%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NUM376+1.010 : 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 : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 10:28:25 EDT 2023

% Result   : Unsatisfiable 0.20s 0.60s
% 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,
    pred: $i > $i ).

tff(decl_35,type,
    sum: ( $i * $i ) > $i ).

tff(decl_36,type,
    esk1_0: $i ).

tff(decl_37,type,
    esk2_0: $i ).

fof(try_satisfy_this,axiom,
    ? [X1,X2] :
      ( 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) = n0
      & pred(n0) = n10
      & 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
      & 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(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) = 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) = n0
      & sum(n2,n10) = 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) = n0
      & sum(n3,n9) = n1
      & sum(n3,n10) = 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) = n0
      & sum(n4,n8) = n1
      & sum(n4,n9) = n2
      & sum(n4,n10) = 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) = n0
      & sum(n5,n7) = n1
      & sum(n5,n8) = n2
      & sum(n5,n9) = n3
      & sum(n5,n10) = n4
      & sum(n6,n0) = n6
      & sum(n6,n1) = n7
      & sum(n6,n2) = n8
      & sum(n6,n3) = n9
      & sum(n6,n4) = n10
      & sum(n6,n5) = n0
      & sum(n6,n6) = n1
      & sum(n6,n7) = n2
      & sum(n6,n8) = n3
      & sum(n6,n9) = n4
      & sum(n6,n10) = n5
      & sum(n7,n0) = n7
      & sum(n7,n1) = n8
      & sum(n7,n2) = n9
      & sum(n7,n3) = n10
      & sum(n7,n4) = n0
      & sum(n7,n5) = n1
      & sum(n7,n6) = n2
      & sum(n7,n7) = n3
      & sum(n7,n8) = n4
      & sum(n7,n9) = n5
      & sum(n7,n10) = n6
      & sum(n8,n0) = n8
      & sum(n8,n1) = n9
      & sum(n8,n2) = n10
      & sum(n8,n3) = n0
      & sum(n8,n4) = n1
      & sum(n8,n5) = n2
      & sum(n8,n6) = n3
      & sum(n8,n7) = n4
      & sum(n8,n8) = n5
      & sum(n8,n9) = n6
      & sum(n8,n10) = n7
      & sum(n9,n0) = n9
      & sum(n9,n1) = n10
      & sum(n9,n2) = n0
      & sum(n9,n3) = n1
      & sum(n9,n4) = n2
      & sum(n9,n5) = n3
      & sum(n9,n6) = n4
      & sum(n9,n7) = n5
      & sum(n9,n8) = n6
      & sum(n9,n9) = n7
      & sum(n9,n10) = n8
      & sum(n10,n0) = n10
      & sum(n10,n1) = n0
      & sum(n10,n2) = n1
      & sum(n10,n3) = n2
      & sum(n10,n4) = n3
      & sum(n10,n5) = n4
      & sum(n10,n6) = n5
      & sum(n10,n7) = n6
      & sum(n10,n8) = n7
      & sum(n10,n9) = n8
      & sum(n10,n10) = n9
      & ( X1 = n0
        | X1 = n1
        | X1 = n2
        | X1 = n3
        | X1 = n4
        | X1 = n5
        | X1 = n6
        | X1 = n7
        | X1 = n8
        | X1 = n9
        | X1 = n10 )
      & ( X2 = n0
        | X2 = n1
        | X2 = n2
        | X2 = n3
        | X2 = n4
        | X2 = n5
        | X2 = n6
        | X2 = n7
        | X2 = n8
        | X2 = n9
        | X2 = n10 )
      & sum(sum(pred(X1),succ(X2)),sum(pred(X2),succ(X1))) != sum(sum(pred(X1),succ(X1)),sum(pred(X2),succ(X2)))
      & n0 != n1
      & n0 != n2
      & n0 != n3
      & n0 != n4
      & n0 != n5
      & n0 != n6
      & n0 != n7
      & n0 != n8
      & n0 != n9
      & n0 != n10
      & n1 != n2
      & n1 != n3
      & n1 != n4
      & n1 != n5
      & n1 != n6
      & n1 != n7
      & n1 != n8
      & n1 != n9
      & n1 != n10
      & n2 != n3
      & n2 != n4
      & n2 != n5
      & n2 != n6
      & n2 != n7
      & n2 != n8
      & n2 != n9
      & n2 != n10
      & n3 != n4
      & n3 != n5
      & n3 != n6
      & n3 != n7
      & n3 != n8
      & n3 != n9
      & n3 != n10
      & n4 != n5
      & n4 != n6
      & n4 != n7
      & n4 != n8
      & n4 != n9
      & n4 != n10
      & n5 != n6
      & n5 != n7
      & n5 != n8
      & n5 != n9
      & n5 != n10
      & n6 != n7
      & n6 != n8
      & n6 != n9
      & n6 != n10
      & n7 != n8
      & n7 != n9
      & n7 != n10
      & n8 != n9
      & n8 != n10
      & n9 != n10 ),
    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) = n0
    & pred(n0) = n10
    & 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
    & 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(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) = 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) = n0
    & sum(n2,n10) = 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) = n0
    & sum(n3,n9) = n1
    & sum(n3,n10) = 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) = n0
    & sum(n4,n8) = n1
    & sum(n4,n9) = n2
    & sum(n4,n10) = 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) = n0
    & sum(n5,n7) = n1
    & sum(n5,n8) = n2
    & sum(n5,n9) = n3
    & sum(n5,n10) = n4
    & sum(n6,n0) = n6
    & sum(n6,n1) = n7
    & sum(n6,n2) = n8
    & sum(n6,n3) = n9
    & sum(n6,n4) = n10
    & sum(n6,n5) = n0
    & sum(n6,n6) = n1
    & sum(n6,n7) = n2
    & sum(n6,n8) = n3
    & sum(n6,n9) = n4
    & sum(n6,n10) = n5
    & sum(n7,n0) = n7
    & sum(n7,n1) = n8
    & sum(n7,n2) = n9
    & sum(n7,n3) = n10
    & sum(n7,n4) = n0
    & sum(n7,n5) = n1
    & sum(n7,n6) = n2
    & sum(n7,n7) = n3
    & sum(n7,n8) = n4
    & sum(n7,n9) = n5
    & sum(n7,n10) = n6
    & sum(n8,n0) = n8
    & sum(n8,n1) = n9
    & sum(n8,n2) = n10
    & sum(n8,n3) = n0
    & sum(n8,n4) = n1
    & sum(n8,n5) = n2
    & sum(n8,n6) = n3
    & sum(n8,n7) = n4
    & sum(n8,n8) = n5
    & sum(n8,n9) = n6
    & sum(n8,n10) = n7
    & sum(n9,n0) = n9
    & sum(n9,n1) = n10
    & sum(n9,n2) = n0
    & sum(n9,n3) = n1
    & sum(n9,n4) = n2
    & sum(n9,n5) = n3
    & sum(n9,n6) = n4
    & sum(n9,n7) = n5
    & sum(n9,n8) = n6
    & sum(n9,n9) = n7
    & sum(n9,n10) = n8
    & sum(n10,n0) = n10
    & sum(n10,n1) = n0
    & sum(n10,n2) = n1
    & sum(n10,n3) = n2
    & sum(n10,n4) = n3
    & sum(n10,n5) = n4
    & sum(n10,n6) = n5
    & sum(n10,n7) = n6
    & sum(n10,n8) = n7
    & sum(n10,n9) = n8
    & sum(n10,n10) = n9
    & ( 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 )
    & ( 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 )
    & sum(sum(pred(esk1_0),succ(esk2_0)),sum(pred(esk2_0),succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),sum(pred(esk2_0),succ(esk2_0)))
    & n0 != n1
    & n0 != n2
    & n0 != n3
    & n0 != n4
    & n0 != n5
    & n0 != n6
    & n0 != n7
    & n0 != n8
    & n0 != n9
    & n0 != n10
    & n1 != n2
    & n1 != n3
    & n1 != n4
    & n1 != n5
    & n1 != n6
    & n1 != n7
    & n1 != n8
    & n1 != n9
    & n1 != n10
    & n2 != n3
    & n2 != n4
    & n2 != n5
    & n2 != n6
    & n2 != n7
    & n2 != n8
    & n2 != n9
    & n2 != n10
    & n3 != n4
    & n3 != n5
    & n3 != n6
    & n3 != n7
    & n3 != n8
    & n3 != n9
    & n3 != n10
    & n4 != n5
    & n4 != n6
    & n4 != n7
    & n4 != n8
    & n4 != n9
    & n4 != n10
    & n5 != n6
    & n5 != n7
    & n5 != n8
    & n5 != n9
    & n5 != n10
    & n6 != n7
    & n6 != n8
    & n6 != n9
    & n6 != n10
    & n7 != n8
    & n7 != n9
    & n7 != n10
    & n8 != n9
    & n8 != n10
    & n9 != n10 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[try_satisfy_this])]) ).

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

cnf(c_0_4,plain,
    pred(n0) = n10,
    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(n10,n1) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_7,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
    | sum(sum(n10,succ(esk2_0)),sum(pred(esk2_0),n1)) != sum(n0,sum(pred(esk2_0),succ(esk2_0))) ),
    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_3]),c_0_4]),c_0_5]),c_0_4]),c_0_5]),c_0_6]) ).

cnf(c_0_8,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 ),
    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,
    ( 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 ),
    inference(cn,[status(thm)],[inference(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_7,c_0_8]),c_0_5]),c_0_6]),c_0_4]),c_0_6]),c_0_9]),c_0_4]),c_0_5]),c_0_6]),c_0_9])]) ).

cnf(c_0_11,plain,
    succ(n10) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_12,plain,
    sum(n10,n0) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_13,plain,
    pred(n10) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_14,plain,
    sum(n9,n1) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_15,plain,
    sum(n10,n10) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_16,plain,
    sum(n9,n0) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_17,plain,
    sum(n0,n9) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_18,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
    | 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 ),
    inference(cn,[status(thm)],[inference(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_7,c_0_10]),c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_13]),c_0_11]),c_0_16]),c_0_17])]) ).

cnf(c_0_19,plain,
    succ(n9) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_20,plain,
    pred(n9) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_21,plain,
    sum(n8,n1) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_22,plain,
    sum(n9,n9) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_23,plain,
    sum(n8,n10) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_24,plain,
    sum(n0,n7) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_25,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 ),
    inference(cn,[status(thm)],[inference(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_7,c_0_18]),c_0_19]),c_0_15]),c_0_20]),c_0_21]),c_0_22]),c_0_20]),c_0_19]),c_0_23]),c_0_24])]) ).

cnf(c_0_26,plain,
    succ(n8) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_27,plain,
    sum(n10,n9) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_28,plain,
    pred(n8) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_29,plain,
    sum(n7,n1) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_30,plain,
    sum(n8,n8) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_31,plain,
    sum(n7,n9) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_32,plain,
    sum(n0,n5) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_33,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk2_0 = n7
    | 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 ),
    inference(cn,[status(thm)],[inference(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_7,c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_28]),c_0_26]),c_0_31]),c_0_32])]) ).

cnf(c_0_34,plain,
    succ(n7) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_35,plain,
    sum(n10,n8) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_36,plain,
    pred(n7) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_37,plain,
    sum(n6,n1) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_38,plain,
    sum(n7,n7) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_39,plain,
    sum(n6,n8) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_40,plain,
    sum(n0,n3) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_41,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 ),
    inference(cn,[status(thm)],[inference(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_7,c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_36]),c_0_34]),c_0_39]),c_0_40])]) ).

cnf(c_0_42,plain,
    succ(n6) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_43,plain,
    sum(n10,n7) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_44,plain,
    pred(n6) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_45,plain,
    sum(n5,n1) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_46,plain,
    sum(n6,n6) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_47,plain,
    sum(n5,n7) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_48,plain,
    sum(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_49,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | 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 ),
    inference(cn,[status(thm)],[inference(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_7,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_44]),c_0_42]),c_0_47]),c_0_48])]) ).

cnf(c_0_50,plain,
    succ(n5) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_51,plain,
    sum(n10,n6) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_52,plain,
    pred(n5) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_53,plain,
    sum(n4,n1) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_54,plain,
    sum(n5,n5) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_55,plain,
    sum(n4,n6) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_56,plain,
    sum(n0,n10) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_57,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 ),
    inference(cn,[status(thm)],[inference(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_7,c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_52]),c_0_50]),c_0_55]),c_0_56])]) ).

cnf(c_0_58,plain,
    succ(n4) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_59,plain,
    sum(n10,n5) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_60,plain,
    pred(n4) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_61,plain,
    sum(n3,n1) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_62,plain,
    sum(n4,n4) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_63,plain,
    sum(n3,n5) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_64,plain,
    sum(n0,n8) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_65,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | 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 ),
    inference(cn,[status(thm)],[inference(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_7,c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_60]),c_0_58]),c_0_63]),c_0_64])]) ).

cnf(c_0_66,plain,
    succ(n3) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_67,plain,
    sum(n10,n4) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_68,plain,
    pred(n3) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_69,plain,
    sum(n2,n1) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_70,plain,
    sum(n3,n3) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_71,plain,
    sum(n2,n4) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_72,plain,
    sum(n0,n6) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_73,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 ),
    inference(cn,[status(thm)],[inference(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_7,c_0_65]),c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_70]),c_0_68]),c_0_66]),c_0_71]),c_0_72])]) ).

cnf(c_0_74,plain,
    succ(n2) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_75,plain,
    sum(n10,n3) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_76,plain,
    pred(n2) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_77,plain,
    sum(n1,n1) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_78,plain,
    sum(n2,n2) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_79,plain,
    sum(n1,n3) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_80,plain,
    sum(n0,n4) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_81,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 ),
    inference(cn,[status(thm)],[inference(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_7,c_0_73]),c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_76]),c_0_74]),c_0_79]),c_0_80])]) ).

cnf(c_0_82,plain,
    succ(n1) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_83,plain,
    sum(n10,n2) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_84,plain,
    pred(n1) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_85,plain,
    sum(n0,n2) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_86,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 ),
    inference(cn,[status(thm)],[inference(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_7,c_0_81]),c_0_82]),c_0_83]),c_0_84]),c_0_48]),c_0_77]),c_0_84]),c_0_82]),c_0_85]),c_0_85])]) ).

cnf(c_0_87,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
    | sum(sum(pred(esk1_0),n1),sum(n10,succ(esk1_0))) != sum(sum(pred(esk1_0),succ(esk1_0)),n0) ),
    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_8]),c_0_5]),c_0_4]),c_0_4]),c_0_5]),c_0_6]) ).

cnf(c_0_88,plain,
    ( 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
    | sum(sum(n9,succ(esk2_0)),sum(pred(esk2_0),n0)) != sum(n9,sum(pred(esk2_0),succ(esk2_0))) ),
    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_86]),c_0_13]),c_0_11]),c_0_13]),c_0_11]),c_0_16]) ).

cnf(c_0_89,plain,
    ( 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(cn,[status(thm)],[inference(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_87,c_0_86]),c_0_13]),c_0_14]),c_0_11]),c_0_12]),c_0_15]),c_0_13]),c_0_11]),c_0_16]),c_0_16])]) ).

cnf(c_0_90,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 ),
    inference(cn,[status(thm)],[inference(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_88,c_0_89]),c_0_11]),c_0_16]),c_0_13]),c_0_16]),c_0_22]),c_0_13]),c_0_11]),c_0_16]),c_0_22])]) ).

cnf(c_0_91,plain,
    sum(n9,n10) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_92,plain,
    sum(n8,n0) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_93,plain,
    sum(n9,n7) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_94,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
    | 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(cn,[status(thm)],[inference(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_88,c_0_90]),c_0_19]),c_0_91]),c_0_20]),c_0_92]),c_0_30]),c_0_20]),c_0_19]),c_0_23]),c_0_93])]) ).

cnf(c_0_95,plain,
    sum(n7,n0) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_96,plain,
    sum(n9,n5) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_97,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 ),
    inference(cn,[status(thm)],[inference(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_88,c_0_94]),c_0_26]),c_0_22]),c_0_28]),c_0_95]),c_0_38]),c_0_28]),c_0_26]),c_0_31]),c_0_96])]) ).

cnf(c_0_98,plain,
    sum(n9,n8) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_99,plain,
    sum(n6,n0) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_100,plain,
    sum(n9,n3) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_101,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | 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(cn,[status(thm)],[inference(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_88,c_0_97]),c_0_34]),c_0_98]),c_0_36]),c_0_99]),c_0_46]),c_0_36]),c_0_34]),c_0_39]),c_0_100])]) ).

cnf(c_0_102,plain,
    sum(n5,n0) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_103,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 ),
    inference(cn,[status(thm)],[inference(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_88,c_0_101]),c_0_42]),c_0_93]),c_0_44]),c_0_102]),c_0_54]),c_0_44]),c_0_42]),c_0_47]),c_0_14])]) ).

cnf(c_0_104,plain,
    sum(n9,n6) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_105,plain,
    sum(n4,n0) = n4,
    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
    | 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(cn,[status(thm)],[inference(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_88,c_0_103]),c_0_50]),c_0_104]),c_0_52]),c_0_105]),c_0_62]),c_0_52]),c_0_50]),c_0_55]),c_0_91])]) ).

cnf(c_0_107,plain,
    sum(n3,n0) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_108,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 ),
    inference(cn,[status(thm)],[inference(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_88,c_0_106]),c_0_58]),c_0_96]),c_0_60]),c_0_107]),c_0_70]),c_0_60]),c_0_58]),c_0_63]),c_0_98])]) ).

cnf(c_0_109,plain,
    sum(n9,n4) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_110,plain,
    sum(n2,n0) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_111,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | 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(cn,[status(thm)],[inference(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_88,c_0_108]),c_0_66]),c_0_109]),c_0_68]),c_0_110]),c_0_78]),c_0_68]),c_0_66]),c_0_71]),c_0_104])]) ).

cnf(c_0_112,plain,
    sum(n1,n0) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_113,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 ),
    inference(cn,[status(thm)],[inference(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_88,c_0_111]),c_0_74]),c_0_100]),c_0_76]),c_0_112]),c_0_77]),c_0_76]),c_0_74]),c_0_79]),c_0_109])]) ).

cnf(c_0_114,plain,
    sum(n9,n2) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_115,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(cn,[status(thm)],[inference(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_88,c_0_113]),c_0_82]),c_0_114]),c_0_84]),c_0_9]),c_0_9]),c_0_84]),c_0_82]),c_0_85]),c_0_114])]) ).

cnf(c_0_116,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
    | sum(sum(n8,succ(esk2_0)),sum(pred(esk2_0),n10)) != sum(n7,sum(pred(esk2_0),succ(esk2_0))) ),
    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_115]),c_0_20]),c_0_19]),c_0_20]),c_0_19]),c_0_23]) ).

cnf(c_0_117,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(cn,[status(thm)],[inference(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_87,c_0_115]),c_0_20]),c_0_21]),c_0_19]),c_0_15]),c_0_22]),c_0_20]),c_0_19]),c_0_23]),c_0_95])]) ).

cnf(c_0_118,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 ),
    inference(cn,[status(thm)],[inference(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_116,c_0_117]),c_0_11]),c_0_92]),c_0_13]),c_0_91]),c_0_30]),c_0_13]),c_0_11]),c_0_16]),c_0_31])]) ).

cnf(c_0_119,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8 ),
    inference(cn,[status(thm)],[inference(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_116,c_0_118]),c_0_19]),c_0_23]),c_0_20]),c_0_23]),c_0_38]),c_0_20]),c_0_19]),c_0_23]),c_0_38])]) ).

cnf(c_0_120,plain,
    sum(n8,n9) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_121,plain,
    sum(n7,n10) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_122,plain,
    sum(n7,n5) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_123,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 ),
    inference(cn,[status(thm)],[inference(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_116,c_0_119]),c_0_26]),c_0_120]),c_0_28]),c_0_121]),c_0_46]),c_0_28]),c_0_26]),c_0_31]),c_0_122])]) ).

cnf(c_0_124,plain,
    sum(n6,n10) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_125,plain,
    sum(n7,n3) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_126,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8 ),
    inference(cn,[status(thm)],[inference(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_116,c_0_123]),c_0_34]),c_0_30]),c_0_36]),c_0_124]),c_0_54]),c_0_36]),c_0_34]),c_0_39]),c_0_125])]) ).

cnf(c_0_127,plain,
    sum(n8,n7) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_128,plain,
    sum(n5,n10) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_129,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 ),
    inference(cn,[status(thm)],[inference(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_116,c_0_126]),c_0_42]),c_0_127]),c_0_44]),c_0_128]),c_0_62]),c_0_44]),c_0_42]),c_0_47]),c_0_29])]) ).

cnf(c_0_130,plain,
    sum(n8,n6) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_131,plain,
    sum(n4,n10) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_132,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8 ),
    inference(cn,[status(thm)],[inference(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_116,c_0_129]),c_0_50]),c_0_130]),c_0_52]),c_0_131]),c_0_70]),c_0_52]),c_0_50]),c_0_55]),c_0_121])]) ).

cnf(c_0_133,plain,
    sum(n8,n5) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_134,plain,
    sum(n3,n10) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_135,plain,
    sum(n7,n8) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_136,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 ),
    inference(cn,[status(thm)],[inference(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_116,c_0_132]),c_0_58]),c_0_133]),c_0_60]),c_0_134]),c_0_78]),c_0_60]),c_0_58]),c_0_63]),c_0_135])]) ).

cnf(c_0_137,plain,
    sum(n8,n4) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_138,plain,
    sum(n2,n10) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_139,plain,
    sum(n7,n6) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_140,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7
    | esk1_0 = n8 ),
    inference(cn,[status(thm)],[inference(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_116,c_0_136]),c_0_66]),c_0_137]),c_0_68]),c_0_138]),c_0_77]),c_0_68]),c_0_66]),c_0_71]),c_0_139])]) ).

cnf(c_0_141,plain,
    sum(n8,n3) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_142,plain,
    sum(n1,n10) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_143,plain,
    sum(n7,n4) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_144,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 ),
    inference(cn,[status(thm)],[inference(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_116,c_0_140]),c_0_74]),c_0_141]),c_0_76]),c_0_142]),c_0_9]),c_0_76]),c_0_74]),c_0_79]),c_0_143])]) ).

cnf(c_0_145,plain,
    sum(n8,n2) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_146,plain,
    sum(n7,n2) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_147,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 ),
    inference(cn,[status(thm)],[inference(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_116,c_0_144]),c_0_82]),c_0_145]),c_0_84]),c_0_56]),c_0_15]),c_0_84]),c_0_82]),c_0_85]),c_0_146])]) ).

cnf(c_0_148,plain,
    ( esk1_0 = n7
    | esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n7,succ(esk2_0)),sum(pred(esk2_0),n9)) != sum(n5,sum(pred(esk2_0),succ(esk2_0))) ),
    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_147]),c_0_28]),c_0_26]),c_0_28]),c_0_26]),c_0_31]) ).

cnf(c_0_149,plain,
    ( 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(cn,[status(thm)],[inference(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_87,c_0_147]),c_0_28]),c_0_29]),c_0_26]),c_0_27]),c_0_30]),c_0_28]),c_0_26]),c_0_31]),c_0_102])]) ).

cnf(c_0_150,plain,
    sum(n5,n9) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_151,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 ),
    inference(cn,[status(thm)],[inference(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_148,c_0_149]),c_0_11]),c_0_95]),c_0_13]),c_0_22]),c_0_38]),c_0_13]),c_0_11]),c_0_16]),c_0_150])]) ).

cnf(c_0_152,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7 ),
    inference(cn,[status(thm)],[inference(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_148,c_0_151]),c_0_19]),c_0_121]),c_0_20]),c_0_120]),c_0_46]),c_0_20]),c_0_19]),c_0_23]),c_0_47])]) ).

cnf(c_0_153,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 ),
    inference(cn,[status(thm)],[inference(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_148,c_0_152]),c_0_26]),c_0_31]),c_0_28]),c_0_31]),c_0_54]),c_0_28]),c_0_26]),c_0_31]),c_0_54])]) ).

cnf(c_0_154,plain,
    sum(n6,n9) = n4,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_155,plain,
    sum(n5,n3) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_156,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7 ),
    inference(cn,[status(thm)],[inference(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_148,c_0_153]),c_0_34]),c_0_135]),c_0_36]),c_0_154]),c_0_62]),c_0_36]),c_0_34]),c_0_39]),c_0_155])]) ).

cnf(c_0_157,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 ),
    inference(cn,[status(thm)],[inference(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_148,c_0_156]),c_0_42]),c_0_38]),c_0_44]),c_0_150]),c_0_70]),c_0_44]),c_0_42]),c_0_47]),c_0_45])]) ).

cnf(c_0_158,plain,
    sum(n4,n9) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_159,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7 ),
    inference(cn,[status(thm)],[inference(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_148,c_0_157]),c_0_50]),c_0_139]),c_0_52]),c_0_158]),c_0_78]),c_0_52]),c_0_50]),c_0_55]),c_0_128])]) ).

cnf(c_0_160,plain,
    sum(n3,n9) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_161,plain,
    sum(n5,n8) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_162,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 ),
    inference(cn,[status(thm)],[inference(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_148,c_0_159]),c_0_58]),c_0_122]),c_0_60]),c_0_160]),c_0_77]),c_0_60]),c_0_58]),c_0_63]),c_0_161])]) ).

cnf(c_0_163,plain,
    sum(n2,n9) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_164,plain,
    sum(n5,n6) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_165,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7 ),
    inference(cn,[status(thm)],[inference(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_148,c_0_162]),c_0_66]),c_0_143]),c_0_68]),c_0_163]),c_0_9]),c_0_68]),c_0_66]),c_0_71]),c_0_164])]) ).

cnf(c_0_166,plain,
    sum(n1,n9) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_167,plain,
    sum(n5,n4) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_168,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 ),
    inference(cn,[status(thm)],[inference(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_148,c_0_165]),c_0_74]),c_0_125]),c_0_76]),c_0_166]),c_0_15]),c_0_76]),c_0_74]),c_0_79]),c_0_167])]) ).

cnf(c_0_169,plain,
    sum(n5,n2) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_170,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6
    | esk1_0 = n7 ),
    inference(cn,[status(thm)],[inference(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_148,c_0_168]),c_0_82]),c_0_146]),c_0_84]),c_0_17]),c_0_22]),c_0_84]),c_0_82]),c_0_85]),c_0_169])]) ).

cnf(c_0_171,plain,
    ( esk1_0 = n6
    | esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n6,succ(esk2_0)),sum(pred(esk2_0),n8)) != sum(n3,sum(pred(esk2_0),succ(esk2_0))) ),
    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_170]),c_0_36]),c_0_34]),c_0_36]),c_0_34]),c_0_39]) ).

cnf(c_0_172,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(cn,[status(thm)],[inference(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_87,c_0_170]),c_0_36]),c_0_37]),c_0_34]),c_0_35]),c_0_38]),c_0_36]),c_0_34]),c_0_39]),c_0_107])]) ).

cnf(c_0_173,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 ),
    inference(cn,[status(thm)],[inference(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_171,c_0_172]),c_0_11]),c_0_99]),c_0_13]),c_0_98]),c_0_46]),c_0_13]),c_0_11]),c_0_16]),c_0_160])]) ).

cnf(c_0_174,plain,
    sum(n3,n7) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_175,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(cn,[status(thm)],[inference(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_171,c_0_173]),c_0_19]),c_0_124]),c_0_20]),c_0_30]),c_0_54]),c_0_20]),c_0_19]),c_0_23]),c_0_174])]) ).

cnf(c_0_176,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 ),
    inference(cn,[status(thm)],[inference(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_171,c_0_175]),c_0_26]),c_0_154]),c_0_28]),c_0_135]),c_0_62]),c_0_28]),c_0_26]),c_0_31]),c_0_63])]) ).

cnf(c_0_177,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(cn,[status(thm)],[inference(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_171,c_0_176]),c_0_34]),c_0_39]),c_0_36]),c_0_39]),c_0_70]),c_0_36]),c_0_34]),c_0_39]),c_0_70])]) ).

cnf(c_0_178,plain,
    sum(n6,n7) = n2,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_179,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 ),
    inference(cn,[status(thm)],[inference(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_171,c_0_177]),c_0_42]),c_0_178]),c_0_44]),c_0_161]),c_0_78]),c_0_44]),c_0_42]),c_0_47]),c_0_61])]) ).

cnf(c_0_180,plain,
    sum(n4,n8) = n1,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_181,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(cn,[status(thm)],[inference(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_171,c_0_179]),c_0_50]),c_0_46]),c_0_52]),c_0_180]),c_0_77]),c_0_52]),c_0_50]),c_0_55]),c_0_134])]) ).

cnf(c_0_182,plain,
    sum(n6,n5) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_183,plain,
    sum(n3,n8) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_184,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 ),
    inference(cn,[status(thm)],[inference(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_171,c_0_181]),c_0_58]),c_0_182]),c_0_60]),c_0_183]),c_0_9]),c_0_60]),c_0_58]),c_0_63]),c_0_183])]) ).

cnf(c_0_185,plain,
    sum(n6,n4) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_186,plain,
    sum(n2,n8) = n10,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_187,plain,
    sum(n3,n6) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_188,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(cn,[status(thm)],[inference(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_171,c_0_184]),c_0_66]),c_0_185]),c_0_68]),c_0_186]),c_0_15]),c_0_68]),c_0_66]),c_0_71]),c_0_187])]) ).

cnf(c_0_189,plain,
    sum(n6,n3) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_190,plain,
    sum(n1,n8) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_191,plain,
    sum(n3,n4) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_192,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5
    | esk1_0 = n6 ),
    inference(cn,[status(thm)],[inference(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_171,c_0_188]),c_0_74]),c_0_189]),c_0_76]),c_0_190]),c_0_22]),c_0_76]),c_0_74]),c_0_79]),c_0_191])]) ).

cnf(c_0_193,plain,
    sum(n6,n2) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_194,plain,
    sum(n3,n2) = n5,
    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 ),
    inference(cn,[status(thm)],[inference(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_171,c_0_192]),c_0_82]),c_0_193]),c_0_84]),c_0_64]),c_0_30]),c_0_84]),c_0_82]),c_0_85]),c_0_194])]) ).

cnf(c_0_196,plain,
    ( esk1_0 = n5
    | esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n5,succ(esk2_0)),sum(pred(esk2_0),n7)) != sum(n1,sum(pred(esk2_0),succ(esk2_0))) ),
    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_195]),c_0_44]),c_0_42]),c_0_44]),c_0_42]),c_0_47]) ).

cnf(c_0_197,plain,
    ( 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(cn,[status(thm)],[inference(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_87,c_0_195]),c_0_44]),c_0_45]),c_0_42]),c_0_43]),c_0_46]),c_0_44]),c_0_42]),c_0_47]),c_0_112])]) ).

cnf(c_0_198,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 ),
    inference(cn,[status(thm)],[inference(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_196,c_0_197]),c_0_11]),c_0_102]),c_0_13]),c_0_93]),c_0_54]),c_0_13]),c_0_11]),c_0_16]),c_0_166])]) ).

cnf(c_0_199,plain,
    sum(n1,n7) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_200,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5 ),
    inference(cn,[status(thm)],[inference(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_196,c_0_198]),c_0_19]),c_0_128]),c_0_20]),c_0_127]),c_0_62]),c_0_20]),c_0_19]),c_0_23]),c_0_199])]) ).

cnf(c_0_201,plain,
    sum(n1,n5) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_202,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 ),
    inference(cn,[status(thm)],[inference(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_196,c_0_200]),c_0_26]),c_0_150]),c_0_28]),c_0_38]),c_0_70]),c_0_28]),c_0_26]),c_0_31]),c_0_201])]) ).

cnf(c_0_203,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5 ),
    inference(cn,[status(thm)],[inference(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_196,c_0_202]),c_0_34]),c_0_161]),c_0_36]),c_0_178]),c_0_78]),c_0_36]),c_0_34]),c_0_39]),c_0_79])]) ).

cnf(c_0_204,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 ),
    inference(cn,[status(thm)],[inference(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_196,c_0_203]),c_0_42]),c_0_47]),c_0_44]),c_0_47]),c_0_77]),c_0_44]),c_0_42]),c_0_47]),c_0_77])]) ).

cnf(c_0_205,plain,
    sum(n4,n7) = n0,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_206,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5 ),
    inference(cn,[status(thm)],[inference(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_196,c_0_204]),c_0_50]),c_0_164]),c_0_52]),c_0_205]),c_0_9]),c_0_52]),c_0_50]),c_0_55]),c_0_142])]) ).

cnf(c_0_207,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 ),
    inference(cn,[status(thm)],[inference(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_196,c_0_206]),c_0_58]),c_0_54]),c_0_60]),c_0_174]),c_0_15]),c_0_60]),c_0_58]),c_0_63]),c_0_190])]) ).

cnf(c_0_208,plain,
    sum(n2,n7) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_209,plain,
    sum(n1,n6) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_210,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5 ),
    inference(cn,[status(thm)],[inference(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_196,c_0_207]),c_0_66]),c_0_167]),c_0_68]),c_0_208]),c_0_22]),c_0_68]),c_0_66]),c_0_71]),c_0_209])]) ).

cnf(c_0_211,plain,
    sum(n1,n4) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_212,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5 ),
    inference(cn,[status(thm)],[inference(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_196,c_0_210]),c_0_74]),c_0_155]),c_0_76]),c_0_199]),c_0_30]),c_0_76]),c_0_74]),c_0_79]),c_0_211])]) ).

cnf(c_0_213,plain,
    sum(n1,n2) = n3,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_214,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4
    | esk1_0 = n5 ),
    inference(cn,[status(thm)],[inference(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_196,c_0_212]),c_0_82]),c_0_169]),c_0_84]),c_0_24]),c_0_38]),c_0_84]),c_0_82]),c_0_85]),c_0_213])]) ).

cnf(c_0_215,plain,
    ( esk1_0 = n4
    | esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n4,succ(esk2_0)),sum(pred(esk2_0),n6)) != sum(n10,sum(pred(esk2_0),succ(esk2_0))) ),
    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_214]),c_0_52]),c_0_50]),c_0_52]),c_0_50]),c_0_55]) ).

cnf(c_0_216,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(cn,[status(thm)],[inference(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_87,c_0_214]),c_0_52]),c_0_53]),c_0_50]),c_0_51]),c_0_54]),c_0_52]),c_0_50]),c_0_55]),c_0_12])]) ).

cnf(c_0_217,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 ),
    inference(cn,[status(thm)],[inference(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_215,c_0_216]),c_0_11]),c_0_105]),c_0_13]),c_0_104]),c_0_62]),c_0_13]),c_0_11]),c_0_16]),c_0_27])]) ).

cnf(c_0_218,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(cn,[status(thm)],[inference(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_215,c_0_217]),c_0_19]),c_0_131]),c_0_20]),c_0_130]),c_0_70]),c_0_20]),c_0_19]),c_0_23]),c_0_43])]) ).

cnf(c_0_219,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 ),
    inference(cn,[status(thm)],[inference(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_215,c_0_218]),c_0_26]),c_0_158]),c_0_28]),c_0_139]),c_0_78]),c_0_28]),c_0_26]),c_0_31]),c_0_59])]) ).

cnf(c_0_220,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(cn,[status(thm)],[inference(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_215,c_0_219]),c_0_34]),c_0_180]),c_0_36]),c_0_46]),c_0_77]),c_0_36]),c_0_34]),c_0_39]),c_0_75])]) ).

cnf(c_0_221,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 ),
    inference(cn,[status(thm)],[inference(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_215,c_0_220]),c_0_42]),c_0_205]),c_0_44]),c_0_164]),c_0_9]),c_0_44]),c_0_42]),c_0_47]),c_0_6])]) ).

cnf(c_0_222,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(cn,[status(thm)],[inference(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_215,c_0_221]),c_0_50]),c_0_55]),c_0_52]),c_0_55]),c_0_15]),c_0_52]),c_0_50]),c_0_55]),c_0_15])]) ).

cnf(c_0_223,plain,
    sum(n4,n5) = n9,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_224,plain,
    ( esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(cn,[status(thm)],[inference(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_215,c_0_222]),c_0_58]),c_0_223]),c_0_60]),c_0_187]),c_0_22]),c_0_60]),c_0_58]),c_0_63]),c_0_35])]) ).

cnf(c_0_225,plain,
    sum(n2,n6) = n8,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_226,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(cn,[status(thm)],[inference(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_215,c_0_224]),c_0_66]),c_0_62]),c_0_68]),c_0_225]),c_0_30]),c_0_68]),c_0_66]),c_0_71]),c_0_51])]) ).

cnf(c_0_227,plain,
    sum(n4,n3) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_228,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(cn,[status(thm)],[inference(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_215,c_0_226]),c_0_74]),c_0_227]),c_0_76]),c_0_209]),c_0_38]),c_0_76]),c_0_74]),c_0_79]),c_0_67])]) ).

cnf(c_0_229,plain,
    sum(n4,n2) = n6,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_230,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3
    | esk1_0 = n4 ),
    inference(cn,[status(thm)],[inference(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_215,c_0_228]),c_0_82]),c_0_229]),c_0_84]),c_0_72]),c_0_46]),c_0_84]),c_0_82]),c_0_85]),c_0_83])]) ).

cnf(c_0_231,plain,
    ( esk1_0 = n3
    | esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n3,succ(esk2_0)),sum(pred(esk2_0),n5)) != sum(n8,sum(pred(esk2_0),succ(esk2_0))) ),
    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_230]),c_0_60]),c_0_58]),c_0_60]),c_0_58]),c_0_63]) ).

cnf(c_0_232,plain,
    ( 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(cn,[status(thm)],[inference(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_87,c_0_230]),c_0_60]),c_0_61]),c_0_58]),c_0_59]),c_0_62]),c_0_60]),c_0_58]),c_0_63]),c_0_92])]) ).

cnf(c_0_233,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 ),
    inference(cn,[status(thm)],[inference(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_231,c_0_232]),c_0_11]),c_0_107]),c_0_13]),c_0_96]),c_0_70]),c_0_13]),c_0_11]),c_0_16]),c_0_120])]) ).

cnf(c_0_234,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
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3 ),
    inference(cn,[status(thm)],[inference(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_231,c_0_233]),c_0_19]),c_0_134]),c_0_20]),c_0_133]),c_0_78]),c_0_20]),c_0_19]),c_0_23]),c_0_127])]) ).

cnf(c_0_235,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 ),
    inference(cn,[status(thm)],[inference(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_231,c_0_234]),c_0_26]),c_0_160]),c_0_28]),c_0_122]),c_0_77]),c_0_28]),c_0_26]),c_0_31]),c_0_133])]) ).

cnf(c_0_236,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3 ),
    inference(cn,[status(thm)],[inference(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_231,c_0_235]),c_0_34]),c_0_183]),c_0_36]),c_0_182]),c_0_9]),c_0_36]),c_0_34]),c_0_39]),c_0_141])]) ).

cnf(c_0_237,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 ),
    inference(cn,[status(thm)],[inference(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_231,c_0_236]),c_0_42]),c_0_174]),c_0_44]),c_0_54]),c_0_15]),c_0_44]),c_0_42]),c_0_47]),c_0_21])]) ).

cnf(c_0_238,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3 ),
    inference(cn,[status(thm)],[inference(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_231,c_0_237]),c_0_50]),c_0_187]),c_0_52]),c_0_223]),c_0_22]),c_0_52]),c_0_50]),c_0_55]),c_0_23])]) ).

cnf(c_0_239,plain,
    ( esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3 ),
    inference(cn,[status(thm)],[inference(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_231,c_0_238]),c_0_58]),c_0_63]),c_0_60]),c_0_63]),c_0_30]),c_0_60]),c_0_58]),c_0_63]),c_0_30])]) ).

cnf(c_0_240,plain,
    sum(n2,n5) = n7,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_241,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3 ),
    inference(cn,[status(thm)],[inference(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_231,c_0_239]),c_0_66]),c_0_191]),c_0_68]),c_0_240]),c_0_38]),c_0_68]),c_0_66]),c_0_71]),c_0_130])]) ).

cnf(c_0_242,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3 ),
    inference(cn,[status(thm)],[inference(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_231,c_0_241]),c_0_74]),c_0_70]),c_0_76]),c_0_201]),c_0_46]),c_0_76]),c_0_74]),c_0_79]),c_0_137])]) ).

cnf(c_0_243,plain,
    ( esk1_0 = n1
    | esk1_0 = n2
    | esk1_0 = n3 ),
    inference(cn,[status(thm)],[inference(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_231,c_0_242]),c_0_82]),c_0_194]),c_0_84]),c_0_32]),c_0_54]),c_0_84]),c_0_82]),c_0_85]),c_0_145])]) ).

cnf(c_0_244,plain,
    ( esk1_0 = n2
    | esk1_0 = n1
    | sum(sum(n2,succ(esk2_0)),sum(pred(esk2_0),n4)) != sum(n6,sum(pred(esk2_0),succ(esk2_0))) ),
    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_243]),c_0_68]),c_0_66]),c_0_68]),c_0_66]),c_0_71]) ).

cnf(c_0_245,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(cn,[status(thm)],[inference(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_87,c_0_243]),c_0_68]),c_0_69]),c_0_66]),c_0_67]),c_0_70]),c_0_68]),c_0_66]),c_0_71]),c_0_99])]) ).

cnf(c_0_246,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 ),
    inference(cn,[status(thm)],[inference(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_244,c_0_245]),c_0_11]),c_0_110]),c_0_13]),c_0_109]),c_0_78]),c_0_13]),c_0_11]),c_0_16]),c_0_154])]) ).

cnf(c_0_247,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
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[inference(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_244,c_0_246]),c_0_19]),c_0_138]),c_0_20]),c_0_137]),c_0_77]),c_0_20]),c_0_19]),c_0_23]),c_0_178])]) ).

cnf(c_0_248,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 ),
    inference(cn,[status(thm)],[inference(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_244,c_0_247]),c_0_26]),c_0_163]),c_0_28]),c_0_143]),c_0_9]),c_0_28]),c_0_26]),c_0_31]),c_0_182])]) ).

cnf(c_0_249,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[inference(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_244,c_0_248]),c_0_34]),c_0_186]),c_0_36]),c_0_185]),c_0_15]),c_0_36]),c_0_34]),c_0_39]),c_0_189])]) ).

cnf(c_0_250,plain,
    ( esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[inference(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_244,c_0_249]),c_0_42]),c_0_208]),c_0_44]),c_0_167]),c_0_22]),c_0_44]),c_0_42]),c_0_47]),c_0_37])]) ).

cnf(c_0_251,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[inference(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_244,c_0_250]),c_0_50]),c_0_225]),c_0_52]),c_0_62]),c_0_30]),c_0_52]),c_0_50]),c_0_55]),c_0_124])]) ).

cnf(c_0_252,plain,
    ( esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[inference(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_244,c_0_251]),c_0_58]),c_0_240]),c_0_60]),c_0_191]),c_0_38]),c_0_60]),c_0_58]),c_0_63]),c_0_39])]) ).

cnf(c_0_253,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[inference(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_244,c_0_252]),c_0_66]),c_0_71]),c_0_68]),c_0_71]),c_0_46]),c_0_68]),c_0_66]),c_0_71]),c_0_46])]) ).

cnf(c_0_254,plain,
    sum(n2,n3) = n5,
    inference(split_conjunct,[status(thm)],[c_0_1]) ).

cnf(c_0_255,plain,
    ( esk2_0 = n1
    | esk1_0 = n1
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[inference(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_244,c_0_253]),c_0_74]),c_0_254]),c_0_76]),c_0_211]),c_0_54]),c_0_76]),c_0_74]),c_0_79]),c_0_185])]) ).

cnf(c_0_256,plain,
    ( esk1_0 = n1
    | esk1_0 = n2 ),
    inference(cn,[status(thm)],[inference(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_244,c_0_255]),c_0_82]),c_0_78]),c_0_84]),c_0_80]),c_0_62]),c_0_84]),c_0_82]),c_0_85]),c_0_193])]) ).

cnf(c_0_257,plain,
    ( esk1_0 = n1
    | sum(sum(n1,succ(esk2_0)),sum(pred(esk2_0),n3)) != sum(n4,sum(pred(esk2_0),succ(esk2_0))) ),
    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_256]),c_0_76]),c_0_74]),c_0_76]),c_0_74]),c_0_79]) ).

cnf(c_0_258,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(cn,[status(thm)],[inference(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_87,c_0_256]),c_0_76]),c_0_77]),c_0_74]),c_0_75]),c_0_78]),c_0_76]),c_0_74]),c_0_79]),c_0_105])]) ).

cnf(c_0_259,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 ),
    inference(cn,[status(thm)],[inference(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_257,c_0_258]),c_0_11]),c_0_112]),c_0_13]),c_0_100]),c_0_77]),c_0_13]),c_0_11]),c_0_16]),c_0_158])]) ).

cnf(c_0_260,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
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[inference(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_257,c_0_259]),c_0_19]),c_0_142]),c_0_20]),c_0_141]),c_0_9]),c_0_20]),c_0_19]),c_0_23]),c_0_205])]) ).

cnf(c_0_261,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 ),
    inference(cn,[status(thm)],[inference(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_257,c_0_260]),c_0_26]),c_0_166]),c_0_28]),c_0_125]),c_0_15]),c_0_28]),c_0_26]),c_0_31]),c_0_223])]) ).

cnf(c_0_262,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[inference(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_257,c_0_261]),c_0_34]),c_0_190]),c_0_36]),c_0_189]),c_0_22]),c_0_36]),c_0_34]),c_0_39]),c_0_227])]) ).

cnf(c_0_263,plain,
    ( esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[inference(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_257,c_0_262]),c_0_42]),c_0_199]),c_0_44]),c_0_155]),c_0_30]),c_0_44]),c_0_42]),c_0_47]),c_0_53])]) ).

cnf(c_0_264,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[inference(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_257,c_0_263]),c_0_50]),c_0_209]),c_0_52]),c_0_227]),c_0_38]),c_0_52]),c_0_50]),c_0_55]),c_0_131])]) ).

cnf(c_0_265,plain,
    ( esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[inference(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_257,c_0_264]),c_0_58]),c_0_201]),c_0_60]),c_0_70]),c_0_46]),c_0_60]),c_0_58]),c_0_63]),c_0_180])]) ).

cnf(c_0_266,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[inference(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_257,c_0_265]),c_0_66]),c_0_211]),c_0_68]),c_0_254]),c_0_54]),c_0_68]),c_0_66]),c_0_71]),c_0_55])]) ).

cnf(c_0_267,plain,
    ( esk2_0 = n1
    | esk1_0 = n1 ),
    inference(cn,[status(thm)],[inference(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_257,c_0_266]),c_0_74]),c_0_79]),c_0_76]),c_0_79]),c_0_62]),c_0_76]),c_0_74]),c_0_79]),c_0_62])]) ).

cnf(c_0_268,plain,
    esk1_0 = n1,
    inference(cn,[status(thm)],[inference(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_257,c_0_267]),c_0_82]),c_0_213]),c_0_84]),c_0_40]),c_0_70]),c_0_84]),c_0_82]),c_0_85]),c_0_229])]) ).

cnf(c_0_269,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(cn,[status(thm)],[inference(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_87,c_0_268]),c_0_84]),c_0_48]),c_0_82]),c_0_83]),c_0_77]),c_0_84]),c_0_82]),c_0_85]),c_0_110])]) ).

cnf(c_0_270,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 ),
    inference(cn,[status(thm)],[inference(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(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_269]),c_0_268]),c_0_84]),c_0_11]),c_0_9]),c_0_13]),c_0_268]),c_0_82]),c_0_114]),c_0_9]),c_0_268]),c_0_84]),c_0_268]),c_0_82]),c_0_85]),c_0_13]),c_0_11]),c_0_16]),c_0_163])]) ).

cnf(c_0_271,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(cn,[status(thm)],[inference(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(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_270]),c_0_268]),c_0_84]),c_0_19]),c_0_56]),c_0_20]),c_0_268]),c_0_82]),c_0_145]),c_0_15]),c_0_268]),c_0_84]),c_0_268]),c_0_82]),c_0_85]),c_0_20]),c_0_19]),c_0_23]),c_0_208])]) ).

cnf(c_0_272,plain,
    ( esk2_0 = n7
    | esk2_0 = n6
    | esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[inference(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(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_271]),c_0_268]),c_0_84]),c_0_26]),c_0_17]),c_0_28]),c_0_268]),c_0_82]),c_0_146]),c_0_22]),c_0_268]),c_0_84]),c_0_268]),c_0_82]),c_0_85]),c_0_28]),c_0_26]),c_0_31]),c_0_240])]) ).

cnf(c_0_273,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4
    | esk2_0 = n5
    | esk2_0 = n6 ),
    inference(cn,[status(thm)],[inference(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(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_272]),c_0_268]),c_0_84]),c_0_34]),c_0_64]),c_0_36]),c_0_268]),c_0_82]),c_0_193]),c_0_30]),c_0_268]),c_0_84]),c_0_268]),c_0_82]),c_0_85]),c_0_36]),c_0_34]),c_0_39]),c_0_254])]) ).

cnf(c_0_274,plain,
    ( esk2_0 = n5
    | esk2_0 = n4
    | esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[inference(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(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_273]),c_0_268]),c_0_84]),c_0_42]),c_0_24]),c_0_44]),c_0_268]),c_0_82]),c_0_169]),c_0_38]),c_0_268]),c_0_84]),c_0_268]),c_0_82]),c_0_85]),c_0_44]),c_0_42]),c_0_47]),c_0_69])]) ).

cnf(c_0_275,plain,
    ( esk2_0 = n1
    | esk2_0 = n2
    | esk2_0 = n3
    | esk2_0 = n4 ),
    inference(cn,[status(thm)],[inference(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(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_274]),c_0_268]),c_0_84]),c_0_50]),c_0_72]),c_0_52]),c_0_268]),c_0_82]),c_0_229]),c_0_46]),c_0_268]),c_0_84]),c_0_268]),c_0_82]),c_0_85]),c_0_52]),c_0_50]),c_0_55]),c_0_138])]) ).

cnf(c_0_276,plain,
    ( esk2_0 = n3
    | esk2_0 = n2
    | esk2_0 = n1 ),
    inference(cn,[status(thm)],[inference(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(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_275]),c_0_268]),c_0_84]),c_0_58]),c_0_32]),c_0_60]),c_0_268]),c_0_82]),c_0_194]),c_0_54]),c_0_268]),c_0_84]),c_0_268]),c_0_82]),c_0_85]),c_0_60]),c_0_58]),c_0_63]),c_0_186])]) ).

cnf(c_0_277,plain,
    ( esk2_0 = n1
    | esk2_0 = n2 ),
    inference(cn,[status(thm)],[inference(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(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_276]),c_0_268]),c_0_84]),c_0_66]),c_0_80]),c_0_68]),c_0_268]),c_0_82]),c_0_78]),c_0_62]),c_0_268]),c_0_84]),c_0_268]),c_0_82]),c_0_85]),c_0_68]),c_0_66]),c_0_71]),c_0_225])]) ).

cnf(c_0_278,plain,
    esk2_0 = n1,
    inference(cn,[status(thm)],[inference(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(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_277]),c_0_268]),c_0_84]),c_0_74]),c_0_40]),c_0_76]),c_0_268]),c_0_82]),c_0_213]),c_0_70]),c_0_268]),c_0_84]),c_0_268]),c_0_82]),c_0_85]),c_0_76]),c_0_74]),c_0_79]),c_0_71])]) ).

cnf(c_0_279,plain,
    $false,
    inference(cn,[status(thm)],[inference(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(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_278]),c_0_268]),c_0_84]),c_0_82]),c_0_85]),c_0_84]),c_0_268]),c_0_82]),c_0_85]),c_0_78]),c_0_268]),c_0_84]),c_0_268]),c_0_82]),c_0_85]),c_0_84]),c_0_82]),c_0_85]),c_0_78])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri Aug 25 11:40:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.55  start to proof: theBenchmark
% 0.20/0.60  % Version  : CSE_E---1.5
% 0.20/0.60  % Problem  : theBenchmark.p
% 0.20/0.60  % Proof found
% 0.20/0.60  % SZS status Theorem for theBenchmark.p
% 0.20/0.60  % SZS output start Proof
% See solution above
% 0.20/0.63  % Total time : 0.040000 s
% 0.20/0.63  % SZS output end Proof
% 0.20/0.63  % Total time : 0.044000 s
%------------------------------------------------------------------------------