(resolve,[$cnf( $equal(s(elem_56),elem_23) )],[refute_0_450,refute_0_451]) ).

cnf(refute_0_453,plain,
    elem_23 = elem_54,
    inference(resolve,[$cnf( $equal(s(elem_56),elem_54) )],[hyp62,refute_0_452]) ).

cnf(refute_0_454,plain,
    ( elem_23 != elem_54
    | elem_54 = elem_23 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_23)),bind(Y,$fot(elem_54))]]) ).

cnf(refute_0_455,plain,
    elem_54 = elem_23,
    inference(resolve,[$cnf( $equal(elem_23,elem_54) )],[refute_0_453,refute_0_454]) ).

cnf(refute_0_456,plain,
    s(elem_54) = s(elem_54),
    introduced(tautology,[refl,[$fot(s(elem_54))]]) ).

cnf(refute_0_457,plain,
    ( elem_54 != elem_23
    | s(elem_54) != s(elem_54)
    | s(elem_54) = s(elem_23) ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_54),s(elem_54)) ),[1,0],$fot(elem_23)]]) ).

cnf(refute_0_458,plain,
    ( elem_54 != elem_23
    | s(elem_54) = s(elem_23) ),
    inference(resolve,[$cnf( $equal(s(elem_54),s(elem_54)) )],[refute_0_456,refute_0_457]) ).

cnf(refute_0_459,plain,
    s(elem_54) = s(elem_23),
    inference(resolve,[$cnf( $equal(elem_54,elem_23) )],[refute_0_455,refute_0_458]) ).

cnf(refute_0_460,plain,
    ( s(elem_23) != elem_26
    | s(elem_54) != s(elem_23)
    | s(elem_54) = elem_26 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(elem_54))),bind(Y,$fot(s(elem_23))),bind(Z,$fot(elem_26))]]) ).

cnf(refute_0_461,plain,
    ( s(elem_23) != elem_26
    | s(elem_54) = elem_26 ),
    inference(resolve,[$cnf( $equal(s(elem_54),s(elem_23)) )],[refute_0_459,refute_0_460]) ).

cnf(refute_0_462,plain,
    s(elem_54) = elem_26,
    inference(resolve,[$cnf( $equal(s(elem_23),elem_26) )],[refute_0_14,refute_0_461]) ).

cnf(refute_0_463,plain,
    ( s(elem_54) != elem_26
    | s(elem_54) != elem_52
    | elem_26 = elem_52 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_54),elem_52) ),[0],$fot(elem_26)]]) ).

cnf(refute_0_464,plain,
    ( s(elem_54) != elem_52
    | elem_26 = elem_52 ),
    inference(resolve,[$cnf( $equal(s(elem_54),elem_26) )],[refute_0_462,refute_0_463]) ).

cnf(refute_0_465,plain,
    elem_26 = elem_52,
    inference(resolve,[$cnf( $equal(s(elem_54),elem_52) )],[hyp61,refute_0_464]) ).

cnf(refute_0_466,plain,
    ( elem_26 != elem_52
    | elem_52 = elem_26 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_26)),bind(Y,$fot(elem_52))]]) ).

cnf(refute_0_467,plain,
    elem_52 = elem_26,
    inference(resolve,[$cnf( $equal(elem_26,elem_52) )],[refute_0_465,refute_0_466]) ).

cnf(refute_0_468,plain,
    s(elem_52) = s(elem_52),
    introduced(tautology,[refl,[$fot(s(elem_52))]]) ).

cnf(refute_0_469,plain,
    ( elem_52 != elem_26
    | s(elem_52) != s(elem_52)
    | s(elem_52) = s(elem_26) ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_52),s(elem_52)) ),[1,0],$fot(elem_26)]]) ).

cnf(refute_0_470,plain,
    ( elem_52 != elem_26
    | s(elem_52) = s(elem_26) ),
    inference(resolve,[$cnf( $equal(s(elem_52),s(elem_52)) )],[refute_0_468,refute_0_469]) ).

cnf(refute_0_471,plain,
    s(elem_52) = s(elem_26),
    inference(resolve,[$cnf( $equal(elem_52,elem_26) )],[refute_0_467,refute_0_470]) ).

cnf(refute_0_472,plain,
    ( s(elem_26) != elem_29
    | s(elem_52) != s(elem_26)
    | s(elem_52) = elem_29 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(elem_52))),bind(Y,$fot(s(elem_26))),bind(Z,$fot(elem_29))]]) ).

cnf(refute_0_473,plain,
    ( s(elem_26) != elem_29
    | s(elem_52) = elem_29 ),
    inference(resolve,[$cnf( $equal(s(elem_52),s(elem_26)) )],[refute_0_471,refute_0_472]) ).

cnf(refute_0_474,plain,
    s(elem_52) = elem_29,
    inference(resolve,[$cnf( $equal(s(elem_26),elem_29) )],[refute_0_12,refute_0_473]) ).

cnf(refute_0_475,plain,
    ( s(elem_52) != elem_29
    | s(elem_52) != elem_50
    | elem_29 = elem_50 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_52),elem_50) ),[0],$fot(elem_29)]]) ).

cnf(refute_0_476,plain,
    ( s(elem_52) != elem_50
    | elem_29 = elem_50 ),
    inference(resolve,[$cnf( $equal(s(elem_52),elem_29) )],[refute_0_474,refute_0_475]) ).

cnf(refute_0_477,plain,
    elem_29 = elem_50,
    inference(resolve,[$cnf( $equal(s(elem_52),elem_50) )],[hyp60,refute_0_476]) ).

cnf(refute_0_478,plain,
    ( elem_29 != elem_50
    | elem_50 = elem_29 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_29)),bind(Y,$fot(elem_50))]]) ).

cnf(refute_0_479,plain,
    elem_50 = elem_29,
    inference(resolve,[$cnf( $equal(elem_29,elem_50) )],[refute_0_477,refute_0_478]) ).

cnf(refute_0_480,plain,
    s(elem_50) = s(elem_50),
    introduced(tautology,[refl,[$fot(s(elem_50))]]) ).

cnf(refute_0_481,plain,
    ( elem_50 != elem_29
    | s(elem_50) != s(elem_50)
    | s(elem_50) = s(elem_29) ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_50),s(elem_50)) ),[1,0],$fot(elem_29)]]) ).

cnf(refute_0_482,plain,
    ( elem_50 != elem_29
    | s(elem_50) = s(elem_29) ),
    inference(resolve,[$cnf( $equal(s(elem_50),s(elem_50)) )],[refute_0_480,refute_0_481]) ).

cnf(refute_0_483,plain,
    s(elem_50) = s(elem_29),
    inference(resolve,[$cnf( $equal(elem_50,elem_29) )],[refute_0_479,refute_0_482]) ).

cnf(refute_0_484,plain,
    ( s(elem_29) != elem_32
    | s(elem_50) != s(elem_29)
    | s(elem_50) = elem_32 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(elem_50))),bind(Y,$fot(s(elem_29))),bind(Z,$fot(elem_32))]]) ).

cnf(refute_0_485,plain,
    ( s(elem_29) != elem_32
    | s(elem_50) = elem_32 ),
    inference(resolve,[$cnf( $equal(s(elem_50),s(elem_29)) )],[refute_0_483,refute_0_484]) ).

cnf(refute_0_486,plain,
    s(elem_50) = elem_32,
    inference(resolve,[$cnf( $equal(s(elem_29),elem_32) )],[refute_0_10,refute_0_485]) ).

cnf(refute_0_487,plain,
    ( s(elem_50) != elem_32
    | s(elem_50) != elem_48
    | elem_32 = elem_48 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_50),elem_48) ),[0],$fot(elem_32)]]) ).

cnf(refute_0_488,plain,
    ( s(elem_50) != elem_48
    | elem_32 = elem_48 ),
    inference(resolve,[$cnf( $equal(s(elem_50),elem_32) )],[refute_0_486,refute_0_487]) ).

cnf(refute_0_489,plain,
    elem_32 = elem_48,
    inference(resolve,[$cnf( $equal(s(elem_50),elem_48) )],[hyp59,refute_0_488]) ).

cnf(refute_0_490,plain,
    ( elem_32 != elem_48
    | elem_48 = elem_32 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_32)),bind(Y,$fot(elem_48))]]) ).

cnf(refute_0_491,plain,
    elem_48 = elem_32,
    inference(resolve,[$cnf( $equal(elem_32,elem_48) )],[refute_0_489,refute_0_490]) ).

cnf(refute_0_492,plain,
    s(elem_48) = s(elem_48),
    introduced(tautology,[refl,[$fot(s(elem_48))]]) ).

cnf(refute_0_493,plain,
    ( elem_48 != elem_32
    | s(elem_48) != s(elem_48)
    | s(elem_48) = s(elem_32) ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_48),s(elem_48)) ),[1,0],$fot(elem_32)]]) ).

cnf(refute_0_494,plain,
    ( elem_48 != elem_32
    | s(elem_48) = s(elem_32) ),
    inference(resolve,[$cnf( $equal(s(elem_48),s(elem_48)) )],[refute_0_492,refute_0_493]) ).

cnf(refute_0_495,plain,
    s(elem_48) = s(elem_32),
    inference(resolve,[$cnf( $equal(elem_48,elem_32) )],[refute_0_491,refute_0_494]) ).

cnf(refute_0_496,plain,
    ( s(elem_32) != elem_35
    | s(elem_48) != s(elem_32)
    | s(elem_48) = elem_35 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(elem_48))),bind(Y,$fot(s(elem_32))),bind(Z,$fot(elem_35))]]) ).

cnf(refute_0_497,plain,
    ( s(elem_32) != elem_35
    | s(elem_48) = elem_35 ),
    inference(resolve,[$cnf( $equal(s(elem_48),s(elem_32)) )],[refute_0_495,refute_0_496]) ).

cnf(refute_0_498,plain,
    s(elem_48) = elem_35,
    inference(resolve,[$cnf( $equal(s(elem_32),elem_35) )],[refute_0_8,refute_0_497]) ).

cnf(refute_0_499,plain,
    ( s(elem_48) != elem_35
    | s(elem_48) != elem_46
    | elem_35 = elem_46 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_48),elem_46) ),[0],$fot(elem_35)]]) ).

cnf(refute_0_500,plain,
    ( s(elem_48) != elem_46
    | elem_35 = elem_46 ),
    inference(resolve,[$cnf( $equal(s(elem_48),elem_35) )],[refute_0_498,refute_0_499]) ).

cnf(refute_0_501,plain,
    elem_35 = elem_46,
    inference(resolve,[$cnf( $equal(s(elem_48),elem_46) )],[hyp57,refute_0_500]) ).

cnf(refute_0_502,plain,
    ( elem_35 != elem_46
    | elem_46 = elem_35 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_35)),bind(Y,$fot(elem_46))]]) ).

cnf(refute_0_503,plain,
    elem_46 = elem_35,
    inference(resolve,[$cnf( $equal(elem_35,elem_46) )],[refute_0_501,refute_0_502]) ).

cnf(refute_0_504,plain,
    s(elem_46) = s(elem_46),
    introduced(tautology,[refl,[$fot(s(elem_46))]]) ).

cnf(refute_0_505,plain,
    ( elem_46 != elem_35
    | s(elem_46) != s(elem_46)
    | s(elem_46) = s(elem_35) ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_46),s(elem_46)) ),[1,0],$fot(elem_35)]]) ).

cnf(refute_0_506,plain,
    ( elem_46 != elem_35
    | s(elem_46) = s(elem_35) ),
    inference(resolve,[$cnf( $equal(s(elem_46),s(elem_46)) )],[refute_0_504,refute_0_505]) ).

cnf(refute_0_507,plain,
    s(elem_46) = s(elem_35),
    inference(resolve,[$cnf( $equal(elem_46,elem_35) )],[refute_0_503,refute_0_506]) ).

cnf(refute_0_508,plain,
    ( s(elem_35) != elem_38
    | s(elem_46) != s(elem_35)
    | s(elem_46) = elem_38 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(elem_46))),bind(Y,$fot(s(elem_35))),bind(Z,$fot(elem_38))]]) ).

cnf(refute_0_509,plain,
    ( s(elem_35) != elem_38
    | s(elem_46) = elem_38 ),
    inference(resolve,[$cnf( $equal(s(elem_46),s(elem_35)) )],[refute_0_507,refute_0_508]) ).

cnf(refute_0_510,plain,
    s(elem_46) = elem_38,
    inference(resolve,[$cnf( $equal(s(elem_35),elem_38) )],[refute_0_6,refute_0_509]) ).

cnf(refute_0_511,plain,
    ( s(elem_46) != elem_38
    | s(elem_46) != elem_44
    | elem_38 = elem_44 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_46),elem_44) ),[0],$fot(elem_38)]]) ).

cnf(refute_0_512,plain,
    ( s(elem_46) != elem_44
    | elem_38 = elem_44 ),
    inference(resolve,[$cnf( $equal(s(elem_46),elem_38) )],[refute_0_510,refute_0_511]) ).

cnf(refute_0_513,plain,
    elem_38 = elem_44,
    inference(resolve,[$cnf( $equal(s(elem_46),elem_44) )],[hyp56,refute_0_512]) ).

cnf(refute_0_514,plain,
    ( elem_38 != elem_44
    | elem_44 = elem_38 ),
    inference(subst,[],[refute_0_2:[bind(X0,$fot(elem_38)),bind(Y,$fot(elem_44))]]) ).

cnf(refute_0_515,plain,
    elem_44 = elem_38,
    inference(resolve,[$cnf( $equal(elem_38,elem_44) )],[refute_0_513,refute_0_514]) ).

cnf(refute_0_516,plain,
    s(elem_44) = s(elem_44),
    introduced(tautology,[refl,[$fot(s(elem_44))]]) ).

cnf(refute_0_517,plain,
    ( elem_44 != elem_38
    | s(elem_44) != s(elem_44)
    | s(elem_44) = s(elem_38) ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_44),s(elem_44)) ),[1,0],$fot(elem_38)]]) ).

cnf(refute_0_518,plain,
    ( elem_44 != elem_38
    | s(elem_44) = s(elem_38) ),
    inference(resolve,[$cnf( $equal(s(elem_44),s(elem_44)) )],[refute_0_516,refute_0_517]) ).

cnf(refute_0_519,plain,
    s(elem_44) = s(elem_38),
    inference(resolve,[$cnf( $equal(elem_44,elem_38) )],[refute_0_515,refute_0_518]) ).

cnf(refute_0_520,plain,
    ( s(elem_38) != elem_41
    | s(elem_44) != s(elem_38)
    | s(elem_44) = elem_41 ),
    inference(subst,[],[refute_0_108:[bind(X0,$fot(s(elem_44))),bind(Y,$fot(s(elem_38))),bind(Z,$fot(elem_41))]]) ).

cnf(refute_0_521,plain,
    ( s(elem_38) != elem_41
    | s(elem_44) = elem_41 ),
    inference(resolve,[$cnf( $equal(s(elem_44),s(elem_38)) )],[refute_0_519,refute_0_520]) ).

cnf(refute_0_522,plain,
    s(elem_44) = elem_41,
    inference(resolve,[$cnf( $equal(s(elem_38),elem_41) )],[refute_0_4,refute_0_521]) ).

cnf(refute_0_523,plain,
    ( s(elem_44) != elem_41
    | s(elem_44) != elem_43
    | elem_41 = elem_43 ),
    introduced(tautology,[equality,[$cnf( $equal(s(elem_44),elem_43) ),[0],$fot(elem_41)]]) ).

cnf(refute_0_524,plain,
    ( s(elem_44) != elem_43
    | elem_41 = elem_43 ),
    inference(resolve,[$cnf( $equal(s(elem_44),elem_41) )],[refute_0_522,refute_0_523]) ).

cnf(refute_0_525,plain,
    elem_41 = elem_43,
    inference(resolve,[$cnf( $equal(s(elem_44),elem_43) )],[hyp55,refute_0_524]) ).

cnf(refute_0_526,plain,
    $false,
    inference(resolve,[$cnf( $equal(elem_41,elem_43) )],[refute_0_525,goal]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV567-1.014 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 04:06:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 8.07/8.23  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.07/8.23  
% 8.07/8.23  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.07/8.27  
%------------------------------------------------------------------------------