TSTP Solution File: NUM375+1.015 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NUM375+1.015 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n025.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  : 300s
% DateTime : Thu Aug 31 10:27:43 EDT 2023

% Result   : Unsatisfiable 0.20s 0.64s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    n0: $i ).

tff(decl_23,type,
    succ: $i > $i ).

tff(decl_24,type,
    n1: $i ).

tff(decl_25,type,
    n2: $i ).

tff(decl_26,type,
    n3: $i ).

tff(decl_27,type,
    n4: $i ).

tff(decl_28,type,
    n5: $i ).

tff(decl_29,type,
    n6: $i ).

tff(decl_30,type,
    n7: $i ).

tff(decl_31,type,
    n8: $i ).

tff(decl_32,type,
    n9: $i ).

tff(decl_33,type,
    n10: $i ).

tff(decl_34,type,
    n11: $i ).

tff(decl_35,type,
    n12: $i ).

tff(decl_36,type,
    n13: $i ).

tff(decl_37,type,
    n14: $i ).

tff(decl_38,type,
    n15: $i ).

tff(decl_39,type,
    pred: $i > $i ).

tff(decl_40,type,
    sum: ( $i * $i ) > $i ).

tff(decl_41,type,
    esk1_0: $i ).

tff(decl_42,type,
    esk2_0: $i ).

tff(decl_43,type,
    esk3_0: $i ).

fof(try_satisfy_this,axiom,
    ? [X1,X2,X3] :
      ( succ(n0) = n1
      & succ(n1) = n2
      & succ(n2) = n3
      & succ(n3) = n4
      & succ(n4) = n5
      & succ(n5) = n6
      & succ(n6) = n7
      & succ(n7) = n8
      & succ(n8) = n9
      & succ(n9) = n10
      & succ(n10) = n11
      & succ(n11) = n12
      & succ(n12) = n13
      & succ(n13) = n14
      & succ(n14) = n15
      & succ(n15) = n0
      & pred(n0) = n15
      & pred(n1) = n0
      & pred(n2) = n1
      & pred(n3) = n2
      & pred(n4) = n3
      & pred(n5) = n4
      & pred(n6) = n5
      & pred(n7) = n6
      & pred(n8) = n7
      & pred(n9) = n8
      & pred(n10) = n9
      & pred(n11) = n10
      & pred(n12) = n11
      & pred(n13) = n12
      & pred(n14) = n13
      & pred(n15) = n14
      & sum(n0,n0) = n0
      & sum(n0,n1) = n1
      & sum(n0,n2) = n2
      & sum(n0,n3) = n3
      & sum(n0,n4) = n4
      & sum(n0,n5) = n5
      & sum(n0,n6) = n6
      & sum(n0,n7) = n7
      & sum(n0,n8) = n8
      & sum(n0,n9) = n9
      & sum(n0,n10) = n10
      & sum(n0,n11) = n11
      & sum(n0,n12) = n12
      & sum(n0,n13) = n13
      & sum(n0,n14) = n14
      & sum(n0,n15) = n15
      & sum(n1,n0) = n1
      & sum(n1,n1) = n2
      & sum(n1,n2) = n3
      & sum(n1,n3) = n4
      & sum(n1,n4) = n5
      & sum(n1,n5) = n6
      & sum(n1,n6) = n7
      & sum(n1,n7) = n8
      & sum(n1,n8) = n9
      & sum(n1,n9) = n10
      & sum(n1,n10) = n11
      & sum(n1,n11) = n12
      & sum(n1,n12) = n13
      & sum(n1,n13) = n14
      & sum(n1,n14) = n15
      & sum(n1,n15) = n0
      & sum(n2,n0) = n2
      & sum(n2,n1) = n3
      & sum(n2,n2) = n4
      & sum(n2,n3) = n5
      & sum(n2,n4) = n6
      & sum(n2,n5) = n7
      & sum(n2,n6) = n8
      & sum(n2,n7) = n9
      & sum(n2,n8) = n10
      & sum(n2,n9) = n11
      & sum(n2,n10) = n12
      & sum(n2,n11) = n13
      & sum(n2,n12) = n14
      & sum(n2,n13) = n15
      & sum(n2,n14) = n0
      & sum(n2,n15) = n1
      & sum(n3,n0) = n3
      & sum(n3,n1) = n4
      & sum(n3,n2) = n5
      & sum(n3,n3) = n6
      & sum(n3,n4) = n7
      & sum(n3,n5) = n8
      & sum(n3,n6) = n9
      & sum(n3,n7) = n10
      & sum(n3,n8) = n11
      & sum(n3,n9) = n12
      & sum(n3,n10) = n13
      & sum(n3,n11) = n14
      & sum(n3,n12) = n15
      & sum(n3,n13) = n0
      & sum(n3,n14) = n1
      & sum(n3,n15) = n2
      & sum(n4,n0) = n4
      & sum(n4,n1) = n5
      & sum(n4,n2) = n6
      & sum(n4,n3) = n7
      & sum(n4,n4) = n8
      & sum(n4,n5) = n9
      & sum(n4,n6) = n10
      & sum(n4,n7) = n11
      & sum(n4,n8) = n12
      & sum(n4,n9) = n13
      & sum(n4,n10) = n14
      & sum(n4,n11) = n15
      & sum(n4,n12) = n0
      & sum(n4,n13) = n1
      & sum(n4,n14) = n2
      & sum(n4,n15) = n3
      & sum(n5,n0) = n5
      & sum(n5,n1) = n6
      & sum(n5,n2) = n7
      & sum(n5,n3) = n8
      & sum(n5,n4) = n9
      & sum(n5,n5) = n10
      & sum(n5,n6) = n11
      & sum(n5,n7) = n12
      & sum(n5,n8) = n13
      & sum(n5,n9) = n14
      & sum(n5,n10) = n15
      & sum(n5,n11) = n0
      & sum(n5,n12) = n1
      & sum(n5,n13) = n2
      & sum(n5,n14) = n3
      & sum(n5,n15) = n4
      & sum(n6,n0) = n6
      & sum(n6,n1) = n7
      & sum(n6,n2) = n8
      & sum(n6,n3) = n9
      & sum(n6,n4) = n10
      & sum(n6,n5) = n11
      & sum(n6,n6) = n12
      & sum(n6,n7) = n13
      & sum(n6,n8) = n14
      & sum(n6,n9) = n15
      & sum(n6,n10) = n0
      & sum(n6,n11) = n1
      & sum(n6,n12) = n2
      & sum(n6,n13) = n3
      & sum(n6,n14) = n4
      & sum(n6,n15) = n5
      & sum(n7,n0) = n7
      & sum(n7,n1) = n8
      & sum(n7,n2) = n9
      & sum(n7,n3) = n10
      & sum(n7,n4) = n11
      & sum(n7,n5) = n12
      & sum(n7,n6) = n13
      & sum(n7,n7) = n14
      & sum(n7,n8) = n15
      & sum(n7,n9) = n0
      & sum(n7,n10) = n1
      & sum(n7,n11) = n2
      & sum(n7,n12) = n3
      & sum(n7,n13) = n4
      & sum(n7,n14) = n5
      & sum(n7,n15) = n6
      & sum(n8,n0) = n8
      & sum(n8,n1) = n9
      & sum(n8,n2) = n10
      & sum(n8,n3) = n11
      & sum(n8,n4) = n12
      & sum(n8,n5) = n13
      & sum(n8,n6) = n14
      & sum(n8,n7) = n15
      & sum(n8,n8) = n0
      & sum(n8,n9) = n1
      & sum(n8,n10) = n2
      & sum(n8,n11) = n3
      & sum(n8,n12) = n4
      & sum(n8,n13) = n5
      & sum(n8,n14) = n6
      & sum(n8,n15) = n7
      & sum(n9,n0) = n9
      & sum(n9,n1) = n10
      & sum(n9,n2) = n11
      & sum(n9,n3) = n12
      & sum(n9,n4) = n13
      & sum(n9,n5) = n14
      & sum(n9,n6) = n15
      & sum(n9,n7) = n0
      & sum(n9,n8) = n1
      & sum(n9,n9) = n2
      & sum(n9,n10) = n3
      & sum(n9,n11) = n4
      & sum(n9,n12) = n5
      & sum(n9,n13) = n6
      & sum(n9,n14) = n7
      & sum(n9,n15) = n8
      & sum(n10,n0) = n10
      & sum(n10,n1) = n11
      & sum(n10,n2) = n12
      & sum(n10,n3) = n13
      & sum(n10,n4) = n14
      & sum(n10,n5) = n15
      & sum(n10,n6) = n0
      & sum(n10,n7) = n1
      & sum(n10,n8) = n2
      & sum(n10,n9) = n3
      & sum(n10,n10) = n4
      & sum(n10,n11) = n5
      & sum(n10,n12) = n6
      & sum(n10,n13) = n7
      & sum(n10,n14) = n8
      & sum(n10,n15) = n9
      & sum(n11,n0) = n11
      & sum(n11,n1) = n12
      & sum(n11,n2) = n13
      & sum(n11,n3) = n14
      & sum(n11,n4) = n15
      & sum(n11,n5) = n0
      & sum(n11,n6) = n1
      & sum(n11,n7) = n2
      & sum(n11,n8) = n3
      & sum(n11,n9) = n4
      & sum(n11,n10) = n5
      & sum(n11,n11) = n6
      & sum(n11,n12) = n7
      & sum(n11,n13) = n8
      & sum(n11,n14) = n9
      & sum(n11,n15) = n10
      & sum(n12,n0) = n12
      & sum(n12,n1) = n13
      & sum(n12,n2) = n14
      & sum(n12,n3) = n15
      & sum(n12,n4) = n0
      & sum(n12,n5) = n1
      & sum(n12,n6) = n2
      & sum(n12,n7) = n3
      & sum(n12,n8) = n4
      & sum(n12,n9) = n5
      & sum(n12,n10) = n6
      & sum(n12,n11) = n7
      & sum(n12,n12) = n8
      & sum(n12,n13) = n9
      & sum(n12,n14) = n10
      & sum(n12,n15) = n11
      & sum(n13,n0) = n13
      & sum(n13,n1) = n14
      & sum(n13,n2) = n15
      & sum(n13,n3) = n0
      & sum(n13,n4) = n1
      & sum(n13,n5) = n2
      & sum(n13,n6) = n3
      & sum(n13,n7) = n4
      & sum(n13,n8) = n5
      & sum(n13,n9) = n6
      & sum(n13,n10) = n7
      & sum(n13,n11) = n8
      & sum(n13,n12) = n9
      & sum(n13,n13) = n10
      & sum(n13,n14) = n11
      & sum(n13,n15) = n12
      & sum(n14,n0) = n14
      & sum(n14,n1) = n15
      & sum(n14,n2) = n0
      & sum(n14,n3) = n1
      & sum(n14,n4) = n2
      & sum(n14,n5) = n3
      & sum(n14,n6) = n4
      & sum(n14,n7) = n5
      & sum(n14,n8) = n6
      & sum(n14,n9) = n7
      & sum(n14,n10) = n8
      & sum(n14,n11) = n9
      & sum(n14,n12) = n10
      & sum(n14,n13) = n11
      & sum(n14,n14) = n12
      & sum(n14,n15) = n13
      & sum(n15,n0) = n15
      & sum(n15,n1) = n0
      & sum(n15,n2) = n1
      & sum(n15,n3) = n2
      & sum(n15,n4) = n3
      & sum(n15,n5) = n4
      & sum(n15,n6) = n5
      & sum(n15,n7) = n6
      & sum(n15,n8) = n7
      & sum(n15,n9) = n8
      & sum(n15,n10) = n9
      & sum(n15,n11) = n10
      & sum(n15,n12) = n11
      & sum(n15,n13) = n12
      & sum(n15,n14) = n13
      & sum(n15,n15) = n14
      & ( X1 = n0
        | X1 = n1
        | X1 = n2
        | X1 = n3
        | X1 = n4
        | X1 = n5
        | X1 = n6
        | X1 = n7
        | X1 = n8
        | X1 = n9
        | X1 = n10
        | X1 = n11
        | X1 = n12
        | X1 = n13
        | X1 = n14
        | X1 = n15 )
      & ( X2 = n0
        | X2 = n1
        | X2 = n2
        | X2 = n3
        | X2 = n4
        | X2 = n5
        | X2 = n6
        | X2 = n7
        | X2 = n8
        | X2 = n9
        | X2 = n10
        | X2 = n11
        | X2 = n12
        | X2 = n13
        | X2 = n14
        | X2 = n15 )
      & X3 = sum(pred(sum(X1,succ(X2))),sum(X2,pred(sum(X1,X2))))
      & X3 != n0
      & X3 != n1
      & X3 != n2
      & X3 != n3
      & X3 != n4
      & X3 != n5
      & X3 != n6
      & X3 != n7
      & X3 != n8
      & X3 != n9
      & X3 != n10
      & X3 != n11
      & X3 != n12
      & X3 != n13
      & X3 != n14
      & X3 != n15
      & n0 != n1
      & n0 != n2
      & n0 != n3
      & n0 != n4
      & n0 != n5
      & n0 != n6
      & n0 != n7
      & n0 != n8
      & n0 != n9
      & n0 != n10
      & n0 != n11
      & n0 != n12
      & n0 != n13
      & n0 != n14
      & n0 != n15
      & n1 != n2
      & n1 != n3
      & n1 != n4
      & n1 != n5
      & n1 != n6
      & n1 != n7
      & n1 != n8
      & n1 != n9
      & n1 != n10
      & n1 != n11
      & n1 != n12
      & n1 != n13
      & n1 != n14
      & n1 != n15
      & n2 != n3
      & n2 != n4
      & n2 != n5
      & n2 != n6
      & n2 != n7
      & n2 != n8
      & n2 != n9
      & n2 != n10
      & n2 != n11
      & n2 != n12
      & n2 != n13
      & n2 != n14
      & n2 != n15
      & n3 != n4
      & n3 != n5
      & n3 != n6
      & n3 != n7
      & n3 != n8
      & n3 != n9
      & n3 != n10
      & n3 != n11
      & n3 != n12
      & n3 != n13
      & n3 != n14
      & n3 != n15
      & n4 != n5
      & n4 != n6
      & n4 != n7
      & n4 != n8
      & n4 != n9
      & n4 != n10
      & n4 != n11
      & n4 != n12
      & n4 != n13
      & n4 != n14
      & n4 != n15
      & n5 != n6
      & n5 != n7
      & n5 != n8
      & n5 != n9
      & n5 != n10
      & n5 != n11
      & n5 != n12
      & n5 != n13
      & n5 != n14
      & n5 != n15
      & n6 != n7
      & n6 != n8
      & n6 != n9
      & n6 != n10
      & n6 != n11
      & n6 != n12
      & n6 != n13
      & n6 != n14
      & n6 != n15
      & n7 != n8
      & n7 != n9
      & n7 != n10
      & n7 != n11
      & n7 != n12
      & n7 != n13
      & n7 != n14
      & n7 != n15
      & n8 != n9
      & n8 != n10
      & n8 != n11
      & n8 != n12
      & n8 != n13
      & n8 != n14
      & n8 != n15
      & n9 != n10
      & n9 != n11
      & n9 != n12
      & n9 != n13
      & n9 != n14
      & n9 != n15
      & n10 != n11
      & n10 != n12
      & n10 != n13
      & n10 != n14
      & n10 != n15
      & n11 != n12
      & n11 != n13
      & n11 != n14
      & n11 != n15
      & n12 != n13
      & n12 != n14
      & n12 != n15
      & n13 != n14
      & n13 != n15
      & n14 != n15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',try_satisfy_this) ).

fof(c_0_1,plain,
    ( succ(n0) = n1
    & succ(n1) = n2
    & succ(n2) = n3
    & succ(n3) = n4
    & succ(n4) = n5
    & succ(n5) = n6
    & succ(n6) = n7
    & succ(n7) = n8
    & succ(n8) = n9
    & succ(n9) = n10
    & succ(n10) = n11
    & succ(n11) = n12
    & succ(n12) = n13
    & succ(n13) = n14
    & succ(n14) = n15
    & succ(n15) = n0
    & pred(n0) = n15
    & pred(n1) = n0
    & pred(n2) = n1
    & pred(n3) = n2
    & pred(n4) = n3
    & pred(n5) = n4
    & pred(n6) = n5
    & pred(n7) = n6
    & pred(n8) = n7
    & pred(n9) = n8
    & pred(n10) = n9
    & pred(n11) = n10
    & pred(n12) = n11
    & pred(n13) = n12
    & pred(n14) = n13
    & pred(n15) = n14
    & sum(n0,n0) = n0
    & sum(n0,n1) = n1
    & sum(n0,n2) = n2
    & sum(n0,n3) = n3
    & sum(n0,n4) = n4
    & sum(n0,n5) = n5
    & sum(n0,n6) = n6
    & sum(n0,n7) = n7
    & sum(n0,n8) = n8
    & sum(n0,n9) = n9
    & sum(n0,n10) = n10
    & sum(n0,n11) = n11
    & sum(n0,n12) = n12
    & sum(n0,n13) = n13
    & sum(n0,n14) = n14
    & sum(n0,n15) = n15
    & sum(n1,n0) = n1
    & sum(n1,n1) = n2
    & sum(n1,n2) = n3
    & sum(n1,n3) = n4
    & sum(n1,n4) = n5
    & sum(n1,n5) = n6
    & sum(n1,n6) = n7
    & sum(n1,n7) = n8
    & sum(n1,n8) = n9
    & sum(n1,n9) = n10
    & sum(n1,n10) = n11
    & sum(n1,n11) = n12
    & sum(n1,n12) = n13
    & sum(n1,n13) = n14
    & sum(n1,n14) = n15
    & sum(n1,n15) = n0
    & sum(n2,n0) = n2
    & sum(n2,n1) = n3
    & sum(n2,n2) = n4
    & sum(n2,n3) = n5
    & sum(n2,n4) = n6
    & sum(n2,n5) = n7
    & sum(n2,n6) = n8
    & sum(n2,n7) = n9
    & sum(n2,n8) = n10
    & sum(n2,n9) = n11
    & sum(n2,n10) = n12
    & sum(n2,n11) = n13
    & sum(n2,n12) = n14
    & sum(n2,n13) = n15
    & sum(n2,n14) = n0
    & sum(n2,n15) = n1
    & sum(n3,n0) = n3
    & sum(n3,n1) = n4
    & sum(n3,n2) = n5
    & sum(n3,n3) = n6
    & sum(n3,n4) = n7
    & sum(n3,n5) = n8
    & sum(n3,n6) = n9
    & sum(n3,n7) = n10
    & sum(n3,n8) = n11
    & sum(n3,n9) = n12
    & sum(n3,n10) = n13
    & sum(n3,n11) = n14
    & sum(n3,n12) = n15
    & sum(n3,n13) = n0
    & sum(n3,n14) = n1
    & sum(n3,n15) = n2
    & sum(n4,n0) = n4
    & sum(n4,n1) = n5
    & sum(n4,n2) = n6
    & sum(n4,n3) = n7
    & sum(n4,n4) = n8
    & sum(n4,n5) = n9
    & sum(n4,n6) = n10
    & sum(n4,n7) = n11
    & sum(n4,n8) = n12
    & sum(n4,n9) = n13
    & sum(n4,n10) = n14
    & sum(n4,n11) = n15
    & sum(n4,n12) = n0
    & sum(n4,n13) = n1
    & sum(n4,n14) = n2
    & sum(n4,n15) = n3
    & sum(n5,n0) = n5
    & sum(n5,n1) = n6
    & sum(n5,n2) = n7
    & sum(n5,n3) = n8
    & sum(n5,n4) = n9
    & sum(n5,n5) = n10
    & sum(n5,n6) = n11
    & sum(n5,n7) = n12
    & sum(n5,n8) = n13
    & sum(n5,n9) = n14
    & sum(n5,n10) = n15
    & sum(n5,n11) = n0
    & sum(n5,n12) = n1
    & sum(n5,n13) = n2
    & sum(n5,n14) = n3
    & sum(n5,n15) = n4
    & sum(n6,n0) = n6
    & sum(n6,n1) = n7
    & sum(n6,n2) = n8
    & sum(n6,n3) = n9
    & sum(n6,n4) = n10
    & sum(n6,n5) = n11
    & sum(n6,n6) = n12
    & sum(n6,n7) = n13
    & sum(n6,n8) = n14
    & sum(n6,n9) = n15
    & sum(n6,n10) = n0
    & sum(n6,n11) = n1
    & sum(n6,n12) = n2
    & sum(n6,n13) = n3
    & sum(n6,n14) = n4
    & sum(n6,n15) = n5
    & sum(n7,n0) = n7
    & sum(n7,n1) = n8
    & sum(n7,n2) = n9
    & sum(n7,n3) = n10
    & sum(n7,n4) = n11
    & sum(n7,n5) = n12
    & sum(n7,n6) = n13
    & sum(n7,n7) = n14
    & sum(n7,n8) = n15
    & sum(n7,n9) = n0
    & sum(n7,n10) = n1
    & sum(n7,n11) = n2
    & sum(n7,n12) = n3
    & sum(n7,n13) = n4
    & sum(n7,n14) = n5
    & sum(n7,n15) = n6
    & sum(n8,n0) = n8
    & sum(n8,n1) = n9
    & sum(n8,n2) = n10
    & sum(n8,n3) = n11
    & sum(n8,n4) = n12
    & sum(n8,n5) = n13
    & sum(n8,n6) = n14
    & sum(n8,n7) = n15
    & sum(n8,n8) = n0
    & sum(n8,n9) = n1
    & sum(n8,n10) = n2
    & sum(n8,n11) = n3
    & sum(n8,n12) = n4
    & sum(n8,n13) = n5
    & sum(n8,n14) = n6
    & sum(n8,n15) = n7
    & sum(n9,n0) = n9
    & sum(n9,n1) = n10
    & sum(n9,n2) = n11
    & sum(n9,n3) = n12
    & sum(n9,n4) = n13
    & sum(n9,n5) = n14
    & sum(n9,n6) = n15
    & sum(n9,n7) = n0
    & sum(n9,n8) = n1
    & sum(n9,n9) = n2
    & sum(n9,n10) = n3
    & sum(n9,n11) = n4
    & sum(n9,n12) = n5
    & sum(n9,n13) = n6
    & sum(n9,n14) = n7
    & sum(n9,n15) = n8
    & sum(n10,n0) = n10
    & sum(n10,n1) = n11
    & sum(n10,n2) = n12
    & sum(n10,n3) = n13
    & sum(n10,n4) = n14
    & sum(n10,n5) = n15
    & sum(n10,n6) = n0
    & sum(n10,n7) = n1
    & sum(n10,n8) = n2
    & sum(n10,n9) = n3
    & sum(n10,n10) = n4
    & sum(n10,n11) = n5
    & sum(n10,n12) = n6
    & sum(n10,n13) = n7
    & sum(n10,n14) = n8
    & sum(n10,n15) = n9
    & sum(n11,n0) = n11
    & sum(n11,n1) = n12
    & sum(n11,n2) = n13
    & sum(n11,n3) = n14
    & sum(n11,n4) = n15
    & sum(n11,n5) = n0
    & sum(n11,n6) = n1
    & sum(n11,n7) = n2
    & sum(n11,n8) = n3
    & sum(n11,n9) = n4
    & sum(n11,n10) = n5
    & sum(n11,n11) = n6
    & sum(n11,n12) = n7
    & sum(n11,n13) = n8
    & sum(n11,n14) = n9
    & sum(n11,n15) = n10
    & sum(n12,n0) = n12
    & sum(n12,n1) = n13
    & sum(n12,n2) = n14
    & sum(n12,n3) = n15
    & sum(n12,n4) = n0
    & sum(n12,n5) = n1
    & sum(n12,n6) = n2
    & sum(n12,n7) = n3
    & sum(n12,n8) = n4
    & sum(n12,n9) = n5
    & sum(n12,n10) = n6
    & sum(n12,n11) = n7
    & sum(n12,n12) = n8
    & sum(n12,n13) = n9
    & sum(n12,n14) = n10
    & sum(n12,n15) = n11
    & sum(n13,n0) = n13
    & sum(n13,n1) = n14
    & sum(n13,n2) = n15
    & sum(n13,n3) = n0
    & sum(n13,n4) = n1
    & sum(n13,n5) = n2
    & sum(n13,n6) = n3
    & sum(n13,n7) = n4
    & sum(n13,n8) = n5
    & sum(n13,n9) = n6
    & sum(n13,n10) = n7
    & sum(n13,n11) = n8
    & sum(n13,n12) = n9
    & sum(n13,n13) = n10
    & sum(n13,n14) = n11
    & sum(n13,n15) = n12
    & sum(n14,n0) = n14
    & sum(n14,n1) = n15
    & sum(n14,n2) = n0
    & sum(n14,n3) = n1
    & sum(n14,n4) = n2
    & sum(n14,n5) = n3
    & sum(n14,n6) = n4
    & sum(n14,n7) = n5
    & sum(n14,n8) = n6
    & sum(n14,n9) = n7
    & sum(n14,n10) = n8
    & sum(n14,n11) = n9
    & sum(n14,n12) = n10
    & sum(n14,n13) = n11
    & sum(n14,n14) = n12
    & sum(n14,n15) = n13
    & sum(n15,n0) = n15
    & sum(n15,n1) = n0
    & sum(n15,n2) = n1
    & sum(n15,n3) = n2
    & sum(n15,n4) = n3
    & sum(n15,n5) = n4
    & sum(n15,n6) = n5
    & sum(n15,n7) = n6
    & sum(n15,n8) = n7
    & sum(n15,n9) = n8
    & sum(n15,n10) = n9
    & sum(n15,n11) = n10
    & sum(n15,n12) = n11
    & sum(n15,n13) = n12
    & sum(n15,n14) = n13
    & sum(n15,n15) = n14
    & ( esk1_0 = n0
      | esk1_0 = n1
      | esk1_0 = n2
      | esk1_0 = n3
      | esk1_0 = n4
      | esk1_0 = n5
      | esk1_0 = n6
      | esk1_0 = n7
      | esk1_0 = n8
      | esk1_0 = n9
      | esk1_0 = n10
      | esk1_0 = n11
      | esk1_0 = n12
      | esk1_0 = n13
      | esk1_0 = n14
      | esk1_0 = n15 )
    & ( esk2_0 = n0
      | esk2_0 = n1
      | esk2_0 = n2
      | esk2_0 = n3
      | esk2_0 = n4
      | esk2_0 = n5
      | esk2_0 = n6
      | esk2_0 = n7
      | esk2_0 = n8
      | esk2_0 = n9
      | esk2_0 = n10
      | esk2_0 = n11
      | esk2_0 = n12
      | esk2_0 = n13
      | esk2_0 = n14
      | esk2_0 = n15 )
    & esk3_0 = sum(pred(sum(esk1_0,succ(esk2_0))),sum(esk2_0,pred(sum(esk1_0,esk2_0))))
    & esk3_0 != n0
    & esk3_0 != n1
    & esk3_0 != n2
    & esk3_0 != n3
    & esk3_0 != n4
    & esk3_0 != n5
    & esk3_0 != n6
    & esk3_0 != n7
    & esk3_0 != n8
    & esk3_0 != n9
    & esk3_0 != n10
    & esk3_0 != n11
    & esk3_0 != n12
    & esk3_0 != n13
    & esk3_0 != n14
    & esk3_0 != n15
    & n0 != n1
    & n0 != n2
    & n0 != n3
    & n0 != n4
    & n0 != n5
    & n0 != n6
    & n0 != n7
    & n0 != n8
    & n0 != n9
    & n0 != n10
    & n0 != n11
    & n0 != n12
    & n0 != n13
    & n0 != n14
    & n0 != n15
    & n1 != n2
    & n1 != n3
    & n1 != n4
    & n1 != n5
    & n1 != n6
    & n1 != n7
    & n1 != n8
    & n1 != n9
    & n1 != n10
    & n1 != n11
    & n1 != n12
    & n1 != n13
    & n1 != n14
    & n1 != n15
    & n2 != n3
    & n2 != n4
    & n2 != n5
    & n2 != n6
    & n2 != n7
    & n2 != n8
    & n2 != n9
    & n2 != n10
    & n2 != n11
    & n2 != n12
    & n2 != n13
    & n2 != n14
    & n2 != n15
    & n3 != n4
    & n3 != n5
    & n3 != n6
    & n3 != n7
    & n3 != n8
    & n3 != n9
    & n3 != n10
    & n3 != n11
    & n3 != n12
    & n3 != n13
    & n3 != n14
    & n3 != n15
    & n4 != n5
    & n4 != n6
    & n4 != n7
    & n4 != n8
    & n4 != n9
    & n4 != n10
    & n4 != n11
    & n4 != n12
    & n4 != n13
    & n4 != n14
    & n4 != n15
    & n5 != n6
    & n5 != n7
    & n5 != n8
    & n5 != n9
    & n5 != n10
    & n5 != n11
    & n5 != n12
    & n5 != n13
    & n5 != n14
    & n5 != n15
    & n6 != n7
    & n6 != n8
    & n6 != n9
    & n6 != n10
    & n6 != n11
    & n6 != n12
    & n6 != n13
    & n6 != n14
    & n6 != n15
    & n7 != n8
    & n7 != n9
    & n7 != n10
    & n7 != n11
    & n7 != n12
    & n7 != n13
    & n7 != n14
    & n7 != n15
    & n8 != n9
    & n8 != n10
    & n8 != n11
    & n8 != n12
    & n8 != n13
    & n8 != n14
    & n8 != n15
    & n9 != n10
    & n9 != n11
    & n9 != n12
    & n9 != n13
    & n9 != n14
    & n9 != n15
    & n10 != n11
    & n10 != n12
    & n10 != n13
    & n10 != n14
    & n10 != n15
    & n11 != n12
    & n11 != n13
    & n11 != n14
    & n11 != n15
    & n12 != n13
    & n12 != n14
    & n12 != n15
    & n13 != n14
    & n13 != n15
    & n14 != n15 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[try_satisfy_this])]) ).

cnf(c_0_2,plain,
    esk3_0 = sum(pred(sum(esk1_0,succ(esk2_0))),sum(esk2_0,pred(sum(esk1_0,esk2_0)))),
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_3,plain,
    ( esk1_0 = n0
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_4,plain,
    ( esk2_0 = n0
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_5,plain,
    succ(n0) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_6,plain,
    ( sum(pred(sum(n0,succ(esk2_0))),sum(esk2_0,pred(sum(n0,esk2_0)))) = esk3_0
    | esk1_0 = n15
    | esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(spm,[status(thm)],[c_0_2,c_0_3]) ).

cnf(c_0_7,plain,
    sum(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_8,plain,
    pred(n1) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_9,plain,
    sum(n0,n0) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_10,plain,
    pred(n0) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_11,plain,
    sum(n0,n15) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_12,plain,
    esk3_0 != n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_13,plain,
    ( sum(pred(sum(esk1_0,n1)),sum(n0,pred(sum(esk1_0,n0)))) = esk3_0
    | esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_4]),c_0_5]) ).

cnf(c_0_14,plain,
    ( esk2_0 = n15
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_4]),c_0_5]),c_0_7]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_11]),c_0_12]) ).

cnf(c_0_15,plain,
    sum(n15,n1) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_16,plain,
    sum(n15,n0) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_17,plain,
    pred(n15) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_18,plain,
    sum(n0,n14) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_19,plain,
    sum(n15,n14) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_20,plain,
    esk3_0 != n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_21,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_10]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]) ).

cnf(c_0_22,plain,
    sum(n14,n1) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_23,plain,
    sum(n14,n0) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_24,plain,
    pred(n14) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_25,plain,
    sum(n0,n13) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_26,plain,
    sum(n14,n13) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_27,plain,
    esk3_0 != n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_28,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_21]),c_0_22]),c_0_17]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]) ).

cnf(c_0_29,plain,
    sum(n13,n1) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_30,plain,
    sum(n13,n0) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_31,plain,
    pred(n13) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_32,plain,
    sum(n0,n12) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_33,plain,
    sum(n13,n12) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_34,plain,
    esk3_0 != n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_35,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_28]),c_0_29]),c_0_24]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]) ).

cnf(c_0_36,plain,
    sum(n12,n1) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_37,plain,
    sum(n12,n0) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_38,plain,
    pred(n12) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_39,plain,
    sum(n0,n11) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_40,plain,
    sum(n12,n11) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_41,plain,
    esk3_0 != n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_42,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_35]),c_0_36]),c_0_31]),c_0_37]),c_0_38]),c_0_39]),c_0_40]),c_0_41]) ).

cnf(c_0_43,plain,
    sum(n11,n1) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_44,plain,
    sum(n11,n0) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_45,plain,
    pred(n11) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_46,plain,
    sum(n0,n10) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_47,plain,
    sum(n11,n10) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_48,plain,
    esk3_0 != n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_49,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_42]),c_0_43]),c_0_38]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]) ).

cnf(c_0_50,plain,
    sum(n10,n1) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_51,plain,
    sum(n10,n0) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_52,plain,
    pred(n10) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_53,plain,
    sum(n0,n9) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_54,plain,
    sum(n10,n9) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_55,plain,
    esk3_0 != n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_56,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_49]),c_0_50]),c_0_45]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55]) ).

cnf(c_0_57,plain,
    sum(n9,n1) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_58,plain,
    sum(n9,n0) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_59,plain,
    pred(n9) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_60,plain,
    sum(n0,n8) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_61,plain,
    sum(n9,n8) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_62,plain,
    esk3_0 != n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_63,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_56]),c_0_57]),c_0_52]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]) ).

cnf(c_0_64,plain,
    sum(n8,n1) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_65,plain,
    sum(n8,n0) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_66,plain,
    pred(n8) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_67,plain,
    sum(n0,n7) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_68,plain,
    sum(n8,n7) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_69,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_63]),c_0_64]),c_0_59]),c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_12]) ).

cnf(c_0_70,plain,
    sum(n7,n1) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_71,plain,
    sum(n7,n0) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_72,plain,
    pred(n7) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_73,plain,
    sum(n0,n6) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_74,plain,
    sum(n7,n6) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_75,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_69]),c_0_70]),c_0_66]),c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_20]) ).

cnf(c_0_76,plain,
    sum(n6,n1) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_77,plain,
    sum(n6,n0) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_78,plain,
    pred(n6) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_79,plain,
    sum(n0,n5) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_80,plain,
    sum(n6,n5) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_81,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_75]),c_0_76]),c_0_72]),c_0_77]),c_0_78]),c_0_79]),c_0_80]),c_0_27]) ).

cnf(c_0_82,plain,
    sum(n5,n1) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_83,plain,
    sum(n5,n0) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_84,plain,
    pred(n5) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_85,plain,
    sum(n0,n4) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_86,plain,
    sum(n5,n4) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_87,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_81]),c_0_82]),c_0_78]),c_0_83]),c_0_84]),c_0_85]),c_0_86]),c_0_34]) ).

cnf(c_0_88,plain,
    sum(n4,n1) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_89,plain,
    sum(n4,n0) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_90,plain,
    pred(n4) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_91,plain,
    sum(n0,n3) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_92,plain,
    sum(n4,n3) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_93,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_87]),c_0_88]),c_0_84]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_41]) ).

cnf(c_0_94,plain,
    sum(n3,n1) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_95,plain,
    sum(n3,n0) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_96,plain,
    pred(n3) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_97,plain,
    sum(n0,n2) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_98,plain,
    sum(n3,n2) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_99,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_93]),c_0_94]),c_0_90]),c_0_95]),c_0_96]),c_0_97]),c_0_98]),c_0_48]) ).

cnf(c_0_100,plain,
    sum(n2,n1) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_101,plain,
    sum(n2,n0) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_102,plain,
    pred(n2) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_103,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_99]),c_0_100]),c_0_96]),c_0_101]),c_0_102]),c_0_7]),c_0_100]),c_0_55]) ).

cnf(c_0_104,plain,
    sum(n1,n1) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_105,plain,
    sum(n1,n0) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_106,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14
    | esk2_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_103]),c_0_104]),c_0_102]),c_0_105]),c_0_8]),c_0_9]),c_0_105]),c_0_62]) ).

cnf(c_0_107,plain,
    succ(n15) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_108,plain,
    sum(n15,n13) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_109,plain,
    esk3_0 != n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_110,plain,
    ( sum(pred(sum(esk1_0,n0)),sum(n15,pred(sum(esk1_0,n15)))) = esk3_0
    | esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_106]),c_0_107]) ).

cnf(c_0_111,plain,
    ( esk2_0 = n14
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_106]),c_0_107]),c_0_9]),c_0_10]),c_0_11]),c_0_17]),c_0_19]),c_0_108]),c_0_109]) ).

cnf(c_0_112,plain,
    sum(n15,n15) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_113,plain,
    sum(n14,n12) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_114,plain,
    esk3_0 != n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_115,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_16]),c_0_17]),c_0_112]),c_0_24]),c_0_108]),c_0_113]),c_0_114]) ).

cnf(c_0_116,plain,
    sum(n14,n15) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_117,plain,
    sum(n15,n12) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_118,plain,
    sum(n13,n11) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_119,plain,
    esk3_0 != n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_120,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_115]),c_0_23]),c_0_24]),c_0_116]),c_0_31]),c_0_117]),c_0_118]),c_0_119]) ).

cnf(c_0_121,plain,
    sum(n13,n15) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_122,plain,
    sum(n15,n11) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_123,plain,
    sum(n12,n10) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_124,plain,
    esk3_0 != n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_125,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_120]),c_0_30]),c_0_31]),c_0_121]),c_0_38]),c_0_122]),c_0_123]),c_0_124]) ).

cnf(c_0_126,plain,
    sum(n12,n15) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_127,plain,
    sum(n15,n10) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_128,plain,
    sum(n11,n9) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_129,plain,
    esk3_0 != n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_130,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_125]),c_0_37]),c_0_38]),c_0_126]),c_0_45]),c_0_127]),c_0_128]),c_0_129]) ).

cnf(c_0_131,plain,
    sum(n11,n15) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_132,plain,
    sum(n15,n9) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_133,plain,
    sum(n10,n8) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_134,plain,
    esk3_0 != n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_135,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_130]),c_0_44]),c_0_45]),c_0_131]),c_0_52]),c_0_132]),c_0_133]),c_0_134]) ).

cnf(c_0_136,plain,
    sum(n10,n15) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_137,plain,
    sum(n15,n8) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_138,plain,
    sum(n9,n7) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_139,plain,
    esk3_0 != n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_140,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_135]),c_0_51]),c_0_52]),c_0_136]),c_0_59]),c_0_137]),c_0_138]),c_0_139]) ).

cnf(c_0_141,plain,
    sum(n9,n15) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_142,plain,
    sum(n15,n7) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_143,plain,
    sum(n8,n6) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_144,plain,
    esk3_0 != n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_145,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_140]),c_0_58]),c_0_59]),c_0_141]),c_0_66]),c_0_142]),c_0_143]),c_0_144]) ).

cnf(c_0_146,plain,
    sum(n8,n15) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_147,plain,
    sum(n15,n6) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_148,plain,
    sum(n7,n5) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_149,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_145]),c_0_65]),c_0_66]),c_0_146]),c_0_72]),c_0_147]),c_0_148]),c_0_109]) ).

cnf(c_0_150,plain,
    sum(n7,n15) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_151,plain,
    sum(n15,n5) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_152,plain,
    sum(n6,n4) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_153,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_149]),c_0_71]),c_0_72]),c_0_150]),c_0_78]),c_0_151]),c_0_152]),c_0_114]) ).

cnf(c_0_154,plain,
    sum(n6,n15) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_155,plain,
    sum(n15,n4) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_156,plain,
    sum(n5,n3) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_157,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_153]),c_0_77]),c_0_78]),c_0_154]),c_0_84]),c_0_155]),c_0_156]),c_0_119]) ).

cnf(c_0_158,plain,
    sum(n5,n15) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_159,plain,
    sum(n15,n3) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_160,plain,
    sum(n4,n2) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_161,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_157]),c_0_83]),c_0_84]),c_0_158]),c_0_90]),c_0_159]),c_0_160]),c_0_124]) ).

cnf(c_0_162,plain,
    sum(n4,n15) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_163,plain,
    sum(n15,n2) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_164,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_161]),c_0_89]),c_0_90]),c_0_162]),c_0_96]),c_0_163]),c_0_94]),c_0_129]) ).

cnf(c_0_165,plain,
    sum(n3,n15) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_166,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_164]),c_0_95]),c_0_96]),c_0_165]),c_0_102]),c_0_15]),c_0_101]),c_0_134]) ).

cnf(c_0_167,plain,
    sum(n2,n15) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_168,plain,
    sum(n1,n15) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_169,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_166]),c_0_101]),c_0_102]),c_0_167]),c_0_8]),c_0_16]),c_0_168]),c_0_139]) ).

cnf(c_0_170,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13
    | esk2_0 = n14 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_169]),c_0_105]),c_0_8]),c_0_168]),c_0_10]),c_0_112]),c_0_18]),c_0_144]) ).

cnf(c_0_171,plain,
    succ(n14) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_172,plain,
    sum(n14,n11) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_173,plain,
    ( sum(pred(sum(esk1_0,n15)),sum(n14,pred(sum(esk1_0,n14)))) = esk3_0
    | esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_170]),c_0_171]) ).

cnf(c_0_174,plain,
    ( esk2_0 = n13
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_170]),c_0_171]),c_0_11]),c_0_17]),c_0_18]),c_0_24]),c_0_26]),c_0_172]),c_0_34]) ).

cnf(c_0_175,plain,
    sum(n13,n10) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_176,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_112]),c_0_24]),c_0_19]),c_0_31]),c_0_113]),c_0_175]),c_0_41]) ).

cnf(c_0_177,plain,
    sum(n14,n14) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_178,plain,
    sum(n12,n9) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_179,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_176]),c_0_116]),c_0_31]),c_0_177]),c_0_38]),c_0_172]),c_0_178]),c_0_48]) ).

cnf(c_0_180,plain,
    sum(n13,n14) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_181,plain,
    sum(n14,n10) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_182,plain,
    sum(n11,n8) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_183,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_179]),c_0_121]),c_0_38]),c_0_180]),c_0_45]),c_0_181]),c_0_182]),c_0_55]) ).

cnf(c_0_184,plain,
    sum(n12,n14) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_185,plain,
    sum(n14,n9) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_186,plain,
    sum(n10,n7) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_187,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_183]),c_0_126]),c_0_45]),c_0_184]),c_0_52]),c_0_185]),c_0_186]),c_0_62]) ).

cnf(c_0_188,plain,
    sum(n11,n14) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_189,plain,
    sum(n14,n8) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_190,plain,
    sum(n9,n6) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_191,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_187]),c_0_131]),c_0_52]),c_0_188]),c_0_59]),c_0_189]),c_0_190]),c_0_12]) ).

cnf(c_0_192,plain,
    sum(n10,n14) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_193,plain,
    sum(n14,n7) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_194,plain,
    sum(n8,n5) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_195,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_191]),c_0_136]),c_0_59]),c_0_192]),c_0_66]),c_0_193]),c_0_194]),c_0_20]) ).

cnf(c_0_196,plain,
    sum(n9,n14) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_197,plain,
    sum(n14,n6) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_198,plain,
    sum(n7,n4) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_199,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_195]),c_0_141]),c_0_66]),c_0_196]),c_0_72]),c_0_197]),c_0_198]),c_0_27]) ).

cnf(c_0_200,plain,
    sum(n8,n14) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_201,plain,
    sum(n14,n5) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_202,plain,
    sum(n6,n3) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_203,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_199]),c_0_146]),c_0_72]),c_0_200]),c_0_78]),c_0_201]),c_0_202]),c_0_34]) ).

cnf(c_0_204,plain,
    sum(n7,n14) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_205,plain,
    sum(n14,n4) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_206,plain,
    sum(n5,n2) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_207,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_203]),c_0_150]),c_0_78]),c_0_204]),c_0_84]),c_0_205]),c_0_206]),c_0_41]) ).

cnf(c_0_208,plain,
    sum(n6,n14) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_209,plain,
    sum(n14,n3) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_210,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_207]),c_0_154]),c_0_84]),c_0_208]),c_0_90]),c_0_209]),c_0_88]),c_0_48]) ).

cnf(c_0_211,plain,
    sum(n5,n14) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_212,plain,
    sum(n14,n2) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_213,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_210]),c_0_158]),c_0_90]),c_0_211]),c_0_96]),c_0_212]),c_0_95]),c_0_55]) ).

cnf(c_0_214,plain,
    sum(n4,n14) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_215,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_213]),c_0_162]),c_0_96]),c_0_214]),c_0_102]),c_0_22]),c_0_167]),c_0_62]) ).

cnf(c_0_216,plain,
    sum(n3,n14) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_217,plain,
    sum(n1,n14) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_218,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_215]),c_0_165]),c_0_102]),c_0_216]),c_0_8]),c_0_23]),c_0_217]),c_0_12]) ).

cnf(c_0_219,plain,
    sum(n2,n14) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_220,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_218]),c_0_167]),c_0_8]),c_0_219]),c_0_10]),c_0_116]),c_0_25]),c_0_20]) ).

cnf(c_0_221,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12
    | esk2_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_220]),c_0_168]),c_0_10]),c_0_217]),c_0_17]),c_0_177]),c_0_117]),c_0_27]) ).

cnf(c_0_222,plain,
    succ(n13) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_223,plain,
    sum(n13,n9) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_224,plain,
    ( sum(pred(sum(esk1_0,n14)),sum(n13,pred(sum(esk1_0,n13)))) = esk3_0
    | esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_221]),c_0_222]) ).

cnf(c_0_225,plain,
    ( esk2_0 = n12
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_221]),c_0_222]),c_0_18]),c_0_24]),c_0_25]),c_0_31]),c_0_33]),c_0_223]),c_0_124]) ).

cnf(c_0_226,plain,
    sum(n12,n8) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_227,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_19]),c_0_31]),c_0_108]),c_0_38]),c_0_118]),c_0_226]),c_0_129]) ).

cnf(c_0_228,plain,
    sum(n11,n7) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_229,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_227]),c_0_177]),c_0_38]),c_0_26]),c_0_45]),c_0_175]),c_0_228]),c_0_134]) ).

cnf(c_0_230,plain,
    sum(n13,n13) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_231,plain,
    sum(n10,n6) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_232,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_229]),c_0_180]),c_0_45]),c_0_230]),c_0_52]),c_0_223]),c_0_231]),c_0_139]) ).

cnf(c_0_233,plain,
    sum(n12,n13) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_234,plain,
    sum(n13,n8) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_235,plain,
    sum(n9,n5) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_236,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_232]),c_0_184]),c_0_52]),c_0_233]),c_0_59]),c_0_234]),c_0_235]),c_0_144]) ).

cnf(c_0_237,plain,
    sum(n11,n13) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_238,plain,
    sum(n13,n7) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_239,plain,
    sum(n8,n4) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_240,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_236]),c_0_188]),c_0_59]),c_0_237]),c_0_66]),c_0_238]),c_0_239]),c_0_109]) ).

cnf(c_0_241,plain,
    sum(n10,n13) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_242,plain,
    sum(n13,n6) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_243,plain,
    sum(n7,n3) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_244,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_240]),c_0_192]),c_0_66]),c_0_241]),c_0_72]),c_0_242]),c_0_243]),c_0_114]) ).

cnf(c_0_245,plain,
    sum(n9,n13) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_246,plain,
    sum(n13,n5) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_247,plain,
    sum(n6,n2) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_248,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_244]),c_0_196]),c_0_72]),c_0_245]),c_0_78]),c_0_246]),c_0_247]),c_0_119]) ).

cnf(c_0_249,plain,
    sum(n8,n13) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_250,plain,
    sum(n13,n4) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_251,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_248]),c_0_200]),c_0_78]),c_0_249]),c_0_84]),c_0_250]),c_0_82]),c_0_124]) ).

cnf(c_0_252,plain,
    sum(n7,n13) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_253,plain,
    sum(n13,n3) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_254,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_251]),c_0_204]),c_0_84]),c_0_252]),c_0_90]),c_0_253]),c_0_89]),c_0_129]) ).

cnf(c_0_255,plain,
    sum(n6,n13) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_256,plain,
    sum(n13,n2) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_257,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_254]),c_0_208]),c_0_90]),c_0_255]),c_0_96]),c_0_256]),c_0_165]),c_0_134]) ).

cnf(c_0_258,plain,
    sum(n5,n13) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_259,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_257]),c_0_211]),c_0_96]),c_0_258]),c_0_102]),c_0_29]),c_0_219]),c_0_139]) ).

cnf(c_0_260,plain,
    sum(n4,n13) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_261,plain,
    sum(n1,n13) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_262,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_259]),c_0_214]),c_0_102]),c_0_260]),c_0_8]),c_0_30]),c_0_261]),c_0_144]) ).

cnf(c_0_263,plain,
    sum(n3,n13) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_264,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_262]),c_0_216]),c_0_8]),c_0_263]),c_0_10]),c_0_121]),c_0_32]),c_0_109]) ).

cnf(c_0_265,plain,
    sum(n2,n13) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_266,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_264]),c_0_219]),c_0_10]),c_0_265]),c_0_17]),c_0_180]),c_0_122]),c_0_114]) ).

cnf(c_0_267,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11
    | esk2_0 = n12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_266]),c_0_217]),c_0_17]),c_0_261]),c_0_24]),c_0_230]),c_0_181]),c_0_119]) ).

cnf(c_0_268,plain,
    succ(n12) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_269,plain,
    sum(n12,n7) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_270,plain,
    ( sum(pred(sum(esk1_0,n13)),sum(n12,pred(sum(esk1_0,n12)))) = esk3_0
    | esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_267]),c_0_268]) ).

cnf(c_0_271,plain,
    ( esk2_0 = n11
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_267]),c_0_268]),c_0_25]),c_0_31]),c_0_32]),c_0_38]),c_0_40]),c_0_269]),c_0_55]) ).

cnf(c_0_272,plain,
    sum(n11,n6) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_273,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_108]),c_0_38]),c_0_117]),c_0_45]),c_0_123]),c_0_272]),c_0_62]) ).

cnf(c_0_274,plain,
    sum(n10,n5) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_275,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_273]),c_0_26]),c_0_45]),c_0_113]),c_0_52]),c_0_178]),c_0_274]),c_0_12]) ).

cnf(c_0_276,plain,
    sum(n9,n4) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_277,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_275]),c_0_230]),c_0_52]),c_0_33]),c_0_59]),c_0_226]),c_0_276]),c_0_20]) ).

cnf(c_0_278,plain,
    sum(n12,n12) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_279,plain,
    sum(n8,n3) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_280,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_277]),c_0_233]),c_0_59]),c_0_278]),c_0_66]),c_0_269]),c_0_279]),c_0_27]) ).

cnf(c_0_281,plain,
    sum(n11,n12) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_282,plain,
    sum(n12,n6) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_283,plain,
    sum(n7,n2) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_284,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_280]),c_0_237]),c_0_66]),c_0_281]),c_0_72]),c_0_282]),c_0_283]),c_0_34]) ).

cnf(c_0_285,plain,
    sum(n10,n12) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_286,plain,
    sum(n12,n5) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_287,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_284]),c_0_241]),c_0_72]),c_0_285]),c_0_78]),c_0_286]),c_0_76]),c_0_41]) ).

cnf(c_0_288,plain,
    sum(n9,n12) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_289,plain,
    sum(n12,n4) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_290,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_287]),c_0_245]),c_0_78]),c_0_288]),c_0_84]),c_0_289]),c_0_83]),c_0_48]) ).

cnf(c_0_291,plain,
    sum(n8,n12) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_292,plain,
    sum(n12,n3) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_293,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_290]),c_0_249]),c_0_84]),c_0_291]),c_0_90]),c_0_292]),c_0_162]),c_0_55]) ).

cnf(c_0_294,plain,
    sum(n7,n12) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_295,plain,
    sum(n12,n2) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_296,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_293]),c_0_252]),c_0_90]),c_0_294]),c_0_96]),c_0_295]),c_0_216]),c_0_62]) ).

cnf(c_0_297,plain,
    sum(n6,n12) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_298,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_296]),c_0_255]),c_0_96]),c_0_297]),c_0_102]),c_0_36]),c_0_265]),c_0_12]) ).

cnf(c_0_299,plain,
    sum(n5,n12) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_300,plain,
    sum(n1,n12) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_301,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_298]),c_0_258]),c_0_102]),c_0_299]),c_0_8]),c_0_37]),c_0_300]),c_0_20]) ).

cnf(c_0_302,plain,
    sum(n4,n12) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_303,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_301]),c_0_260]),c_0_8]),c_0_302]),c_0_10]),c_0_126]),c_0_39]),c_0_27]) ).

cnf(c_0_304,plain,
    sum(n3,n12) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_305,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_303]),c_0_263]),c_0_10]),c_0_304]),c_0_17]),c_0_184]),c_0_127]),c_0_34]) ).

cnf(c_0_306,plain,
    sum(n2,n12) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_307,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_305]),c_0_265]),c_0_17]),c_0_306]),c_0_24]),c_0_233]),c_0_185]),c_0_41]) ).

cnf(c_0_308,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10
    | esk2_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_307]),c_0_261]),c_0_24]),c_0_300]),c_0_31]),c_0_278]),c_0_234]),c_0_48]) ).

cnf(c_0_309,plain,
    succ(n11) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_310,plain,
    sum(n11,n5) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_311,plain,
    ( sum(pred(sum(esk1_0,n12)),sum(n11,pred(sum(esk1_0,n11)))) = esk3_0
    | esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_308]),c_0_309]) ).

cnf(c_0_312,plain,
    ( esk2_0 = n10
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_308]),c_0_309]),c_0_32]),c_0_38]),c_0_39]),c_0_45]),c_0_47]),c_0_310]),c_0_139]) ).

cnf(c_0_313,plain,
    sum(n10,n4) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_314,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_117]),c_0_45]),c_0_122]),c_0_52]),c_0_128]),c_0_313]),c_0_144]) ).

cnf(c_0_315,plain,
    sum(n9,n3) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_316,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_314]),c_0_113]),c_0_52]),c_0_172]),c_0_59]),c_0_182]),c_0_315]),c_0_109]) ).

cnf(c_0_317,plain,
    sum(n8,n2) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_318,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_316]),c_0_33]),c_0_59]),c_0_118]),c_0_66]),c_0_228]),c_0_317]),c_0_114]) ).

cnf(c_0_319,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_318]),c_0_278]),c_0_66]),c_0_40]),c_0_72]),c_0_272]),c_0_70]),c_0_119]) ).

cnf(c_0_320,plain,
    sum(n11,n11) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_321,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_319]),c_0_281]),c_0_72]),c_0_320]),c_0_78]),c_0_310]),c_0_77]),c_0_124]) ).

cnf(c_0_322,plain,
    sum(n10,n11) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_323,plain,
    sum(n11,n4) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_324,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_321]),c_0_285]),c_0_78]),c_0_322]),c_0_84]),c_0_323]),c_0_158]),c_0_129]) ).

cnf(c_0_325,plain,
    sum(n9,n11) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_326,plain,
    sum(n11,n3) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_327,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_324]),c_0_288]),c_0_84]),c_0_325]),c_0_90]),c_0_326]),c_0_214]),c_0_134]) ).

cnf(c_0_328,plain,
    sum(n8,n11) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_329,plain,
    sum(n11,n2) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_330,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_327]),c_0_291]),c_0_90]),c_0_328]),c_0_96]),c_0_329]),c_0_263]),c_0_139]) ).

cnf(c_0_331,plain,
    sum(n7,n11) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_332,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_330]),c_0_294]),c_0_96]),c_0_331]),c_0_102]),c_0_43]),c_0_306]),c_0_144]) ).

cnf(c_0_333,plain,
    sum(n6,n11) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_334,plain,
    sum(n1,n11) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_335,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_332]),c_0_297]),c_0_102]),c_0_333]),c_0_8]),c_0_44]),c_0_334]),c_0_109]) ).

cnf(c_0_336,plain,
    sum(n5,n11) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_337,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_335]),c_0_299]),c_0_8]),c_0_336]),c_0_10]),c_0_131]),c_0_46]),c_0_114]) ).

cnf(c_0_338,plain,
    sum(n4,n11) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_339,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_337]),c_0_302]),c_0_10]),c_0_338]),c_0_17]),c_0_188]),c_0_132]),c_0_119]) ).

cnf(c_0_340,plain,
    sum(n3,n11) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_341,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_339]),c_0_304]),c_0_17]),c_0_340]),c_0_24]),c_0_237]),c_0_189]),c_0_124]) ).

cnf(c_0_342,plain,
    sum(n2,n11) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_343,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_341]),c_0_306]),c_0_24]),c_0_342]),c_0_31]),c_0_281]),c_0_238]),c_0_129]) ).

cnf(c_0_344,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9
    | esk2_0 = n10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_343]),c_0_300]),c_0_31]),c_0_334]),c_0_38]),c_0_320]),c_0_282]),c_0_134]) ).

cnf(c_0_345,plain,
    succ(n10) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_346,plain,
    sum(n10,n3) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_347,plain,
    ( sum(pred(sum(esk1_0,n11)),sum(n10,pred(sum(esk1_0,n10)))) = esk3_0
    | esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_344]),c_0_345]) ).

cnf(c_0_348,plain,
    ( esk2_0 = n9
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_344]),c_0_345]),c_0_39]),c_0_45]),c_0_46]),c_0_52]),c_0_54]),c_0_346]),c_0_20]) ).

cnf(c_0_349,plain,
    sum(n9,n2) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_350,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_122]),c_0_52]),c_0_127]),c_0_59]),c_0_133]),c_0_349]),c_0_27]) ).

cnf(c_0_351,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_350]),c_0_172]),c_0_59]),c_0_181]),c_0_66]),c_0_186]),c_0_64]),c_0_34]) ).

cnf(c_0_352,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_351]),c_0_118]),c_0_66]),c_0_175]),c_0_72]),c_0_231]),c_0_71]),c_0_41]) ).

cnf(c_0_353,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_352]),c_0_40]),c_0_72]),c_0_123]),c_0_78]),c_0_274]),c_0_154]),c_0_48]) ).

cnf(c_0_354,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_353]),c_0_320]),c_0_78]),c_0_47]),c_0_84]),c_0_313]),c_0_211]),c_0_55]) ).

cnf(c_0_355,plain,
    sum(n10,n10) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_356,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_354]),c_0_322]),c_0_84]),c_0_355]),c_0_90]),c_0_346]),c_0_260]),c_0_62]) ).

cnf(c_0_357,plain,
    sum(n9,n10) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_358,plain,
    sum(n10,n2) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_359,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_356]),c_0_325]),c_0_90]),c_0_357]),c_0_96]),c_0_358]),c_0_304]),c_0_12]) ).

cnf(c_0_360,plain,
    sum(n8,n10) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_361,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_359]),c_0_328]),c_0_96]),c_0_360]),c_0_102]),c_0_50]),c_0_342]),c_0_20]) ).

cnf(c_0_362,plain,
    sum(n7,n10) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_363,plain,
    sum(n1,n10) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_364,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_361]),c_0_331]),c_0_102]),c_0_362]),c_0_8]),c_0_51]),c_0_363]),c_0_27]) ).

cnf(c_0_365,plain,
    sum(n6,n10) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_366,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_364]),c_0_333]),c_0_8]),c_0_365]),c_0_10]),c_0_136]),c_0_53]),c_0_34]) ).

cnf(c_0_367,plain,
    sum(n5,n10) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_368,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_366]),c_0_336]),c_0_10]),c_0_367]),c_0_17]),c_0_192]),c_0_137]),c_0_41]) ).

cnf(c_0_369,plain,
    sum(n4,n10) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_370,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_368]),c_0_338]),c_0_17]),c_0_369]),c_0_24]),c_0_241]),c_0_193]),c_0_48]) ).

cnf(c_0_371,plain,
    sum(n3,n10) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_372,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_370]),c_0_340]),c_0_24]),c_0_371]),c_0_31]),c_0_285]),c_0_242]),c_0_55]) ).

cnf(c_0_373,plain,
    sum(n2,n10) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_374,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_372]),c_0_342]),c_0_31]),c_0_373]),c_0_38]),c_0_322]),c_0_286]),c_0_62]) ).

cnf(c_0_375,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8
    | esk2_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_374]),c_0_334]),c_0_38]),c_0_363]),c_0_45]),c_0_355]),c_0_323]),c_0_12]) ).

cnf(c_0_376,plain,
    succ(n9) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_377,plain,
    ( sum(pred(sum(esk1_0,n10)),sum(n9,pred(sum(esk1_0,n9)))) = esk3_0
    | esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_375]),c_0_376]) ).

cnf(c_0_378,plain,
    ( esk2_0 = n8
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_375]),c_0_376]),c_0_46]),c_0_52]),c_0_53]),c_0_59]),c_0_61]),c_0_57]),c_0_114]) ).

cnf(c_0_379,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_127]),c_0_59]),c_0_132]),c_0_66]),c_0_138]),c_0_65]),c_0_119]) ).

cnf(c_0_380,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_379]),c_0_181]),c_0_66]),c_0_185]),c_0_72]),c_0_190]),c_0_150]),c_0_124]) ).

cnf(c_0_381,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_380]),c_0_175]),c_0_72]),c_0_223]),c_0_78]),c_0_235]),c_0_208]),c_0_129]) ).

cnf(c_0_382,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_381]),c_0_123]),c_0_78]),c_0_178]),c_0_84]),c_0_276]),c_0_258]),c_0_134]) ).

cnf(c_0_383,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_382]),c_0_47]),c_0_84]),c_0_128]),c_0_90]),c_0_315]),c_0_302]),c_0_139]) ).

cnf(c_0_384,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_383]),c_0_355]),c_0_90]),c_0_54]),c_0_96]),c_0_349]),c_0_340]),c_0_144]) ).

cnf(c_0_385,plain,
    sum(n9,n9) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_386,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_384]),c_0_357]),c_0_96]),c_0_385]),c_0_102]),c_0_57]),c_0_373]),c_0_109]) ).

cnf(c_0_387,plain,
    sum(n8,n9) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_388,plain,
    sum(n1,n9) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_389,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_386]),c_0_360]),c_0_102]),c_0_387]),c_0_8]),c_0_58]),c_0_388]),c_0_114]) ).

cnf(c_0_390,plain,
    sum(n7,n9) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_391,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_389]),c_0_362]),c_0_8]),c_0_390]),c_0_10]),c_0_141]),c_0_60]),c_0_119]) ).

cnf(c_0_392,plain,
    sum(n6,n9) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_393,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_391]),c_0_365]),c_0_10]),c_0_392]),c_0_17]),c_0_196]),c_0_142]),c_0_124]) ).

cnf(c_0_394,plain,
    sum(n5,n9) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_395,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_393]),c_0_367]),c_0_17]),c_0_394]),c_0_24]),c_0_245]),c_0_197]),c_0_129]) ).

cnf(c_0_396,plain,
    sum(n4,n9) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_397,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_395]),c_0_369]),c_0_24]),c_0_396]),c_0_31]),c_0_288]),c_0_246]),c_0_134]) ).

cnf(c_0_398,plain,
    sum(n3,n9) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_399,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_397]),c_0_371]),c_0_31]),c_0_398]),c_0_38]),c_0_325]),c_0_289]),c_0_139]) ).

cnf(c_0_400,plain,
    sum(n2,n9) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_401,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_399]),c_0_373]),c_0_38]),c_0_400]),c_0_45]),c_0_357]),c_0_326]),c_0_144]) ).

cnf(c_0_402,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | esk2_0 = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_401]),c_0_363]),c_0_45]),c_0_388]),c_0_52]),c_0_385]),c_0_358]),c_0_109]) ).

cnf(c_0_403,plain,
    succ(n8) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_404,plain,
    ( sum(pred(sum(esk1_0,n9)),sum(n8,pred(sum(esk1_0,n8)))) = esk3_0
    | esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_402]),c_0_403]) ).

cnf(c_0_405,plain,
    ( esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_402]),c_0_403]),c_0_53]),c_0_59]),c_0_60]),c_0_66]),c_0_68]),c_0_146]),c_0_41]) ).

cnf(c_0_406,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_405]),c_0_132]),c_0_66]),c_0_137]),c_0_72]),c_0_143]),c_0_204]),c_0_48]) ).

cnf(c_0_407,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_406]),c_0_185]),c_0_72]),c_0_189]),c_0_78]),c_0_194]),c_0_255]),c_0_55]) ).

cnf(c_0_408,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_407]),c_0_223]),c_0_78]),c_0_234]),c_0_84]),c_0_239]),c_0_299]),c_0_62]) ).

cnf(c_0_409,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_408]),c_0_178]),c_0_84]),c_0_226]),c_0_90]),c_0_279]),c_0_338]),c_0_12]) ).

cnf(c_0_410,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_409]),c_0_128]),c_0_90]),c_0_182]),c_0_96]),c_0_317]),c_0_371]),c_0_20]) ).

cnf(c_0_411,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_410]),c_0_54]),c_0_96]),c_0_133]),c_0_102]),c_0_64]),c_0_400]),c_0_27]) ).

cnf(c_0_412,plain,
    sum(n1,n8) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_413,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_411]),c_0_385]),c_0_102]),c_0_61]),c_0_8]),c_0_65]),c_0_412]),c_0_34]) ).

cnf(c_0_414,plain,
    sum(n8,n8) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_415,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_413]),c_0_387]),c_0_8]),c_0_414]),c_0_10]),c_0_146]),c_0_67]),c_0_41]) ).

cnf(c_0_416,plain,
    sum(n7,n8) = n15,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_417,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_415]),c_0_390]),c_0_10]),c_0_416]),c_0_17]),c_0_200]),c_0_147]),c_0_48]) ).

cnf(c_0_418,plain,
    sum(n6,n8) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_419,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_417]),c_0_392]),c_0_17]),c_0_418]),c_0_24]),c_0_249]),c_0_201]),c_0_55]) ).

cnf(c_0_420,plain,
    sum(n5,n8) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_421,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_419]),c_0_394]),c_0_24]),c_0_420]),c_0_31]),c_0_291]),c_0_250]),c_0_62]) ).

cnf(c_0_422,plain,
    sum(n4,n8) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_423,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_421]),c_0_396]),c_0_31]),c_0_422]),c_0_38]),c_0_328]),c_0_292]),c_0_12]) ).

cnf(c_0_424,plain,
    sum(n3,n8) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_425,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_423]),c_0_398]),c_0_38]),c_0_424]),c_0_45]),c_0_360]),c_0_329]),c_0_20]) ).

cnf(c_0_426,plain,
    sum(n2,n8) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_427,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_425]),c_0_400]),c_0_45]),c_0_426]),c_0_52]),c_0_387]),c_0_50]),c_0_27]) ).

cnf(c_0_428,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_427]),c_0_388]),c_0_52]),c_0_412]),c_0_59]),c_0_414]),c_0_58]),c_0_34]) ).

cnf(c_0_429,plain,
    succ(n7) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_430,plain,
    ( sum(pred(sum(esk1_0,n8)),sum(n7,pred(sum(esk1_0,n7)))) = esk3_0
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_428]),c_0_429]) ).

cnf(c_0_431,plain,
    ( esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_428]),c_0_429]),c_0_60]),c_0_66]),c_0_67]),c_0_72]),c_0_74]),c_0_252]),c_0_129]) ).

cnf(c_0_432,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_431]),c_0_137]),c_0_72]),c_0_142]),c_0_78]),c_0_148]),c_0_297]),c_0_134]) ).

cnf(c_0_433,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_432]),c_0_189]),c_0_78]),c_0_193]),c_0_84]),c_0_198]),c_0_336]),c_0_139]) ).

cnf(c_0_434,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_433]),c_0_234]),c_0_84]),c_0_238]),c_0_90]),c_0_243]),c_0_369]),c_0_144]) ).

cnf(c_0_435,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_434]),c_0_226]),c_0_90]),c_0_269]),c_0_96]),c_0_283]),c_0_398]),c_0_109]) ).

cnf(c_0_436,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_435]),c_0_182]),c_0_96]),c_0_228]),c_0_102]),c_0_70]),c_0_426]),c_0_114]) ).

cnf(c_0_437,plain,
    sum(n1,n7) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_438,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_436]),c_0_133]),c_0_102]),c_0_186]),c_0_8]),c_0_71]),c_0_437]),c_0_119]) ).

cnf(c_0_439,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_438]),c_0_61]),c_0_8]),c_0_138]),c_0_10]),c_0_150]),c_0_73]),c_0_124]) ).

cnf(c_0_440,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_439]),c_0_414]),c_0_10]),c_0_68]),c_0_17]),c_0_204]),c_0_151]),c_0_129]) ).

cnf(c_0_441,plain,
    sum(n7,n7) = n14,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_442,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_440]),c_0_416]),c_0_17]),c_0_441]),c_0_24]),c_0_252]),c_0_205]),c_0_134]) ).

cnf(c_0_443,plain,
    sum(n6,n7) = n13,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_444,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_442]),c_0_418]),c_0_24]),c_0_443]),c_0_31]),c_0_294]),c_0_253]),c_0_139]) ).

cnf(c_0_445,plain,
    sum(n5,n7) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_446,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_444]),c_0_420]),c_0_31]),c_0_445]),c_0_38]),c_0_331]),c_0_295]),c_0_144]) ).

cnf(c_0_447,plain,
    sum(n4,n7) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_448,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_446]),c_0_422]),c_0_38]),c_0_447]),c_0_45]),c_0_362]),c_0_43]),c_0_109]) ).

cnf(c_0_449,plain,
    sum(n3,n7) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_450,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_448]),c_0_424]),c_0_45]),c_0_449]),c_0_52]),c_0_390]),c_0_51]),c_0_114]) ).

cnf(c_0_451,plain,
    sum(n2,n7) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_452,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_450]),c_0_426]),c_0_52]),c_0_451]),c_0_59]),c_0_416]),c_0_141]),c_0_119]) ).

cnf(c_0_453,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_452]),c_0_412]),c_0_59]),c_0_437]),c_0_66]),c_0_441]),c_0_200]),c_0_124]) ).

cnf(c_0_454,plain,
    succ(n6) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_455,plain,
    ( sum(pred(sum(esk1_0,n7)),sum(n6,pred(sum(esk1_0,n6)))) = esk3_0
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_453]),c_0_454]) ).

cnf(c_0_456,plain,
    ( esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_453]),c_0_454]),c_0_67]),c_0_72]),c_0_73]),c_0_78]),c_0_80]),c_0_333]),c_0_62]) ).

cnf(c_0_457,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_142]),c_0_78]),c_0_147]),c_0_84]),c_0_152]),c_0_367]),c_0_12]) ).

cnf(c_0_458,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_457]),c_0_193]),c_0_84]),c_0_197]),c_0_90]),c_0_202]),c_0_396]),c_0_20]) ).

cnf(c_0_459,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_458]),c_0_238]),c_0_90]),c_0_242]),c_0_96]),c_0_247]),c_0_424]),c_0_27]) ).

cnf(c_0_460,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_459]),c_0_269]),c_0_96]),c_0_282]),c_0_102]),c_0_76]),c_0_451]),c_0_34]) ).

cnf(c_0_461,plain,
    sum(n1,n6) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_462,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_460]),c_0_228]),c_0_102]),c_0_272]),c_0_8]),c_0_77]),c_0_461]),c_0_41]) ).

cnf(c_0_463,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_462]),c_0_186]),c_0_8]),c_0_231]),c_0_10]),c_0_154]),c_0_79]),c_0_48]) ).

cnf(c_0_464,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_463]),c_0_138]),c_0_10]),c_0_190]),c_0_17]),c_0_208]),c_0_155]),c_0_55]) ).

cnf(c_0_465,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_464]),c_0_68]),c_0_17]),c_0_143]),c_0_24]),c_0_255]),c_0_209]),c_0_62]) ).

cnf(c_0_466,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_465]),c_0_441]),c_0_24]),c_0_74]),c_0_31]),c_0_297]),c_0_256]),c_0_12]) ).

cnf(c_0_467,plain,
    sum(n6,n6) = n12,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_468,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_466]),c_0_443]),c_0_31]),c_0_467]),c_0_38]),c_0_333]),c_0_36]),c_0_20]) ).

cnf(c_0_469,plain,
    sum(n5,n6) = n11,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_470,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_468]),c_0_445]),c_0_38]),c_0_469]),c_0_45]),c_0_365]),c_0_44]),c_0_27]) ).

cnf(c_0_471,plain,
    sum(n4,n6) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_472,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_470]),c_0_447]),c_0_45]),c_0_471]),c_0_52]),c_0_392]),c_0_136]),c_0_34]) ).

cnf(c_0_473,plain,
    sum(n3,n6) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_474,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_472]),c_0_449]),c_0_52]),c_0_473]),c_0_59]),c_0_418]),c_0_196]),c_0_41]) ).

cnf(c_0_475,plain,
    sum(n2,n6) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_476,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_474]),c_0_451]),c_0_59]),c_0_475]),c_0_66]),c_0_443]),c_0_249]),c_0_48]) ).

cnf(c_0_477,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_476]),c_0_437]),c_0_66]),c_0_461]),c_0_72]),c_0_467]),c_0_294]),c_0_55]) ).

cnf(c_0_478,plain,
    succ(n5) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_479,plain,
    ( sum(pred(sum(esk1_0,n6)),sum(n5,pred(sum(esk1_0,n5)))) = esk3_0
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_477]),c_0_478]) ).

cnf(c_0_480,plain,
    ( esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_477]),c_0_478]),c_0_73]),c_0_78]),c_0_79]),c_0_84]),c_0_86]),c_0_394]),c_0_144]) ).

cnf(c_0_481,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_480]),c_0_147]),c_0_84]),c_0_151]),c_0_90]),c_0_156]),c_0_422]),c_0_109]) ).

cnf(c_0_482,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_481]),c_0_197]),c_0_90]),c_0_201]),c_0_96]),c_0_206]),c_0_449]),c_0_114]) ).

cnf(c_0_483,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_482]),c_0_242]),c_0_96]),c_0_246]),c_0_102]),c_0_82]),c_0_475]),c_0_119]) ).

cnf(c_0_484,plain,
    sum(n1,n5) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_485,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_483]),c_0_282]),c_0_102]),c_0_286]),c_0_8]),c_0_83]),c_0_484]),c_0_124]) ).

cnf(c_0_486,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_485]),c_0_272]),c_0_8]),c_0_310]),c_0_10]),c_0_158]),c_0_85]),c_0_129]) ).

cnf(c_0_487,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_486]),c_0_231]),c_0_10]),c_0_274]),c_0_17]),c_0_211]),c_0_159]),c_0_134]) ).

cnf(c_0_488,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_487]),c_0_190]),c_0_17]),c_0_235]),c_0_24]),c_0_258]),c_0_212]),c_0_139]) ).

cnf(c_0_489,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_488]),c_0_143]),c_0_24]),c_0_194]),c_0_31]),c_0_299]),c_0_29]),c_0_144]) ).

cnf(c_0_490,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_489]),c_0_74]),c_0_31]),c_0_148]),c_0_38]),c_0_336]),c_0_37]),c_0_109]) ).

cnf(c_0_491,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_490]),c_0_467]),c_0_38]),c_0_80]),c_0_45]),c_0_367]),c_0_131]),c_0_114]) ).

cnf(c_0_492,plain,
    sum(n5,n5) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_493,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_491]),c_0_469]),c_0_45]),c_0_492]),c_0_52]),c_0_394]),c_0_192]),c_0_119]) ).

cnf(c_0_494,plain,
    sum(n4,n5) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_495,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_493]),c_0_471]),c_0_52]),c_0_494]),c_0_59]),c_0_420]),c_0_245]),c_0_124]) ).

cnf(c_0_496,plain,
    sum(n3,n5) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_497,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_495]),c_0_473]),c_0_59]),c_0_496]),c_0_66]),c_0_445]),c_0_291]),c_0_129]) ).

cnf(c_0_498,plain,
    sum(n2,n5) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_499,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_497]),c_0_475]),c_0_66]),c_0_498]),c_0_72]),c_0_469]),c_0_331]),c_0_134]) ).

cnf(c_0_500,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_499]),c_0_461]),c_0_72]),c_0_484]),c_0_78]),c_0_492]),c_0_365]),c_0_139]) ).

cnf(c_0_501,plain,
    succ(n4) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_502,plain,
    ( sum(pred(sum(esk1_0,n5)),sum(n4,pred(sum(esk1_0,n4)))) = esk3_0
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_500]),c_0_501]) ).

cnf(c_0_503,plain,
    ( esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_500]),c_0_501]),c_0_79]),c_0_84]),c_0_85]),c_0_90]),c_0_92]),c_0_447]),c_0_27]) ).

cnf(c_0_504,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_503]),c_0_151]),c_0_90]),c_0_155]),c_0_96]),c_0_160]),c_0_473]),c_0_34]) ).

cnf(c_0_505,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_504]),c_0_201]),c_0_96]),c_0_205]),c_0_102]),c_0_88]),c_0_498]),c_0_41]) ).

cnf(c_0_506,plain,
    sum(n1,n4) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_507,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_505]),c_0_246]),c_0_102]),c_0_250]),c_0_8]),c_0_89]),c_0_506]),c_0_48]) ).

cnf(c_0_508,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_507]),c_0_286]),c_0_8]),c_0_289]),c_0_10]),c_0_162]),c_0_91]),c_0_55]) ).

cnf(c_0_509,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_508]),c_0_310]),c_0_10]),c_0_323]),c_0_17]),c_0_214]),c_0_163]),c_0_62]) ).

cnf(c_0_510,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_509]),c_0_274]),c_0_17]),c_0_313]),c_0_24]),c_0_260]),c_0_22]),c_0_12]) ).

cnf(c_0_511,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_510]),c_0_235]),c_0_24]),c_0_276]),c_0_31]),c_0_302]),c_0_30]),c_0_20]) ).

cnf(c_0_512,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_511]),c_0_194]),c_0_31]),c_0_239]),c_0_38]),c_0_338]),c_0_126]),c_0_27]) ).

cnf(c_0_513,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_512]),c_0_148]),c_0_38]),c_0_198]),c_0_45]),c_0_369]),c_0_188]),c_0_34]) ).

cnf(c_0_514,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_513]),c_0_80]),c_0_45]),c_0_152]),c_0_52]),c_0_396]),c_0_241]),c_0_41]) ).

cnf(c_0_515,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_514]),c_0_492]),c_0_52]),c_0_86]),c_0_59]),c_0_422]),c_0_288]),c_0_48]) ).

cnf(c_0_516,plain,
    sum(n4,n4) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_517,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_515]),c_0_494]),c_0_59]),c_0_516]),c_0_66]),c_0_447]),c_0_328]),c_0_55]) ).

cnf(c_0_518,plain,
    sum(n3,n4) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_519,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_517]),c_0_496]),c_0_66]),c_0_518]),c_0_72]),c_0_471]),c_0_362]),c_0_62]) ).

cnf(c_0_520,plain,
    sum(n2,n4) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_521,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_519]),c_0_498]),c_0_72]),c_0_520]),c_0_78]),c_0_494]),c_0_392]),c_0_12]) ).

cnf(c_0_522,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_521]),c_0_484]),c_0_78]),c_0_506]),c_0_84]),c_0_516]),c_0_420]),c_0_20]) ).

cnf(c_0_523,plain,
    succ(n3) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_524,plain,
    ( sum(pred(sum(esk1_0,n4)),sum(n3,pred(sum(esk1_0,n3)))) = esk3_0
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_522]),c_0_523]) ).

cnf(c_0_525,plain,
    ( esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_522]),c_0_523]),c_0_85]),c_0_90]),c_0_91]),c_0_96]),c_0_98]),c_0_496]),c_0_119]) ).

cnf(c_0_526,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_525]),c_0_155]),c_0_96]),c_0_159]),c_0_102]),c_0_94]),c_0_520]),c_0_124]) ).

cnf(c_0_527,plain,
    sum(n1,n3) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_528,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_526]),c_0_205]),c_0_102]),c_0_209]),c_0_8]),c_0_95]),c_0_527]),c_0_129]) ).

cnf(c_0_529,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_528]),c_0_250]),c_0_8]),c_0_253]),c_0_10]),c_0_165]),c_0_97]),c_0_134]) ).

cnf(c_0_530,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_529]),c_0_289]),c_0_10]),c_0_292]),c_0_17]),c_0_216]),c_0_15]),c_0_139]) ).

cnf(c_0_531,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_530]),c_0_323]),c_0_17]),c_0_326]),c_0_24]),c_0_263]),c_0_23]),c_0_144]) ).

cnf(c_0_532,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_531]),c_0_313]),c_0_24]),c_0_346]),c_0_31]),c_0_304]),c_0_121]),c_0_109]) ).

cnf(c_0_533,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_532]),c_0_276]),c_0_31]),c_0_315]),c_0_38]),c_0_340]),c_0_184]),c_0_114]) ).

cnf(c_0_534,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_533]),c_0_239]),c_0_38]),c_0_279]),c_0_45]),c_0_371]),c_0_237]),c_0_119]) ).

cnf(c_0_535,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_534]),c_0_198]),c_0_45]),c_0_243]),c_0_52]),c_0_398]),c_0_285]),c_0_124]) ).

cnf(c_0_536,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_535]),c_0_152]),c_0_52]),c_0_202]),c_0_59]),c_0_424]),c_0_325]),c_0_129]) ).

cnf(c_0_537,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_536]),c_0_86]),c_0_59]),c_0_156]),c_0_66]),c_0_449]),c_0_360]),c_0_134]) ).

cnf(c_0_538,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_537]),c_0_516]),c_0_66]),c_0_92]),c_0_72]),c_0_473]),c_0_390]),c_0_139]) ).

cnf(c_0_539,plain,
    sum(n3,n3) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_540,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_538]),c_0_518]),c_0_72]),c_0_539]),c_0_78]),c_0_496]),c_0_418]),c_0_144]) ).

cnf(c_0_541,plain,
    sum(n2,n3) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_542,plain,
    ( esk1_0 = n1
    | esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_540]),c_0_520]),c_0_78]),c_0_541]),c_0_84]),c_0_518]),c_0_445]),c_0_109]) ).

cnf(c_0_543,plain,
    ( esk2_0 = n1
    | esk2_0 = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_542]),c_0_506]),c_0_84]),c_0_527]),c_0_90]),c_0_539]),c_0_471]),c_0_114]) ).

cnf(c_0_544,plain,
    succ(n2) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_545,plain,
    ( sum(pred(sum(esk1_0,n3)),sum(n2,pred(sum(esk1_0,n2)))) = esk3_0
    | esk2_0 = n1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_543]),c_0_544]) ).

cnf(c_0_546,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_543]),c_0_544]),c_0_91]),c_0_96]),c_0_97]),c_0_102]),c_0_100]),c_0_541]),c_0_48]) ).

cnf(c_0_547,plain,
    sum(n1,n2) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_548,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_546]),c_0_159]),c_0_102]),c_0_163]),c_0_8]),c_0_101]),c_0_547]),c_0_55]) ).

cnf(c_0_549,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_548]),c_0_209]),c_0_8]),c_0_212]),c_0_10]),c_0_167]),c_0_7]),c_0_62]) ).

cnf(c_0_550,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_549]),c_0_253]),c_0_10]),c_0_256]),c_0_17]),c_0_219]),c_0_16]),c_0_12]) ).

cnf(c_0_551,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_550]),c_0_292]),c_0_17]),c_0_295]),c_0_24]),c_0_265]),c_0_116]),c_0_20]) ).

cnf(c_0_552,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_551]),c_0_326]),c_0_24]),c_0_329]),c_0_31]),c_0_306]),c_0_180]),c_0_27]) ).

cnf(c_0_553,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_552]),c_0_346]),c_0_31]),c_0_358]),c_0_38]),c_0_342]),c_0_233]),c_0_34]) ).

cnf(c_0_554,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_553]),c_0_315]),c_0_38]),c_0_349]),c_0_45]),c_0_373]),c_0_281]),c_0_41]) ).

cnf(c_0_555,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_554]),c_0_279]),c_0_45]),c_0_317]),c_0_52]),c_0_400]),c_0_322]),c_0_48]) ).

cnf(c_0_556,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_555]),c_0_243]),c_0_52]),c_0_283]),c_0_59]),c_0_426]),c_0_357]),c_0_55]) ).

cnf(c_0_557,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_556]),c_0_202]),c_0_59]),c_0_247]),c_0_66]),c_0_451]),c_0_387]),c_0_62]) ).

cnf(c_0_558,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_557]),c_0_156]),c_0_66]),c_0_206]),c_0_72]),c_0_475]),c_0_416]),c_0_12]) ).

cnf(c_0_559,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_558]),c_0_92]),c_0_72]),c_0_160]),c_0_78]),c_0_498]),c_0_443]),c_0_20]) ).

cnf(c_0_560,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_559]),c_0_539]),c_0_78]),c_0_98]),c_0_84]),c_0_520]),c_0_469]),c_0_27]) ).

cnf(c_0_561,plain,
    sum(n2,n2) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_562,plain,
    ( esk1_0 = n1
    | esk2_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_560]),c_0_541]),c_0_84]),c_0_561]),c_0_90]),c_0_541]),c_0_494]),c_0_34]) ).

cnf(c_0_563,plain,
    esk2_0 = n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_562]),c_0_527]),c_0_90]),c_0_547]),c_0_96]),c_0_561]),c_0_518]),c_0_41]) ).

cnf(c_0_564,plain,
    succ(n1) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_565,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13
    | esk1_0 = n14
    | esk1_0 = n15 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_563]),c_0_564]),c_0_97]),c_0_102]),c_0_7]),c_0_8]),c_0_105]),c_0_104]),c_0_134]) ).

cnf(c_0_566,plain,
    ( esk1_0 = n14
    | esk1_0 = n13
    | esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_565]),c_0_563]),c_0_564]),c_0_163]),c_0_8]),c_0_563]),c_0_563]),c_0_15]),c_0_10]),c_0_168]),c_0_9]),c_0_139]) ).

cnf(c_0_567,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11
    | esk1_0 = n12
    | esk1_0 = n13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_566]),c_0_563]),c_0_564]),c_0_212]),c_0_10]),c_0_563]),c_0_563]),c_0_22]),c_0_17]),c_0_217]),c_0_112]),c_0_144]) ).

cnf(c_0_568,plain,
    ( esk1_0 = n12
    | esk1_0 = n11
    | esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_567]),c_0_563]),c_0_564]),c_0_256]),c_0_17]),c_0_563]),c_0_563]),c_0_29]),c_0_24]),c_0_261]),c_0_177]),c_0_109]) ).

cnf(c_0_569,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9
    | esk1_0 = n10
    | esk1_0 = n11 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_568]),c_0_563]),c_0_564]),c_0_295]),c_0_24]),c_0_563]),c_0_563]),c_0_36]),c_0_31]),c_0_300]),c_0_230]),c_0_114]) ).

cnf(c_0_570,plain,
    ( esk1_0 = n10
    | esk1_0 = n9
    | esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_569]),c_0_563]),c_0_564]),c_0_329]),c_0_31]),c_0_563]),c_0_563]),c_0_43]),c_0_38]),c_0_334]),c_0_278]),c_0_119]) ).

cnf(c_0_571,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8
    | esk1_0 = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_570]),c_0_563]),c_0_564]),c_0_358]),c_0_38]),c_0_563]),c_0_563]),c_0_50]),c_0_45]),c_0_363]),c_0_320]),c_0_124]) ).

cnf(c_0_572,plain,
    ( esk1_0 = n8
    | esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_571]),c_0_563]),c_0_564]),c_0_349]),c_0_45]),c_0_563]),c_0_563]),c_0_57]),c_0_52]),c_0_388]),c_0_355]),c_0_129]) ).

cnf(c_0_573,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_572]),c_0_563]),c_0_564]),c_0_317]),c_0_52]),c_0_563]),c_0_563]),c_0_64]),c_0_59]),c_0_412]),c_0_385]),c_0_134]) ).

cnf(c_0_574,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_573]),c_0_563]),c_0_564]),c_0_283]),c_0_59]),c_0_563]),c_0_563]),c_0_70]),c_0_66]),c_0_437]),c_0_414]),c_0_139]) ).

cnf(c_0_575,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_574]),c_0_563]),c_0_564]),c_0_247]),c_0_66]),c_0_563]),c_0_563]),c_0_76]),c_0_72]),c_0_461]),c_0_441]),c_0_144]) ).

cnf(c_0_576,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_575]),c_0_563]),c_0_564]),c_0_206]),c_0_72]),c_0_563]),c_0_563]),c_0_82]),c_0_78]),c_0_484]),c_0_467]),c_0_109]) ).

cnf(c_0_577,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_576]),c_0_563]),c_0_564]),c_0_160]),c_0_78]),c_0_563]),c_0_563]),c_0_88]),c_0_84]),c_0_506]),c_0_492]),c_0_114]) ).

cnf(c_0_578,plain,
    ( esk1_0 = n2
    | esk1_0 = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_577]),c_0_563]),c_0_564]),c_0_98]),c_0_84]),c_0_563]),c_0_563]),c_0_94]),c_0_90]),c_0_527]),c_0_516]),c_0_119]) ).

cnf(c_0_579,plain,
    esk1_0 = n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_578]),c_0_563]),c_0_564]),c_0_561]),c_0_90]),c_0_563]),c_0_563]),c_0_100]),c_0_96]),c_0_547]),c_0_539]),c_0_124]) ).

cnf(c_0_580,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_579]),c_0_563]),c_0_564]),c_0_547]),c_0_96]),c_0_563]),c_0_563]),c_0_104]),c_0_102]),c_0_104]),c_0_561]),c_0_129]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM375+1.015 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n025.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    : 300
% 0.13/0.34  % DateTime   : Fri Aug 25 15:28:07 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 0.20/0.64  % Version  : CSE_E---1.5
% 0.20/0.64  % Problem  : theBenchmark.p
% 0.20/0.64  % Proof found
% 0.20/0.64  % SZS status Theorem for theBenchmark.p
% 0.20/0.64  % SZS output start Proof
% See solution above
% 0.20/0.67  % Total time : 0.068000 s
% 0.20/0.67  % SZS output end Proof
% 0.20/0.67  % Total time : 0.074000 s
%------------------------------------------------------------------------------