CSE_E---1.7.THM-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SET765+4 : TPTP v9.2.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n006.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 : Tue May  5 05:08:26 PM UTC 2026

% Result   : Theorem 187.88s 141.07s
% Output   : CNFRefutation 191.26s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 156)

% Comments : 
%------------------------------------------------------------------------------
fof(difference,axiom,
    ! [X2,X1,X4] :
      ( member(X2,difference(X4,X1))
    <=> ( member(X2,X4)
        & ~ member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',difference) ).

fof(equivalence,axiom,
    ! [X1,X7] :
      ( equivalence(X7,X1)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => apply(X7,X3,X3) )
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X1) )
           => ( apply(X7,X3,X5)
             => apply(X7,X5,X3) ) )
        & ! [X3,X5,X6] :
            ( ( member(X3,X1)
              & member(X5,X1)
              & member(X6,X1) )
           => ( ( apply(X7,X3,X5)
                & apply(X7,X5,X6) )
             => apply(X7,X3,X6) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',equivalence) ).

fof(empty_set,axiom,
    ! [X3] : ~ member(X3,empty_set),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',empty_set) ).

fof(thIII01,conjecture,
    ! [X4,X7,X3] :
      ( ( equivalence(X7,X4)
        & subset(X3,X4) )
     => equivalence(X7,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII01) ).

fof(pre_order,axiom,
    ! [X7,X4] :
      ( pre_order(X7,X4)
    <=> ( ! [X3] :
            ( member(X3,X4)
           => apply(X7,X3,X3) )
        & ! [X3,X5,X6] :
            ( ( member(X3,X4)
              & member(X5,X4)
              & member(X6,X4) )
           => ( ( apply(X7,X3,X5)
                & apply(X7,X5,X6) )
             => apply(X7,X3,X6) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',pre_order) ).

fof(equivalence_class,axiom,
    ! [X7,X4,X1,X3] :
      ( member(X3,equivalence_class(X1,X4,X7))
    <=> ( member(X3,X4)
        & apply(X7,X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',equivalence_class) ).

fof(partition,axiom,
    ! [X1,X4] :
      ( partition(X1,X4)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => subset(X3,X4) )
        & ! [X3] :
            ( member(X3,X4)
           => ? [X5] :
                ( member(X5,X1)
                & member(X3,X5) ) )
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X1) )
           => ( ? [X6] :
                  ( member(X6,X3)
                  & member(X6,X5) )
             => X3 = X5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',partition) ).

fof(union,axiom,
    ! [X3,X1,X2] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',union) ).

fof(intersection,axiom,
    ! [X3,X1,X2] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',intersection) ).

fof(product,axiom,
    ! [X3,X1] :
      ( member(X3,product(X1))
    <=> ! [X5] :
          ( member(X5,X1)
         => member(X3,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',product) ).

fof(subset,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

fof(sum,axiom,
    ! [X3,X1] :
      ( member(X3,sum(X1))
    <=> ? [X5] :
          ( member(X5,X1)
          & member(X3,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',sum) ).

fof(disjoint,axiom,
    ! [X1,X2] :
      ( disjoint(X1,X2)
    <=> ~ ? [X3] :
            ( member(X3,X1)
            & member(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',disjoint) ).

fof(unordered_pair,axiom,
    ! [X3,X1,X2] :
      ( member(X3,unordered_pair(X1,X2))
    <=> ( X3 = X1
        | X3 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',unordered_pair) ).

fof(equal_set,axiom,
    ! [X1,X2] :
      ( equal_set(X1,X2)
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).

fof(power_set,axiom,
    ! [X3,X1] :
      ( member(X3,power_set(X1))
    <=> subset(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',power_set) ).

fof(singleton,axiom,
    ! [X3,X1] :
      ( member(X3,singleton(X1))
    <=> X3 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',singleton) ).

fof(i_0_17,plain,
    ! [X1,X7] :
      ( epred1_2(X7,X1)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => apply(X7,X3,X3) )
        & ! [X3,X5] :
            ( ( member(X3,X1)
              & member(X5,X1) )
           => ( apply(X7,X3,X5)
             => apply(X7,X5,X3) ) )
        & ! [X3,X5,X6] :
            ( ( member(X3,X1)
              & member(X5,X1)
              & member(X6,X1) )
           => ( ( apply(X7,X3,X5)
                & apply(X7,X5,X6) )
             => apply(X7,X3,X6) ) ) ) ),
    introduced(definition) ).

fof(i_0_18,plain,
    ! [X2,X1,X4] :
      ( member(X2,difference(X4,X1))
    <=> ( member(X2,X4)
        & ~ member(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[difference]) ).

fof(i_0_19,axiom,
    ! [X1,X7] :
      ( equivalence(X7,X1)
    <=> epred1_2(X7,X1) ),
    inference(apply_def,[status(thm)],[equivalence,c_0_17]) ).

fof(i_0_20,plain,
    ! [X3] : ~ member(X3,empty_set),
    inference(fof_simplification,[status(thm)],[empty_set]) ).

fof(i_0_21,negated_conjecture,
    ~ ! [X4,X7,X3] :
        ( ( equivalence(X7,X4)
          & subset(X3,X4) )
       => equivalence(X7,X3) ),
    inference(assume_negation,[status(cth)],[thIII01]) ).

fof(i_0_22,plain,
    ! [X148,X149,X150,X151,X152,X153,X154,X155,X156,X157] :
      ( ( ~ member(X150,X148)
        | apply(X149,X150,X150)
        | ~ epred1_2(X149,X148) )
      & ( ~ member(X151,X148)
        | ~ member(X152,X148)
        | ~ apply(X149,X151,X152)
        | apply(X149,X152,X151)
        | ~ epred1_2(X149,X148) )
      & ( ~ member(X153,X148)
        | ~ member(X154,X148)
        | ~ member(X155,X148)
        | ~ apply(X149,X153,X154)
        | ~ apply(X149,X154,X155)
        | apply(X149,X153,X155)
        | ~ epred1_2(X149,X148) )
      & ( member(esk21_2(X156,X157),X156)
        | member(esk19_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk22_2(X156,X157),X156)
        | member(esk19_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk23_2(X156,X157),X156)
        | member(esk19_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( apply(X157,esk21_2(X156,X157),esk22_2(X156,X157))
        | member(esk19_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( apply(X157,esk22_2(X156,X157),esk23_2(X156,X157))
        | member(esk19_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( ~ apply(X157,esk21_2(X156,X157),esk23_2(X156,X157))
        | member(esk19_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk21_2(X156,X157),X156)
        | member(esk20_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk22_2(X156,X157),X156)
        | member(esk20_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk23_2(X156,X157),X156)
        | member(esk20_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( apply(X157,esk21_2(X156,X157),esk22_2(X156,X157))
        | member(esk20_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( apply(X157,esk22_2(X156,X157),esk23_2(X156,X157))
        | member(esk20_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( ~ apply(X157,esk21_2(X156,X157),esk23_2(X156,X157))
        | member(esk20_2(X156,X157),X156)
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk21_2(X156,X157),X156)
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk22_2(X156,X157),X156)
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk23_2(X156,X157),X156)
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( apply(X157,esk21_2(X156,X157),esk22_2(X156,X157))
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( apply(X157,esk22_2(X156,X157),esk23_2(X156,X157))
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( ~ apply(X157,esk21_2(X156,X157),esk23_2(X156,X157))
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk21_2(X156,X157),X156)
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk22_2(X156,X157),X156)
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk23_2(X156,X157),X156)
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( apply(X157,esk21_2(X156,X157),esk22_2(X156,X157))
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( apply(X157,esk22_2(X156,X157),esk23_2(X156,X157))
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( ~ apply(X157,esk21_2(X156,X157),esk23_2(X156,X157))
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | member(esk18_2(X156,X157),X156)
        | epred1_2(X157,X156) )
      & ( member(esk21_2(X156,X157),X156)
        | member(esk19_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( member(esk22_2(X156,X157),X156)
        | member(esk19_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( member(esk23_2(X156,X157),X156)
        | member(esk19_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( apply(X157,esk21_2(X156,X157),esk22_2(X156,X157))
        | member(esk19_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( apply(X157,esk22_2(X156,X157),esk23_2(X156,X157))
        | member(esk19_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( ~ apply(X157,esk21_2(X156,X157),esk23_2(X156,X157))
        | member(esk19_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( member(esk21_2(X156,X157),X156)
        | member(esk20_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( member(esk22_2(X156,X157),X156)
        | member(esk20_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( member(esk23_2(X156,X157),X156)
        | member(esk20_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( apply(X157,esk21_2(X156,X157),esk22_2(X156,X157))
        | member(esk20_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( apply(X157,esk22_2(X156,X157),esk23_2(X156,X157))
        | member(esk20_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( ~ apply(X157,esk21_2(X156,X157),esk23_2(X156,X157))
        | member(esk20_2(X156,X157),X156)
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( member(esk21_2(X156,X157),X156)
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( member(esk22_2(X156,X157),X156)
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( member(esk23_2(X156,X157),X156)
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( apply(X157,esk21_2(X156,X157),esk22_2(X156,X157))
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( apply(X157,esk22_2(X156,X157),esk23_2(X156,X157))
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( ~ apply(X157,esk21_2(X156,X157),esk23_2(X156,X157))
        | apply(X157,esk19_2(X156,X157),esk20_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( member(esk21_2(X156,X157),X156)
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( member(esk22_2(X156,X157),X156)
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( member(esk23_2(X156,X157),X156)
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( apply(X157,esk21_2(X156,X157),esk22_2(X156,X157))
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( apply(X157,esk22_2(X156,X157),esk23_2(X156,X157))
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) )
      & ( ~ apply(X157,esk21_2(X156,X157),esk23_2(X156,X157))
        | ~ apply(X157,esk20_2(X156,X157),esk19_2(X156,X157))
        | ~ apply(X157,esk18_2(X156,X157),esk18_2(X156,X157))
        | epred1_2(X157,X156) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_17])])])])])]) ).

fof(i_0_23,plain,
    ! [X133,X134,X135,X136,X137,X138,X139,X140] :
      ( ( ~ member(X135,X134)
        | apply(X133,X135,X135)
        | ~ pre_order(X133,X134) )
      & ( ~ member(X136,X134)
        | ~ member(X137,X134)
        | ~ member(X138,X134)
        | ~ apply(X133,X136,X137)
        | ~ apply(X133,X137,X138)
        | apply(X133,X136,X138)
        | ~ pre_order(X133,X134) )
      & ( member(esk12_2(X139,X140),X140)
        | member(esk11_2(X139,X140),X140)
        | pre_order(X139,X140) )
      & ( member(esk13_2(X139,X140),X140)
        | member(esk11_2(X139,X140),X140)
        | pre_order(X139,X140) )
      & ( member(esk14_2(X139,X140),X140)
        | member(esk11_2(X139,X140),X140)
        | pre_order(X139,X140) )
      & ( apply(X139,esk12_2(X139,X140),esk13_2(X139,X140))
        | member(esk11_2(X139,X140),X140)
        | pre_order(X139,X140) )
      & ( apply(X139,esk13_2(X139,X140),esk14_2(X139,X140))
        | member(esk11_2(X139,X140),X140)
        | pre_order(X139,X140) )
      & ( ~ apply(X139,esk12_2(X139,X140),esk14_2(X139,X140))
        | member(esk11_2(X139,X140),X140)
        | pre_order(X139,X140) )
      & ( member(esk12_2(X139,X140),X140)
        | ~ apply(X139,esk11_2(X139,X140),esk11_2(X139,X140))
        | pre_order(X139,X140) )
      & ( member(esk13_2(X139,X140),X140)
        | ~ apply(X139,esk11_2(X139,X140),esk11_2(X139,X140))
        | pre_order(X139,X140) )
      & ( member(esk14_2(X139,X140),X140)
        | ~ apply(X139,esk11_2(X139,X140),esk11_2(X139,X140))
        | pre_order(X139,X140) )
      & ( apply(X139,esk12_2(X139,X140),esk13_2(X139,X140))
        | ~ apply(X139,esk11_2(X139,X140),esk11_2(X139,X140))
        | pre_order(X139,X140) )
      & ( apply(X139,esk13_2(X139,X140),esk14_2(X139,X140))
        | ~ apply(X139,esk11_2(X139,X140),esk11_2(X139,X140))
        | pre_order(X139,X140) )
      & ( ~ apply(X139,esk12_2(X139,X140),esk14_2(X139,X140))
        | ~ apply(X139,esk11_2(X139,X140),esk11_2(X139,X140))
        | pre_order(X139,X140) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[pre_order])])])])])]) ).

fof(i_0_24,plain,
    ! [X129,X130,X131,X132] :
      ( ( member(X132,X130)
        | ~ member(X132,equivalence_class(X131,X130,X129)) )
      & ( apply(X129,X131,X132)
        | ~ member(X132,equivalence_class(X131,X130,X129)) )
      & ( ~ member(X132,X130)
        | ~ apply(X129,X131,X132)
        | member(X132,equivalence_class(X131,X130,X129)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equivalence_class])])]) ).

fof(i_0_25,plain,
    ! [X111,X112,X113,X114,X116,X117,X118,X119,X120,X123] :
      ( ( ~ member(X113,X111)
        | subset(X113,X112)
        | ~ partition(X111,X112) )
      & ( member(esk5_3(X111,X112,X114),X111)
        | ~ member(X114,X112)
        | ~ partition(X111,X112) )
      & ( member(X114,esk5_3(X111,X112,X114))
        | ~ member(X114,X112)
        | ~ partition(X111,X112) )
      & ( ~ member(X116,X111)
        | ~ member(X117,X111)
        | ~ member(X118,X116)
        | ~ member(X118,X117)
        | X116 = X117
        | ~ partition(X111,X112) )
      & ( member(esk8_2(X119,X120),X119)
        | member(esk7_2(X119,X120),X120)
        | member(esk6_2(X119,X120),X119)
        | partition(X119,X120) )
      & ( member(esk9_2(X119,X120),X119)
        | member(esk7_2(X119,X120),X120)
        | member(esk6_2(X119,X120),X119)
        | partition(X119,X120) )
      & ( member(esk10_2(X119,X120),esk8_2(X119,X120))
        | member(esk7_2(X119,X120),X120)
        | member(esk6_2(X119,X120),X119)
        | partition(X119,X120) )
      & ( member(esk10_2(X119,X120),esk9_2(X119,X120))
        | member(esk7_2(X119,X120),X120)
        | member(esk6_2(X119,X120),X119)
        | partition(X119,X120) )
      & ( esk8_2(X119,X120) != esk9_2(X119,X120)
        | member(esk7_2(X119,X120),X120)
        | member(esk6_2(X119,X120),X119)
        | partition(X119,X120) )
      & ( member(esk8_2(X119,X120),X119)
        | ~ member(X123,X119)
        | ~ member(esk7_2(X119,X120),X123)
        | member(esk6_2(X119,X120),X119)
        | partition(X119,X120) )
      & ( member(esk9_2(X119,X120),X119)
        | ~ member(X123,X119)
        | ~ member(esk7_2(X119,X120),X123)
        | member(esk6_2(X119,X120),X119)
        | partition(X119,X120) )
      & ( member(esk10_2(X119,X120),esk8_2(X119,X120))
        | ~ member(X123,X119)
        | ~ member(esk7_2(X119,X120),X123)
        | member(esk6_2(X119,X120),X119)
        | partition(X119,X120) )
      & ( member(esk10_2(X119,X120),esk9_2(X119,X120))
        | ~ member(X123,X119)
        | ~ member(esk7_2(X119,X120),X123)
        | member(esk6_2(X119,X120),X119)
        | partition(X119,X120) )
      & ( esk8_2(X119,X120) != esk9_2(X119,X120)
        | ~ member(X123,X119)
        | ~ member(esk7_2(X119,X120),X123)
        | member(esk6_2(X119,X120),X119)
        | partition(X119,X120) )
      & ( member(esk8_2(X119,X120),X119)
        | member(esk7_2(X119,X120),X120)
        | ~ subset(esk6_2(X119,X120),X120)
        | partition(X119,X120) )
      & ( member(esk9_2(X119,X120),X119)
        | member(esk7_2(X119,X120),X120)
        | ~ subset(esk6_2(X119,X120),X120)
        | partition(X119,X120) )
      & ( member(esk10_2(X119,X120),esk8_2(X119,X120))
        | member(esk7_2(X119,X120),X120)
        | ~ subset(esk6_2(X119,X120),X120)
        | partition(X119,X120) )
      & ( member(esk10_2(X119,X120),esk9_2(X119,X120))
        | member(esk7_2(X119,X120),X120)
        | ~ subset(esk6_2(X119,X120),X120)
        | partition(X119,X120) )
      & ( esk8_2(X119,X120) != esk9_2(X119,X120)
        | member(esk7_2(X119,X120),X120)
        | ~ subset(esk6_2(X119,X120),X120)
        | partition(X119,X120) )
      & ( member(esk8_2(X119,X120),X119)
        | ~ member(X123,X119)
        | ~ member(esk7_2(X119,X120),X123)
        | ~ subset(esk6_2(X119,X120),X120)
        | partition(X119,X120) )
      & ( member(esk9_2(X119,X120),X119)
        | ~ member(X123,X119)
        | ~ member(esk7_2(X119,X120),X123)
        | ~ subset(esk6_2(X119,X120),X120)
        | partition(X119,X120) )
      & ( member(esk10_2(X119,X120),esk8_2(X119,X120))
        | ~ member(X123,X119)
        | ~ member(esk7_2(X119,X120),X123)
        | ~ subset(esk6_2(X119,X120),X120)
        | partition(X119,X120) )
      & ( member(esk10_2(X119,X120),esk9_2(X119,X120))
        | ~ member(X123,X119)
        | ~ member(esk7_2(X119,X120),X123)
        | ~ subset(esk6_2(X119,X120),X120)
        | partition(X119,X120) )
      & ( esk8_2(X119,X120) != esk9_2(X119,X120)
        | ~ member(X123,X119)
        | ~ member(esk7_2(X119,X120),X123)
        | ~ subset(esk6_2(X119,X120),X120)
        | partition(X119,X120) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[partition])])])])])]) ).

fof(i_0_26,plain,
    ! [X81,X82,X83] :
      ( ( ~ member(X81,union(X82,X83))
        | member(X81,X82)
        | member(X81,X83) )
      & ( ~ member(X81,X82)
        | member(X81,union(X82,X83)) )
      & ( ~ member(X81,X83)
        | member(X81,union(X82,X83)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union])])]) ).

fof(i_0_27,plain,
    ! [X85,X86,X87] :
      ( ( member(X85,X87)
        | ~ member(X85,difference(X87,X86)) )
      & ( ~ member(X85,X86)
        | ~ member(X85,difference(X87,X86)) )
      & ( ~ member(X85,X87)
        | member(X85,X86)
        | member(X85,difference(X87,X86)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_18])])]) ).

fof(i_0_28,plain,
    ! [X78,X79,X80] :
      ( ( member(X78,X79)
        | ~ member(X78,intersection(X79,X80)) )
      & ( member(X78,X80)
        | ~ member(X78,intersection(X79,X80)) )
      & ( ~ member(X78,X79)
        | ~ member(X78,X80)
        | member(X78,intersection(X79,X80)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])]) ).

fof(i_0_29,plain,
    ! [X99,X100,X101,X102,X103] :
      ( ( ~ member(X99,product(X100))
        | ~ member(X101,X100)
        | member(X99,X101) )
      & ( member(esk3_2(X102,X103),X103)
        | member(X102,product(X103)) )
      & ( ~ member(X102,esk3_2(X102,X103))
        | member(X102,product(X103)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[product])])])])])]) ).

fof(i_0_30,plain,
    ! [X68,X69,X70,X71,X72] :
      ( ( ~ subset(X68,X69)
        | ~ member(X70,X68)
        | member(X70,X69) )
      & ( member(esk1_2(X71,X72),X71)
        | subset(X71,X72) )
      & ( ~ member(esk1_2(X71,X72),X72)
        | subset(X71,X72) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])]) ).

fof(i_0_31,plain,
    ! [X93,X94,X96,X97,X98] :
      ( ( member(esk2_2(X93,X94),X94)
        | ~ member(X93,sum(X94)) )
      & ( member(X93,esk2_2(X93,X94))
        | ~ member(X93,sum(X94)) )
      & ( ~ member(X98,X97)
        | ~ member(X96,X98)
        | member(X96,sum(X97)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sum])])])])])]) ).

fof(i_0_32,plain,
    ! [X105,X106,X107,X108,X109] :
      ( ( ~ disjoint(X105,X106)
        | ~ member(X107,X105)
        | ~ member(X107,X106) )
      & ( member(esk4_2(X108,X109),X108)
        | disjoint(X108,X109) )
      & ( member(esk4_2(X108,X109),X109)
        | disjoint(X108,X109) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[disjoint])])])])])]) ).

fof(i_0_33,plain,
    ! [X90,X91,X92] :
      ( ( ~ member(X90,unordered_pair(X91,X92))
        | X90 = X91
        | X90 = X92 )
      & ( X90 != X91
        | member(X90,unordered_pair(X91,X92)) )
      & ( X90 != X92
        | member(X90,unordered_pair(X91,X92)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unordered_pair])])]) ).

fof(i_0_34,plain,
    ! [X74,X75] :
      ( ( subset(X74,X75)
        | ~ equal_set(X74,X75) )
      & ( subset(X75,X74)
        | ~ equal_set(X74,X75) )
      & ( ~ subset(X74,X75)
        | ~ subset(X75,X74)
        | equal_set(X74,X75) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])]) ).

fof(i_0_35,plain,
    ! [X76,X77] :
      ( ( ~ member(X76,power_set(X77))
        | subset(X76,X77) )
      & ( ~ subset(X76,X77)
        | member(X76,power_set(X77)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[power_set])]) ).

fof(i_0_36,plain,
    ! [X127,X128] :
      ( ( ~ equivalence(X128,X127)
        | epred1_2(X128,X127) )
      & ( ~ epred1_2(X128,X127)
        | equivalence(X128,X127) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_19])]) ).

fof(i_0_37,plain,
    ! [X88,X89] :
      ( ( ~ member(X88,singleton(X89))
        | X88 = X89 )
      & ( X88 != X89
        | member(X88,singleton(X89)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[singleton])]) ).

fof(i_0_38,plain,
    ! [X84] : ~ member(X84,empty_set),
    inference(variable_rename,[status(thm)],[i_0_20]) ).

fof(i_0_39,negated_conjecture,
    ( equivalence(esk16_0,esk15_0)
    & subset(esk17_0,esk15_0)
    & ~ equivalence(esk16_0,esk17_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_21])])]) ).

cnf(i_0_40,plain,
    ( epred1_2(X1,X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_41,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_42,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_43,plain,
    ( apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_44,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_45,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_46,plain,
    ( member(esk20_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_47,plain,
    ( member(esk19_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_48,plain,
    ( member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_49,plain,
    ( member(esk23_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2))
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_50,plain,
    ( member(esk22_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2))
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_51,plain,
    ( member(esk21_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2))
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_52,plain,
    ( pre_order(X1,X2)
    | ~ apply(X1,esk12_2(X1,X2),esk14_2(X1,X2))
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_53,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | member(esk20_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_54,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | member(esk20_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_55,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | member(esk19_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_56,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | member(esk19_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_57,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_58,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_59,plain,
    ( apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_60,plain,
    ( member(esk23_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_61,plain,
    ( member(esk22_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_62,plain,
    ( member(esk21_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_63,plain,
    ( apply(X5,X1,X4)
    | ~ member(X1,X2)
    | ~ member(X3,X2)
    | ~ member(X4,X2)
    | ~ apply(X5,X1,X3)
    | ~ apply(X5,X3,X4)
    | ~ epred1_2(X5,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_64,plain,
    ( apply(X5,X1,X4)
    | ~ member(X1,X2)
    | ~ member(X3,X2)
    | ~ member(X4,X2)
    | ~ apply(X5,X1,X3)
    | ~ apply(X5,X3,X4)
    | ~ pre_order(X5,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_65,plain,
    ( apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))
    | pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_66,plain,
    ( apply(X1,esk12_2(X1,X2),esk13_2(X1,X2))
    | pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_67,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_68,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_69,plain,
    ( member(esk20_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_70,plain,
    ( member(esk19_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_71,plain,
    ( member(esk23_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_72,plain,
    ( member(esk22_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_73,plain,
    ( member(esk21_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_74,plain,
    ( member(esk23_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_75,plain,
    ( member(esk22_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_76,plain,
    ( member(esk21_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_77,plain,
    ( member(esk23_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_78,plain,
    ( member(esk22_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_79,plain,
    ( member(esk21_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_80,plain,
    ( apply(X1,X2,X3)
    | ~ member(X3,equivalence_class(X2,X4,X1)) ),
    inference(split_conjunct,[status(thm)],[i_0_24]),
    [final] ).

cnf(i_0_81,plain,
    ( member(esk10_2(X1,X2),esk9_2(X1,X2))
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_82,plain,
    ( member(esk10_2(X1,X2),esk8_2(X1,X2))
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_83,plain,
    ( member(X1,equivalence_class(X4,X2,X3))
    | ~ member(X1,X2)
    | ~ apply(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_24]),
    [final] ).

cnf(i_0_84,plain,
    ( member(esk14_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_85,plain,
    ( member(esk13_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_86,plain,
    ( member(esk12_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_87,plain,
    ( member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,esk12_2(X1,X2),esk14_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_88,plain,
    ( apply(X4,X3,X1)
    | ~ member(X1,X2)
    | ~ member(X3,X2)
    | ~ apply(X4,X1,X3)
    | ~ epred1_2(X4,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_89,plain,
    ( partition(X1,X2)
    | esk8_2(X1,X2) != esk9_2(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_90,plain,
    ( member(esk10_2(X1,X2),esk9_2(X1,X2))
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_91,plain,
    ( member(esk10_2(X1,X2),esk8_2(X1,X2))
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_92,plain,
    ( member(X1,X2)
    | ~ member(X1,equivalence_class(X3,X2,X4)) ),
    inference(split_conjunct,[status(thm)],[i_0_24]),
    [final] ).

cnf(i_0_93,plain,
    ( member(esk9_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_94,plain,
    ( member(esk8_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_95,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | member(esk20_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_96,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | member(esk20_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_97,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | member(esk19_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_98,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | member(esk19_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_99,plain,
    ( member(esk23_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_100,plain,
    ( member(esk22_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_101,plain,
    ( member(esk21_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_102,plain,
    ( member(esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | esk8_2(X1,X2) != esk9_2(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_103,plain,
    ( member(esk10_2(X1,X2),esk9_2(X1,X2))
    | member(esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_104,plain,
    ( member(esk10_2(X1,X2),esk8_2(X1,X2))
    | member(esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_105,plain,
    ( member(esk9_2(X1,X2),X1)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_106,plain,
    ( member(esk8_2(X1,X2),X1)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | ~ member(X3,X1)
    | ~ member(esk7_2(X1,X2),X3) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_107,plain,
    ( member(esk5_3(X1,X2,X3),X1)
    | ~ member(X3,X2)
    | ~ partition(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_108,plain,
    ( member(X1,esk5_3(X2,X3,X1))
    | ~ member(X1,X3)
    | ~ partition(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_109,plain,
    ( member(esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | esk8_2(X1,X2) != esk9_2(X1,X2)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_110,plain,
    ( member(esk10_2(X1,X2),esk9_2(X1,X2))
    | member(esk7_2(X1,X2),X2)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_111,plain,
    ( member(esk10_2(X1,X2),esk8_2(X1,X2))
    | member(esk7_2(X1,X2),X2)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_112,plain,
    ( apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))
    | member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_113,plain,
    ( apply(X1,esk12_2(X1,X2),esk13_2(X1,X2))
    | member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_114,plain,
    ( member(esk9_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_115,plain,
    ( member(esk8_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | partition(X1,X2)
    | ~ subset(esk6_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_116,plain,
    ( member(esk7_2(X1,X2),X2)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2)
    | esk8_2(X1,X2) != esk9_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_117,plain,
    ( member(esk23_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_118,plain,
    ( member(esk22_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_119,plain,
    ( member(esk21_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_120,plain,
    ( member(esk23_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_121,plain,
    ( member(esk22_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_122,plain,
    ( member(esk21_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_123,plain,
    ( member(esk9_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_124,plain,
    ( member(esk8_2(X1,X2),X1)
    | member(esk7_2(X1,X2),X2)
    | member(esk6_2(X1,X2),X1)
    | partition(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_125,plain,
    ( X1 = X3
    | ~ member(X1,X2)
    | ~ member(X3,X2)
    | ~ member(X4,X1)
    | ~ member(X4,X3)
    | ~ partition(X2,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_126,plain,
    ( apply(X3,X1,X1)
    | ~ member(X1,X2)
    | ~ epred1_2(X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_22]),
    [final] ).

cnf(i_0_127,plain,
    ( apply(X3,X1,X1)
    | ~ member(X1,X2)
    | ~ pre_order(X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_128,plain,
    ( member(esk14_2(X1,X2),X2)
    | member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_129,plain,
    ( member(esk13_2(X1,X2),X2)
    | member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_130,plain,
    ( member(esk12_2(X1,X2),X2)
    | member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_23]),
    [final] ).

cnf(i_0_131,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_26]),
    [final] ).

cnf(i_0_132,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,difference(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_27]),
    [final] ).

cnf(i_0_133,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X2)
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_28]),
    [final] ).

cnf(i_0_134,plain,
    ( member(X1,product(X2))
    | ~ member(X1,esk3_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_29]),
    [final] ).

cnf(i_0_135,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[i_0_30]),
    [final] ).

cnf(i_0_136,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_27]),
    [final] ).

cnf(i_0_137,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_28]),
    [final] ).

cnf(i_0_138,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_28]),
    [final] ).

cnf(i_0_139,plain,
    ( member(X1,X3)
    | member(X1,difference(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_27]),
    [final] ).

cnf(i_0_140,plain,
    ( member(esk2_2(X1,X2),X2)
    | ~ member(X1,sum(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_31]),
    [final] ).

cnf(i_0_141,plain,
    ( member(X1,esk2_2(X1,X2))
    | ~ member(X1,sum(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_31]),
    [final] ).

cnf(i_0_142,plain,
    ( member(X1,X3)
    | ~ member(X1,product(X2))
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_29]),
    [final] ).

cnf(i_0_143,plain,
    ( ~ disjoint(X1,X2)
    | ~ member(X3,X1)
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_32]),
    [final] ).

cnf(i_0_144,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[i_0_33]),
    [final] ).

cnf(i_0_145,plain,
    ( member(X3,sum(X2))
    | ~ member(X1,X2)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_31]),
    [final] ).

cnf(i_0_146,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_26]),
    [final] ).

cnf(i_0_147,plain,
    ( member(X1,union(X3,X2))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_26]),
    [final] ).

cnf(i_0_148,plain,
    ( member(esk3_2(X1,X2),X2)
    | member(X1,product(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_29]),
    [final] ).

cnf(i_0_149,plain,
    ( equal_set(X1,X2)
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_34]),
    [final] ).

cnf(i_0_150,plain,
    ( member(X3,X2)
    | ~ subset(X1,X2)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_30]),
    [final] ).

cnf(i_0_151,plain,
    ( subset(X1,X3)
    | ~ member(X1,X2)
    | ~ partition(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_25]),
    [final] ).

cnf(i_0_152,plain,
    ( member(esk4_2(X1,X2),X1)
    | disjoint(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_32]),
    [final] ).

cnf(i_0_153,plain,
    ( member(esk4_2(X1,X2),X2)
    | disjoint(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_32]),
    [final] ).

cnf(i_0_154,plain,
    ( member(esk1_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_30]),
    [final] ).

cnf(i_0_155,plain,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_35]),
    [final] ).

cnf(i_0_156,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_33]),
    [final] ).

cnf(i_0_157,plain,
    ( member(X1,unordered_pair(X3,X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_33]),
    [final] ).

cnf(i_0_158,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_35]),
    [final] ).

cnf(i_0_159,plain,
    ( epred1_2(X1,X2)
    | ~ equivalence(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_36]),
    [final] ).

cnf(i_0_160,plain,
    ( equivalence(X1,X2)
    | ~ epred1_2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_36]),
    [final] ).

cnf(i_0_161,plain,
    ( subset(X1,X2)
    | ~ equal_set(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_34]),
    [final] ).

cnf(i_0_162,plain,
    ( subset(X1,X2)
    | ~ equal_set(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_34]),
    [final] ).

cnf(i_0_163,plain,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    inference(split_conjunct,[status(thm)],[i_0_37]),
    [final] ).

cnf(i_0_164,plain,
    ( member(X1,singleton(X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_37]),
    [final] ).

cnf(i_0_165,plain,
    ~ member(X1,empty_set),
    inference(split_conjunct,[status(thm)],[i_0_38]),
    [final] ).

cnf(i_0_166,negated_conjecture,
    ~ equivalence(esk16_0,esk17_0),
    inference(split_conjunct,[status(thm)],[i_0_39]),
    [final] ).

cnf(i_0_167,negated_conjecture,
    equivalence(esk16_0,esk15_0),
    inference(split_conjunct,[status(thm)],[i_0_39]),
    [final] ).

cnf(i_0_168,negated_conjecture,
    subset(esk17_0,esk15_0),
    inference(split_conjunct,[status(thm)],[i_0_39]),
    [final] ).

cnf(i_0_169,axiom,
    X1 = X1 ).

cnf(i_0_170,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_171,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_172,axiom,
    ( X1 != X2
    | esk9_2(X1,X3) = esk9_2(X2,X3) ) ).

cnf(i_0_173,axiom,
    ( X1 != X2
    | esk9_2(X3,X1) = esk9_2(X3,X2) ) ).

cnf(i_0_174,axiom,
    ( X1 != X2
    | esk8_2(X1,X3) = esk8_2(X2,X3) ) ).

cnf(i_0_175,axiom,
    ( X1 != X2
    | esk8_2(X3,X1) = esk8_2(X3,X2) ) ).

cnf(i_0_176,axiom,
    ( X1 != X2
    | ~ epred1_2(X1,X3)
    | epred1_2(X2,X3) ) ).

cnf(i_0_177,axiom,
    ( X1 != X2
    | ~ epred1_2(X3,X1)
    | epred1_2(X3,X2) ) ).

cnf(i_0_178,axiom,
    ( X1 != X2
    | ~ apply(X1,X3,X4)
    | apply(X2,X3,X4) ) ).

cnf(i_0_179,axiom,
    ( X1 != X2
    | ~ apply(X3,X1,X4)
    | apply(X3,X2,X4) ) ).

cnf(i_0_180,axiom,
    ( X1 != X2
    | ~ apply(X3,X4,X1)
    | apply(X3,X4,X2) ) ).

cnf(i_0_181,axiom,
    ( X1 != X2
    | ~ member(X1,X3)
    | member(X2,X3) ) ).

cnf(i_0_182,axiom,
    ( X1 != X2
    | ~ member(X3,X1)
    | member(X3,X2) ) ).

cnf(i_0_183,axiom,
    ( X1 != X2
    | ~ pre_order(X1,X3)
    | pre_order(X2,X3) ) ).

cnf(i_0_184,axiom,
    ( X1 != X2
    | ~ pre_order(X3,X1)
    | pre_order(X3,X2) ) ).

cnf(i_0_185,axiom,
    ( X1 != X2
    | ~ partition(X1,X3)
    | partition(X2,X3) ) ).

cnf(i_0_186,axiom,
    ( X1 != X2
    | ~ partition(X3,X1)
    | partition(X3,X2) ) ).

cnf(i_0_187,axiom,
    ( X1 != X2
    | ~ subset(X1,X3)
    | subset(X2,X3) ) ).

cnf(i_0_188,axiom,
    ( X1 != X2
    | ~ subset(X3,X1)
    | subset(X3,X2) ) ).

cnf(i_0_189,axiom,
    ( X1 != X2
    | ~ disjoint(X1,X3)
    | disjoint(X2,X3) ) ).

cnf(i_0_190,axiom,
    ( X1 != X2
    | ~ disjoint(X3,X1)
    | disjoint(X3,X2) ) ).

cnf(i_0_191,axiom,
    ( X1 != X2
    | ~ equal_set(X1,X3)
    | equal_set(X2,X3) ) ).

cnf(i_0_192,axiom,
    ( X1 != X2
    | ~ equal_set(X3,X1)
    | equal_set(X3,X2) ) ).

cnf(i_0_193,axiom,
    ( X1 != X2
    | ~ equivalence(X1,X3)
    | equivalence(X2,X3) ) ).

cnf(i_0_194,axiom,
    ( X1 != X2
    | ~ equivalence(X3,X1)
    | equivalence(X3,X2) ) ).

cnf(i_0_195,plain,
    member(X1,unordered_pair(X1,X2)),
    inference(equality_inference,[],[156]) ).

cnf(i_0_196,plain,
    member(X1,unordered_pair(X2,X1)),
    inference(equality_inference,[],[157]) ).

cnf(i_0_197,plain,
    member(X1,singleton(X1)),
    inference(equality_inference,[],[164]) ).

cnf(i_0_198,plain,
    epred1_2(esk16_0,esk15_0),
    inference(scs_inference,[],[i_0_167,i_0_159]) ).

cnf(i_0_200,plain,
    disjoint(empty_set,X1),
    inference(scs_inference,[],[i_0_167,i_0_165,i_0_159,i_0_152]) ).

cnf(i_0_201,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_204,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_207,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_217,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_220,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_223,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_226,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_229,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_232,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_236,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_243,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_246,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_249,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_252,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_255,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_258,plain,
    pre_order(esk16_0,empty_set),
    nference(factoring_inference,[],[254]) ).

cnf(i_0_266,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_267,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_273,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_275,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_276,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_277,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_282,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_292,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_294,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_298,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_299,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_300,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_302,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_303,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_304,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_306,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_307,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_308,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_310,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_311,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_312,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_314,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_315,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_316,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_318,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_319,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_320,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_323,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_326,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_327,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_328,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_329,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_330,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_332,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_333,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_334,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_336,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_337,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_338,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_341,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_344,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_345,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_346,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_347,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_348,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_350,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_351,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_352,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_355,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_358,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_359,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_360,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_362,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_363,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_364,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_367,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_370,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_371,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_372,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_374,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_375,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_376,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_379,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_382,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_383,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_384,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_385,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_387,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_388,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_389,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_392,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_396,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_401,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_403,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_404,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_405,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_410,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_411,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_412,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_414,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_415,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_416,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_418,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_419,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_420,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_422,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_423,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_424,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_426,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_427,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_428,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_430,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_431,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_432,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_434,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_435,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_436,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_438,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_439,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_440,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_442,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_443,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_444,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_446,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_447,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_448,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_450,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_451,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_452,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_454,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_455,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_456,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_458,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_459,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_460,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_462,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_463,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_464,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_466,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_467,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_468,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_470,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_471,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_472,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_474,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_475,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_476,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_478,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_479,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_480,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_482,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_483,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_484,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_486,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_487,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_488,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_490,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_491,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_492,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_494,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_495,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_496,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_498,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_499,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_500,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_502,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_503,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_504,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_506,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_507,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_508,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_510,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_511,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_512,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_514,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_515,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_516,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_518,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_519,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_520,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_522,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_523,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_524,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_526,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_527,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_528,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_530,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_531,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_532,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_534,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_535,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_536,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_538,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_539,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_540,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_542,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_543,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_544,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_546,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_547,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_548,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_550,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_551,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_552,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_554,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_555,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_556,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_558,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_559,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_560,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_562,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_563,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_564,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_566,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_567,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_568,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_570,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_571,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_572,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_574,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_575,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_576,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_578,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_579,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_580,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_582,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_583,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_584,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_586,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_587,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_588,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_590,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_591,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_592,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_594,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_595,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_596,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_598,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_599,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_600,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_602,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_603,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_604,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_606,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_607,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_608,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_610,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_611,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_612,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_614,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_615,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_616,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_618,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_619,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_620,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_622,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_623,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_624,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_626,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_627,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_628,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_630,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_631,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_632,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_634,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_635,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_636,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_638,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_639,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_640,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_642,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_643,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_644,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_646,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_647,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_648,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_650,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_651,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_652,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_654,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_655,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_656,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_658,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_659,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_660,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_662,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_663,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_664,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_666,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_667,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_668,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_670,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_671,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_672,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_674,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_675,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_676,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_678,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_679,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_680,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_682,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_683,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_684,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_686,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_687,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_688,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_690,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_691,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_692,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_694,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_695,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_696,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_698,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_699,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_700,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_702,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_703,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_704,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_706,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_707,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_708,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_710,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_711,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_712,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_714,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_715,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_716,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_718,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_719,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_720,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_722,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_723,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_724,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_726,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_727,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_728,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_730,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_731,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_732,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_734,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_735,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_736,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_738,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_739,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_740,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_742,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_743,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_744,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_746,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_747,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_748,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_750,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_751,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_752,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_754,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_755,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_756,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_758,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_759,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_760,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_762,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_763,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_764,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_766,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_767,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_768,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_770,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_771,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_772,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_774,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_775,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_776,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_778,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_779,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_780,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_782,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_783,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_784,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_786,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_787,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_788,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_790,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_791,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_792,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_794,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_795,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_796,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_798,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_799,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_800,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_802,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_803,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_804,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_806,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_807,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_808,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_810,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_811,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_812,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_814,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_815,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_816,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_818,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_819,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_820,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_822,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_823,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_824,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_826,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_827,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_828,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_830,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_831,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_832,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_834,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_835,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_836,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_838,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_839,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_840,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_842,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_843,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_844,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_846,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_847,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_848,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_850,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_851,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_852,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_854,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_855,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_856,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_858,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_859,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_860,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_862,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_863,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_864,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_866,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_867,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_868,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_870,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_871,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_872,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_874,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_875,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_876,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_878,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_879,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_880,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_882,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_883,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_884,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_886,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_887,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_888,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_890,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_891,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_892,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_894,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_895,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_896,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_898,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_899,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_900,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_902,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_903,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_904,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_906,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_907,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_908,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_910,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_911,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_912,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_914,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_915,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_916,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_918,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_919,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_920,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_922,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_923,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_924,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_926,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_927,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_928,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_930,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_931,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_932,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_934,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_935,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_936,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_938,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_939,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_940,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_942,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_943,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_944,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_946,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_947,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_948,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_950,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_951,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_952,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_954,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_955,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_956,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_958,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_959,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_960,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_962,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_963,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_964,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_966,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_967,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_968,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_970,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_971,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_972,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_974,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_975,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_976,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_978,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_979,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_980,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_982,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_983,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_984,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_986,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_987,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_988,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_990,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_991,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_992,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_994,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_995,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_996,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_998,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_999,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1000,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1002,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1003,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1004,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1006,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1007,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1008,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1010,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1011,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1012,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1014,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1015,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1016,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1018,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1019,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1020,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1022,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1023,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1024,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1026,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1027,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1028,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1030,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1031,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1032,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1034,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1035,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1036,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1038,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1039,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1040,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1042,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1043,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1044,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1046,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1047,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1048,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1050,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1051,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1052,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1054,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1055,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1056,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1058,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1059,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1060,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1062,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1063,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1064,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1066,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1067,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1068,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1070,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1071,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1072,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1074,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1075,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1076,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1078,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1079,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1080,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1082,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1083,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1084,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1086,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1087,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1088,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1090,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1091,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1092,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1094,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1095,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1096,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1098,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1099,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1100,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1102,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1103,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1104,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1106,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1107,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1108,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1110,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1111,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1112,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1114,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1115,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1116,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1118,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1119,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1120,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1122,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1123,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1124,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1126,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1127,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1128,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1130,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1131,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1132,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1134,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1135,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1136,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1138,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1139,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1140,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1142,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1143,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1144,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1146,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1147,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1148,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1150,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1151,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1152,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1154,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1155,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1156,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1158,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1159,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1160,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1162,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1163,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1164,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1166,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1167,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1168,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1170,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1171,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1172,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1174,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1175,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1176,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1178,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1179,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1180,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1182,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1183,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1184,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1186,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1187,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1188,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1190,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1191,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1192,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1194,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1195,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1196,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1198,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1199,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1200,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1202,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1203,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1204,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1206,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1207,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1208,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1210,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1211,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1212,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1214,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1215,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1216,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1218,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1219,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1220,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1222,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1223,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1224,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1226,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1227,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1228,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1230,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1231,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1232,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1234,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1235,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1236,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1238,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1239,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1240,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1242,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1243,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1244,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1246,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1247,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1248,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1250,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1251,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1252,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1254,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1255,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1256,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1258,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1259,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1260,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1262,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1263,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1264,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1266,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1267,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1268,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1270,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1271,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1272,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1274,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1275,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1276,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1278,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1279,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1280,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1282,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1283,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1284,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1286,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1287,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1288,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1290,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1291,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1292,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1294,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1295,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1296,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1298,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1299,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1300,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1302,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1303,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1304,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1306,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1307,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1308,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1310,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1311,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1312,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1314,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1315,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1316,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1318,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1319,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1320,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1322,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1323,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1324,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1326,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1327,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1328,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1330,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1331,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1332,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1334,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1335,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1336,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1338,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1339,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1340,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1342,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1343,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1344,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1346,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1347,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1348,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1350,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1351,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1352,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1354,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1355,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1356,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1358,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1359,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1360,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1362,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1363,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1364,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1366,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1367,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1368,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1370,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1371,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1372,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1374,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1375,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1376,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1378,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1379,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1380,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1382,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1383,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1384,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1386,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1387,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1388,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1390,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1391,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1392,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1394,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1395,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1396,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1398,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1399,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1400,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1402,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1403,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1404,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1406,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1407,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1408,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1410,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1411,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1412,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1414,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1415,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1416,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1418,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1419,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1420,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1422,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1423,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1424,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1426,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1427,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1428,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1430,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1431,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1432,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1434,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1435,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1436,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1438,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1439,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1440,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1442,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1443,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1444,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1446,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1447,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1448,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1450,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1451,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1452,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1454,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1455,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1456,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1458,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1459,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1460,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1462,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1463,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1464,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1466,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1467,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1468,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1470,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1471,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1472,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1474,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1475,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1476,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1478,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1479,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1480,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1482,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1483,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1484,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1486,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1487,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1488,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1490,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1491,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1492,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1494,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1495,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1496,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1498,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1499,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1500,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1502,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1503,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1504,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1506,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1507,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1508,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1510,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1511,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1512,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1514,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1515,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1516,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1518,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1519,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1520,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1522,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1523,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1524,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1526,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1527,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1528,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1530,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1531,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1532,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1534,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1535,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1536,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1538,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1539,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1540,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1542,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1543,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1544,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1546,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1547,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1548,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1550,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1551,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1552,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1554,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1555,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1556,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1558,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1559,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1560,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1562,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1563,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1564,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1566,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1567,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1568,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1570,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1571,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1572,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1574,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1575,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1576,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1578,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1579,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1580,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1582,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1583,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1584,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1586,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1587,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1588,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1590,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1591,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1592,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1594,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1595,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1596,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1598,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1599,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1600,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1602,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1603,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1604,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1606,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1607,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1608,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1610,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1611,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1612,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1614,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1615,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1616,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1618,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1619,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1620,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1622,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1623,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1624,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1626,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1627,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1628,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1630,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1631,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1632,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1634,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1635,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1636,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1638,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1639,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1640,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1642,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1643,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1644,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1646,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1647,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1648,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1650,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1651,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1652,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1654,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1655,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1656,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1658,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1659,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1660,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1662,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1663,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1664,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1666,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1667,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1668,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1670,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1671,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1672,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1674,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1675,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1676,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1678,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1679,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1680,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1682,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1683,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1684,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1686,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1687,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1688,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1690,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1691,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1692,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1694,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1695,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1696,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1698,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1699,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1700,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1702,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1703,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1704,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1706,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1707,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1708,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1710,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1711,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1712,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1714,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1715,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1716,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1718,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1719,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1720,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1722,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1723,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1724,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1726,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1727,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1728,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1730,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1731,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1732,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1734,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1735,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1736,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1738,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1739,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1740,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1742,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1743,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1744,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1746,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1747,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1748,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1750,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1751,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1752,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1754,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1755,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1756,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1758,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1759,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1760,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1762,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1763,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1764,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1766,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1767,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1768,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1770,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1771,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1772,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1774,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1775,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1776,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1778,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1779,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1780,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1782,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1783,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1784,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1786,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1787,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1788,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1790,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1791,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1792,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1794,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1795,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1796,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1798,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1799,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1800,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1802,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1803,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1804,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1806,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1807,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1808,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1810,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1811,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1812,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1814,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1815,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1816,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1818,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1819,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1820,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1822,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1823,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1824,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1826,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1827,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1828,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1830,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1831,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1832,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1834,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1835,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1836,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1838,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1839,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1840,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1842,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1843,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1844,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1846,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1847,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1848,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1850,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1851,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1852,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1854,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1855,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1856,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1858,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1859,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1860,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1862,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1863,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1864,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1866,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1867,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1868,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1870,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1871,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1872,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1874,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1875,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1876,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1878,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1879,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1880,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1882,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1883,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1884,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1886,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1887,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1888,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1890,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1891,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1892,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1894,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1895,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1896,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1898,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1899,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1900,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1902,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1903,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1904,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1906,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1907,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1908,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1910,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1911,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1912,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1914,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1915,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1916,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1918,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1919,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1920,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1922,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1923,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1924,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1926,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1927,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1928,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1930,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1931,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1932,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1934,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1935,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1936,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1938,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1939,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1940,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1942,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1943,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1944,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1946,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1947,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1948,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1950,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1951,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1952,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1954,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1955,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1956,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1958,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1959,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1960,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1962,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1963,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1964,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1966,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1967,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1968,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1970,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1971,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1972,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1974,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1975,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1976,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1978,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1979,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1980,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1982,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1983,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1984,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1986,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1987,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1988,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1990,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1991,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1992,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1994,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1995,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1996,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1998,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_1999,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2000,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2002,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2003,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2004,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2006,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2007,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2008,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2010,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2011,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2012,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2014,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2015,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2016,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2018,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2019,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2020,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2022,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2023,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2024,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2026,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2027,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2028,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2030,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2031,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2032,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2034,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2035,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2036,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2038,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2039,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2040,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2042,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2043,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2044,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2046,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2047,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2048,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2050,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2051,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2052,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2054,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2055,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2056,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2058,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2059,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2060,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2062,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2063,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2064,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2066,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2067,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2068,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2070,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2071,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2072,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2074,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2075,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2076,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2078,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2079,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2080,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2082,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2083,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2084,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2086,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2087,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2088,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2090,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2091,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2092,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2094,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2095,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2096,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2098,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2099,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2100,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2102,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2103,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2104,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2106,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2107,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2108,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2110,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2111,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2112,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2114,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2115,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2116,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2118,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2119,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2120,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2122,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2123,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2124,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2126,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2127,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2128,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2130,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2131,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2132,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2134,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2135,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2136,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2138,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2139,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2140,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2142,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2143,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2144,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2146,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2147,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2148,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2150,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2151,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2152,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2154,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2155,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2156,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2158,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2159,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2160,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2162,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2163,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2164,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2166,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2167,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2168,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2170,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2171,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2172,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(i_0_2174,plain,
    ~ member(X1,empty_set),
    inference(rename_variables,[],[i_0_165]) ).

cnf(c_0_269,plain,
    ( apply(X1,X2,X3)
    | ~ member(X3,X4)
    | ~ member(X2,X4)
    | ~ apply(X1,X3,X2)
    | ~ epred1_2(X1,X4) ),
    i_0_88 ).

cnf(c_0_270,plain,
    ( apply(X1,esk12_2(X1,X2),esk13_2(X1,X2))
    | member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    i_0_113 ).

cnf(c_0_271,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | apply(X1,esk13_2(X1,X2),esk12_2(X1,X2))
    | ~ member(esk12_2(X1,X2),X3)
    | ~ member(esk13_2(X1,X2),X3)
    | ~ epred1_2(X1,X3) ),
    inference(spm,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_272,plain,
    ( member(esk12_2(X1,X2),X2)
    | member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    i_0_130 ).

cnf(c_0_273,plain,
    ( member(esk13_2(X1,X2),X2)
    | member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    i_0_129 ).

cnf(c_0_274,plain,
    ( apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))
    | member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    i_0_112 ).

cnf(c_0_275,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | apply(X1,esk13_2(X1,X2),esk12_2(X1,X2))
    | ~ epred1_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_273]) ).

cnf(c_0_276,plain,
    epred1_2(esk16_0,esk15_0),
    i_0_198 ).

cnf(c_0_277,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))
    | ~ member(esk13_2(X1,X2),X3)
    | ~ member(esk14_2(X1,X2),X3)
    | ~ epred1_2(X1,X3) ),
    inference(spm,[status(thm)],[c_0_269,c_0_274]) ).

cnf(c_0_278,plain,
    ( member(esk14_2(X1,X2),X2)
    | member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2) ),
    i_0_128 ).

cnf(c_0_279,plain,
    ( apply(X1,X2,X3)
    | ~ member(X2,X4)
    | ~ member(X5,X4)
    | ~ member(X3,X4)
    | ~ apply(X1,X2,X5)
    | ~ apply(X1,X5,X3)
    | ~ epred1_2(X1,X4) ),
    i_0_63 ).

cnf(c_0_280,plain,
    ( pre_order(esk16_0,esk15_0)
    | member(esk11_2(esk16_0,esk15_0),esk15_0)
    | apply(esk16_0,esk13_2(esk16_0,esk15_0),esk12_2(esk16_0,esk15_0)) ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_281,plain,
    ( pre_order(X1,X2)
    | member(esk11_2(X1,X2),X2)
    | apply(X1,esk14_2(X1,X2),esk13_2(X1,X2))
    | ~ epred1_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_273]),c_0_278]) ).

cnf(c_0_282,plain,
    ( pre_order(esk16_0,esk15_0)
    | member(esk11_2(esk16_0,esk15_0),esk15_0)
    | apply(esk16_0,X1,esk12_2(esk16_0,esk15_0))
    | ~ member(esk13_2(esk16_0,esk15_0),X2)
    | ~ member(esk12_2(esk16_0,esk15_0),X2)
    | ~ member(X1,X2)
    | ~ apply(esk16_0,X1,esk13_2(esk16_0,esk15_0))
    | ~ epred1_2(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_283,plain,
    ( pre_order(esk16_0,esk15_0)
    | member(esk11_2(esk16_0,esk15_0),esk15_0)
    | apply(esk16_0,esk14_2(esk16_0,esk15_0),esk13_2(esk16_0,esk15_0)) ),
    inference(spm,[status(thm)],[c_0_281,c_0_276]) ).

cnf(c_0_284,plain,
    ( pre_order(esk16_0,esk15_0)
    | member(esk11_2(esk16_0,esk15_0),esk15_0)
    | apply(esk16_0,esk14_2(esk16_0,esk15_0),esk12_2(esk16_0,esk15_0))
    | ~ member(esk13_2(esk16_0,esk15_0),X1)
    | ~ member(esk12_2(esk16_0,esk15_0),X1)
    | ~ member(esk14_2(esk16_0,esk15_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_282,c_0_283]) ).

cnf(c_0_285,plain,
    ( pre_order(esk16_0,esk15_0)
    | member(esk11_2(esk16_0,esk15_0),esk15_0)
    | apply(esk16_0,esk14_2(esk16_0,esk15_0),esk12_2(esk16_0,esk15_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_273]),c_0_276])]),c_0_278]),c_0_272]) ).

cnf(c_0_286,plain,
    ( member(esk11_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,esk12_2(X1,X2),esk14_2(X1,X2)) ),
    i_0_87 ).

cnf(c_0_287,plain,
    ( pre_order(esk16_0,esk15_0)
    | member(esk11_2(esk16_0,esk15_0),esk15_0)
    | ~ member(esk14_2(esk16_0,esk15_0),X1)
    | ~ member(esk12_2(esk16_0,esk15_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_285]),c_0_286]) ).

cnf(c_0_288,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ epred1_2(X1,X3) ),
    i_0_126 ).

cnf(c_0_289,plain,
    ( pre_order(esk16_0,esk15_0)
    | member(esk11_2(esk16_0,esk15_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_278]),c_0_276])]),c_0_272]) ).

cnf(c_0_290,plain,
    ( pre_order(esk16_0,esk15_0)
    | apply(X1,esk11_2(esk16_0,esk15_0),esk11_2(esk16_0,esk15_0))
    | ~ epred1_2(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_291,plain,
    ( member(X1,X2)
    | ~ subset(X3,X2)
    | ~ member(X1,X3) ),
    i_0_150 ).

cnf(c_0_292,negated_conjecture,
    subset(esk17_0,esk15_0),
    i_0_168 ).

cnf(c_0_293,plain,
    ( apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))
    | pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    i_0_65 ).

cnf(c_0_294,plain,
    ( pre_order(esk16_0,esk15_0)
    | apply(esk16_0,esk11_2(esk16_0,esk15_0),esk11_2(esk16_0,esk15_0)) ),
    inference(spm,[status(thm)],[c_0_290,c_0_276]) ).

cnf(c_0_295,negated_conjecture,
    ( member(X1,esk15_0)
    | ~ member(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_291,c_0_292]) ).

cnf(c_0_296,plain,
    ( member(esk21_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    i_0_122 ).

cnf(c_0_297,plain,
    ( pre_order(esk16_0,esk15_0)
    | apply(esk16_0,esk13_2(esk16_0,esk15_0),esk14_2(esk16_0,esk15_0)) ),
    inference(spm,[status(thm)],[c_0_293,c_0_294]) ).

cnf(c_0_298,plain,
    ( apply(X1,esk12_2(X1,X2),esk13_2(X1,X2))
    | pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    i_0_66 ).

cnf(c_0_299,plain,
    ( member(esk21_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    i_0_119 ).

cnf(c_0_300,negated_conjecture,
    ( member(esk18_2(esk17_0,X1),esk17_0)
    | member(esk19_2(esk17_0,X1),esk17_0)
    | member(esk21_2(esk17_0,X1),esk15_0)
    | epred1_2(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_296]) ).

cnf(c_0_301,plain,
    ( pre_order(esk16_0,esk15_0)
    | apply(esk16_0,X1,esk14_2(esk16_0,esk15_0))
    | ~ member(esk13_2(esk16_0,esk15_0),X2)
    | ~ member(esk14_2(esk16_0,esk15_0),X2)
    | ~ member(X1,X2)
    | ~ apply(esk16_0,X1,esk13_2(esk16_0,esk15_0))
    | ~ epred1_2(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_279,c_0_297]) ).

cnf(c_0_302,plain,
    ( pre_order(esk16_0,esk15_0)
    | apply(esk16_0,esk12_2(esk16_0,esk15_0),esk13_2(esk16_0,esk15_0)) ),
    inference(spm,[status(thm)],[c_0_298,c_0_294]) ).

cnf(c_0_303,plain,
    ( member(esk13_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    i_0_85 ).

cnf(c_0_304,plain,
    ( member(esk12_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    i_0_86 ).

cnf(c_0_305,plain,
    ( member(esk14_2(X1,X2),X2)
    | pre_order(X1,X2)
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    i_0_84 ).

cnf(c_0_306,negated_conjecture,
    ( member(esk18_2(esk17_0,X1),esk17_0)
    | member(esk20_2(esk17_0,X1),esk17_0)
    | member(esk21_2(esk17_0,X1),esk15_0)
    | epred1_2(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_299]) ).

cnf(c_0_307,plain,
    ( apply(X1,X2,X3)
    | ~ member(X2,X4)
    | ~ member(X5,X4)
    | ~ member(X3,X4)
    | ~ apply(X1,X2,X5)
    | ~ apply(X1,X5,X3)
    | ~ pre_order(X1,X4) ),
    i_0_64 ).

cnf(c_0_308,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | member(esk19_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    i_0_98 ).

cnf(c_0_309,plain,
    ( member(esk19_2(esk17_0,X1),esk17_0)
    | member(esk18_2(esk17_0,X1),esk17_0)
    | apply(X2,esk21_2(esk17_0,X1),esk21_2(esk17_0,X1))
    | epred1_2(X1,esk17_0)
    | ~ epred1_2(X2,esk15_0) ),
    inference(spm,[status(thm)],[c_0_288,c_0_300]) ).

cnf(c_0_310,negated_conjecture,
    ~ equivalence(esk16_0,esk17_0),
    i_0_166 ).

cnf(c_0_311,plain,
    ( equivalence(X1,X2)
    | ~ epred1_2(X1,X2) ),
    i_0_160 ).

cnf(c_0_312,plain,
    ( pre_order(esk16_0,esk15_0)
    | apply(esk16_0,esk12_2(esk16_0,esk15_0),esk14_2(esk16_0,esk15_0))
    | ~ member(esk13_2(esk16_0,esk15_0),X1)
    | ~ member(esk14_2(esk16_0,esk15_0),X1)
    | ~ member(esk12_2(esk16_0,esk15_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_301,c_0_302]) ).

cnf(c_0_313,plain,
    ( pre_order(esk16_0,esk15_0)
    | member(esk13_2(esk16_0,esk15_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_303,c_0_294]) ).

cnf(c_0_314,plain,
    ( pre_order(esk16_0,esk15_0)
    | member(esk12_2(esk16_0,esk15_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_304,c_0_294]) ).

cnf(c_0_315,plain,
    ( pre_order(esk16_0,esk15_0)
    | member(esk14_2(esk16_0,esk15_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_305,c_0_294]) ).

cnf(c_0_316,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | member(esk20_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    i_0_96 ).

cnf(c_0_317,plain,
    ( member(esk20_2(esk17_0,X1),esk17_0)
    | member(esk18_2(esk17_0,X1),esk17_0)
    | apply(X2,esk21_2(esk17_0,X1),esk21_2(esk17_0,X1))
    | epred1_2(X1,esk17_0)
    | ~ epred1_2(X2,esk15_0) ),
    inference(spm,[status(thm)],[c_0_288,c_0_306]) ).

cnf(c_0_318,plain,
    ( member(esk18_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | apply(X2,X3,esk22_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ pre_order(X2,X4)
    | ~ member(esk21_2(X1,X2),X4)
    | ~ member(esk22_2(X1,X2),X4)
    | ~ member(X3,X4)
    | ~ apply(X2,X3,esk21_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_307,c_0_308]) ).

cnf(c_0_319,plain,
    ( member(esk18_2(esk17_0,X1),esk17_0)
    | member(esk19_2(esk17_0,X1),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,X1),esk21_2(esk17_0,X1))
    | epred1_2(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_309,c_0_276]) ).

cnf(c_0_320,negated_conjecture,
    ~ epred1_2(esk16_0,esk17_0),
    inference(spm,[status(thm)],[c_0_310,c_0_311]) ).

cnf(c_0_321,plain,
    ( pre_order(X1,X2)
    | ~ apply(X1,esk12_2(X1,X2),esk14_2(X1,X2))
    | ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
    i_0_52 ).

cnf(c_0_322,plain,
    ( pre_order(esk16_0,esk15_0)
    | apply(esk16_0,esk12_2(esk16_0,esk15_0),esk14_2(esk16_0,esk15_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_313]),c_0_276])]),c_0_314]),c_0_315]) ).

cnf(c_0_323,plain,
    ( member(esk18_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | apply(X2,X3,esk22_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ pre_order(X2,X4)
    | ~ member(esk21_2(X1,X2),X4)
    | ~ member(esk22_2(X1,X2),X4)
    | ~ member(X3,X4)
    | ~ apply(X2,X3,esk21_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_307,c_0_316]) ).

cnf(c_0_324,plain,
    ( member(esk18_2(esk17_0,X1),esk17_0)
    | member(esk20_2(esk17_0,X1),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,X1),esk21_2(esk17_0,X1))
    | epred1_2(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_317,c_0_276]) ).

cnf(c_0_325,plain,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_320]) ).

cnf(c_0_326,plain,
    pre_order(esk16_0,esk15_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_294]) ).

cnf(c_0_327,plain,
    ( member(esk22_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    i_0_121 ).

cnf(c_0_328,plain,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_320]) ).

cnf(c_0_329,plain,
    ( member(esk22_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    i_0_118 ).

cnf(c_0_330,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | member(esk19_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    i_0_97 ).

cnf(c_0_331,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk19_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
    | ~ member(esk22_2(esk17_0,esk16_0),esk15_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_300]),c_0_326])]),c_0_320]) ).

cnf(c_0_332,negated_conjecture,
    ( member(esk18_2(esk17_0,X1),esk17_0)
    | member(esk19_2(esk17_0,X1),esk17_0)
    | member(esk22_2(esk17_0,X1),esk15_0)
    | epred1_2(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_327]) ).

cnf(c_0_333,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | member(esk20_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    i_0_95 ).

cnf(c_0_334,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk20_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
    | ~ member(esk22_2(esk17_0,esk16_0),esk15_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_306]),c_0_326])]),c_0_320]) ).

cnf(c_0_335,negated_conjecture,
    ( member(esk18_2(esk17_0,X1),esk17_0)
    | member(esk20_2(esk17_0,X1),esk17_0)
    | member(esk22_2(esk17_0,X1),esk15_0)
    | epred1_2(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_329]) ).

cnf(c_0_336,plain,
    ( member(esk18_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | apply(X2,X3,esk23_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ pre_order(X2,X4)
    | ~ member(esk22_2(X1,X2),X4)
    | ~ member(esk23_2(X1,X2),X4)
    | ~ member(X3,X4)
    | ~ apply(X2,X3,esk22_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_307,c_0_330]) ).

cnf(c_0_337,negated_conjecture,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_320]) ).

cnf(c_0_338,plain,
    ( member(esk18_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | apply(X2,X3,esk23_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ pre_order(X2,X4)
    | ~ member(esk22_2(X1,X2),X4)
    | ~ member(esk23_2(X1,X2),X4)
    | ~ member(X3,X4)
    | ~ apply(X2,X3,esk22_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_307,c_0_333]) ).

cnf(c_0_339,negated_conjecture,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_320]) ).

cnf(c_0_340,negated_conjecture,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ member(esk23_2(esk17_0,esk16_0),X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_320]) ).

cnf(c_0_341,plain,
    ( member(esk23_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    i_0_120 ).

cnf(c_0_342,negated_conjecture,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ member(esk23_2(esk17_0,esk16_0),X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_320]) ).

cnf(c_0_343,plain,
    ( member(esk23_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    i_0_117 ).

cnf(c_0_344,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk19_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ member(esk23_2(esk17_0,esk16_0),esk15_0)
    | ~ member(esk21_2(esk17_0,esk16_0),esk15_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_332]),c_0_326])]),c_0_320]) ).

cnf(c_0_345,negated_conjecture,
    ( member(esk18_2(esk17_0,X1),esk17_0)
    | member(esk19_2(esk17_0,X1),esk17_0)
    | member(esk23_2(esk17_0,X1),esk15_0)
    | epred1_2(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_341]) ).

cnf(c_0_346,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk20_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ member(esk23_2(esk17_0,esk16_0),esk15_0)
    | ~ member(esk21_2(esk17_0,esk16_0),esk15_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_335]),c_0_326])]),c_0_320]) ).

cnf(c_0_347,negated_conjecture,
    ( member(esk18_2(esk17_0,X1),esk17_0)
    | member(esk20_2(esk17_0,X1),esk17_0)
    | member(esk23_2(esk17_0,X1),esk15_0)
    | epred1_2(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_343]) ).

cnf(c_0_348,negated_conjecture,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ member(esk21_2(esk17_0,esk16_0),esk15_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_320]) ).

cnf(c_0_349,negated_conjecture,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ member(esk21_2(esk17_0,esk16_0),esk15_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_320]) ).

cnf(c_0_350,plain,
    ( member(esk19_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk21_2(X1,X2),esk23_2(X1,X2)) ),
    i_0_70 ).

cnf(c_0_351,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk19_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_300]),c_0_320]) ).

cnf(c_0_352,plain,
    ( member(esk20_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk21_2(X1,X2),esk23_2(X1,X2)) ),
    i_0_69 ).

cnf(c_0_353,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk20_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_306]),c_0_320]) ).

cnf(c_0_354,negated_conjecture,
    ( pre_order(X1,esk17_0)
    | member(esk11_2(X1,esk17_0),esk17_0)
    | member(esk12_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_272]) ).

cnf(c_0_355,negated_conjecture,
    ( pre_order(X1,esk17_0)
    | member(esk11_2(X1,esk17_0),esk17_0)
    | member(esk13_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_273]) ).

cnf(c_0_356,plain,
    ( member(esk21_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    i_0_101 ).

cnf(c_0_357,plain,
    ( member(esk21_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2)) ),
    i_0_79 ).

cnf(c_0_358,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk19_2(esk17_0,esk16_0),esk17_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_320]) ).

cnf(c_0_359,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk20_2(esk17_0,esk16_0),esk17_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_320]) ).

cnf(c_0_360,negated_conjecture,
    ( pre_order(X1,esk17_0)
    | member(esk11_2(X1,esk17_0),esk17_0)
    | apply(X1,esk13_2(X1,esk17_0),esk12_2(X1,esk17_0))
    | ~ epred1_2(X1,esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_354]),c_0_355]) ).

cnf(c_0_361,negated_conjecture,
    ( pre_order(X1,esk17_0)
    | member(esk11_2(X1,esk17_0),esk17_0)
    | member(esk14_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_278]) ).

cnf(c_0_362,plain,
    ( member(esk18_2(X1,X2),X1)
    | member(esk21_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ member(esk19_2(X1,X2),X3)
    | ~ member(esk20_2(X1,X2),X3)
    | ~ epred1_2(X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_356]),c_0_357]) ).

cnf(c_0_363,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk19_2(esk17_0,esk16_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_358]) ).

cnf(c_0_364,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk20_2(esk17_0,esk16_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_359]) ).

cnf(c_0_365,plain,
    ( pre_order(esk16_0,esk17_0)
    | member(esk11_2(esk16_0,esk17_0),esk17_0)
    | apply(esk16_0,esk13_2(esk16_0,esk17_0),esk12_2(esk16_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_360,c_0_276]) ).

cnf(c_0_366,negated_conjecture,
    ( pre_order(X1,esk17_0)
    | member(esk11_2(X1,esk17_0),esk17_0)
    | apply(X1,esk14_2(X1,esk17_0),esk13_2(X1,esk17_0))
    | ~ epred1_2(X1,esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_355]),c_0_361]) ).

cnf(c_0_367,plain,
    ( member(esk21_2(esk17_0,esk16_0),esk17_0)
    | member(esk18_2(esk17_0,esk16_0),esk17_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_276])]),c_0_320]),c_0_364]) ).

cnf(c_0_368,plain,
    ( pre_order(esk16_0,esk17_0)
    | member(esk11_2(esk16_0,esk17_0),esk17_0)
    | apply(esk16_0,X1,esk12_2(esk16_0,esk17_0))
    | ~ member(esk13_2(esk16_0,esk17_0),X2)
    | ~ member(esk12_2(esk16_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ apply(esk16_0,X1,esk13_2(esk16_0,esk17_0))
    | ~ epred1_2(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_279,c_0_365]) ).

cnf(c_0_369,plain,
    ( pre_order(esk16_0,esk17_0)
    | member(esk11_2(esk16_0,esk17_0),esk17_0)
    | apply(esk16_0,esk14_2(esk16_0,esk17_0),esk13_2(esk16_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_366,c_0_276]) ).

cnf(c_0_370,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk21_2(esk17_0,esk16_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_367]) ).

cnf(c_0_371,plain,
    ( member(esk22_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    i_0_100 ).

cnf(c_0_372,plain,
    ( member(esk22_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2)) ),
    i_0_78 ).

cnf(c_0_373,plain,
    ( pre_order(esk16_0,esk17_0)
    | member(esk11_2(esk16_0,esk17_0),esk17_0)
    | apply(esk16_0,esk14_2(esk16_0,esk17_0),esk12_2(esk16_0,esk17_0))
    | ~ member(esk13_2(esk16_0,esk17_0),X1)
    | ~ member(esk12_2(esk16_0,esk17_0),X1)
    | ~ member(esk14_2(esk16_0,esk17_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_374,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    i_0_68 ).

cnf(c_0_375,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(X1,esk21_2(esk17_0,esk16_0),esk21_2(esk17_0,esk16_0))
    | ~ epred1_2(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_288,c_0_370]) ).

cnf(c_0_376,plain,
    ( member(esk22_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ member(esk19_2(X1,X2),X3)
    | ~ member(esk20_2(X1,X2),X3)
    | ~ epred1_2(X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_371]),c_0_372]) ).

cnf(c_0_377,negated_conjecture,
    ( pre_order(esk16_0,esk17_0)
    | member(esk11_2(esk16_0,esk17_0),esk17_0)
    | apply(esk16_0,esk14_2(esk16_0,esk17_0),esk12_2(esk16_0,esk17_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_355]),c_0_276])]),c_0_361]),c_0_354]) ).

cnf(c_0_378,plain,
    ( member(esk18_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | apply(X2,X3,esk22_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ pre_order(X2,X4)
    | ~ member(esk21_2(X1,X2),X4)
    | ~ member(esk22_2(X1,X2),X4)
    | ~ member(X3,X4)
    | ~ apply(X2,X3,esk21_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_307,c_0_374]) ).

cnf(c_0_379,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk21_2(esk17_0,esk16_0)) ),
    inference(spm,[status(thm)],[c_0_375,c_0_276]) ).

cnf(c_0_380,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk22_2(esk17_0,esk16_0),esk17_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_363]),c_0_276])]),c_0_320]),c_0_364]) ).

cnf(c_0_381,plain,
    ( member(esk23_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1) ),
    i_0_99 ).

cnf(c_0_382,plain,
    ( member(esk23_2(X1,X2),X1)
    | member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2)) ),
    i_0_77 ).

cnf(c_0_383,plain,
    ( pre_order(esk16_0,esk17_0)
    | member(esk11_2(esk16_0,esk17_0),esk17_0)
    | ~ member(esk14_2(esk16_0,esk17_0),X1)
    | ~ member(esk12_2(esk16_0,esk17_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_377]),c_0_286]) ).

cnf(c_0_384,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2) ),
    i_0_67 ).

cnf(c_0_385,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
    | apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_320]) ).

cnf(c_0_386,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk22_2(esk17_0,esk16_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_380]) ).

cnf(c_0_387,plain,
    ( member(esk18_2(X1,X2),X1)
    | member(esk23_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ member(esk19_2(X1,X2),X3)
    | ~ member(esk20_2(X1,X2),X3)
    | ~ epred1_2(X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_381]),c_0_382]) ).

cnf(c_0_388,negated_conjecture,
    ( pre_order(esk16_0,esk17_0)
    | member(esk11_2(esk16_0,esk17_0),esk17_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_361]),c_0_276])]),c_0_354]) ).

cnf(c_0_389,plain,
    ( member(esk18_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | apply(X2,X3,esk23_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ pre_order(X2,X4)
    | ~ member(esk22_2(X1,X2),X4)
    | ~ member(esk23_2(X1,X2),X4)
    | ~ member(X3,X4)
    | ~ apply(X2,X3,esk22_2(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_307,c_0_384]) ).

cnf(c_0_390,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_370]),c_0_326])]),c_0_386]) ).

cnf(c_0_391,plain,
    ( member(esk23_2(esk17_0,esk16_0),esk17_0)
    | member(esk18_2(esk17_0,esk16_0),esk17_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_363]),c_0_276])]),c_0_320]),c_0_364]) ).

cnf(c_0_392,negated_conjecture,
    ( pre_order(esk16_0,esk17_0)
    | member(esk11_2(esk16_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_388]) ).

cnf(c_0_393,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ member(esk23_2(esk17_0,esk16_0),X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_320]) ).

cnf(c_0_394,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | member(esk23_2(esk17_0,esk16_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_391]) ).

cnf(c_0_395,plain,
    ( pre_order(esk16_0,esk17_0)
    | apply(X1,esk11_2(esk16_0,esk17_0),esk11_2(esk16_0,esk17_0))
    | ~ epred1_2(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_288,c_0_392]) ).

cnf(c_0_396,plain,
    ( apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_59 ).

cnf(c_0_397,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_386]),c_0_326])]),c_0_370]),c_0_394]) ).

cnf(c_0_398,plain,
    ( pre_order(esk16_0,esk17_0)
    | apply(esk16_0,esk11_2(esk16_0,esk17_0),esk11_2(esk16_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_395,c_0_276]) ).

cnf(c_0_399,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_397]),c_0_320]) ).

cnf(c_0_400,plain,
    ( pre_order(esk16_0,esk17_0)
    | apply(esk16_0,esk13_2(esk16_0,esk17_0),esk14_2(esk16_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_293,c_0_398]) ).

cnf(c_0_401,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
    | ~ member(esk19_2(esk17_0,esk16_0),X1)
    | ~ member(esk20_2(esk17_0,esk16_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_269,c_0_399]) ).

cnf(c_0_402,plain,
    ( pre_order(esk16_0,esk17_0)
    | apply(esk16_0,X1,esk14_2(esk16_0,esk17_0))
    | ~ member(esk13_2(esk16_0,esk17_0),X2)
    | ~ member(esk14_2(esk16_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ apply(esk16_0,X1,esk13_2(esk16_0,esk17_0))
    | ~ epred1_2(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_279,c_0_400]) ).

cnf(c_0_403,plain,
    ( pre_order(esk16_0,esk17_0)
    | apply(esk16_0,esk12_2(esk16_0,esk17_0),esk13_2(esk16_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_298,c_0_398]) ).

cnf(c_0_404,plain,
    ( pre_order(esk16_0,esk17_0)
    | member(esk13_2(esk16_0,esk17_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_303,c_0_398]) ).

cnf(c_0_405,plain,
    ( pre_order(esk16_0,esk17_0)
    | member(esk12_2(esk16_0,esk17_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_304,c_0_398]) ).

cnf(c_0_406,plain,
    ( pre_order(esk16_0,esk17_0)
    | member(esk14_2(esk16_0,esk17_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_305,c_0_398]) ).

cnf(c_0_407,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_57 ).

cnf(c_0_408,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_363]),c_0_276])]),c_0_364]) ).

cnf(c_0_409,plain,
    ( pre_order(esk16_0,esk17_0)
    | apply(esk16_0,esk12_2(esk16_0,esk17_0),esk14_2(esk16_0,esk17_0))
    | ~ member(esk13_2(esk16_0,esk17_0),X1)
    | ~ member(esk14_2(esk16_0,esk17_0),X1)
    | ~ member(esk12_2(esk16_0,esk17_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_402,c_0_403]) ).

cnf(c_0_410,negated_conjecture,
    ( pre_order(esk16_0,esk17_0)
    | member(esk13_2(esk16_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_404]) ).

cnf(c_0_411,negated_conjecture,
    ( pre_order(esk16_0,esk17_0)
    | member(esk12_2(esk16_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_405]) ).

cnf(c_0_412,negated_conjecture,
    ( pre_order(esk16_0,esk17_0)
    | member(esk14_2(esk16_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_406]) ).

cnf(c_0_413,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk22_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_320]) ).

cnf(c_0_414,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | member(esk18_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_58 ).

cnf(c_0_415,negated_conjecture,
    ( pre_order(esk16_0,esk17_0)
    | apply(esk16_0,esk12_2(esk16_0,esk17_0),esk14_2(esk16_0,esk17_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_276])]),c_0_411]),c_0_412]) ).

cnf(c_0_416,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X2)
    | ~ member(esk22_2(esk17_0,esk16_0),X2)
    | ~ member(esk23_2(esk17_0,esk16_0),X2)
    | ~ member(X1,X2)
    | ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0)) ),
    inference(spm,[status(thm)],[c_0_307,c_0_413]) ).

cnf(c_0_417,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_408]),c_0_320]) ).

cnf(c_0_418,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ pre_order(X1,X3) ),
    i_0_127 ).

cnf(c_0_419,plain,
    pre_order(esk16_0,esk17_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_415]),c_0_398]) ).

cnf(c_0_420,plain,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ member(esk23_2(esk17_0,esk16_0),X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1) ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_421,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | member(esk19_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_55 ).

cnf(c_0_422,plain,
    ( apply(esk16_0,X1,X1)
    | ~ member(X1,esk17_0) ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_423,plain,
    ( member(esk18_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk21_2(X1,X2),esk23_2(X1,X2))
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2)) ),
    i_0_48 ).

cnf(c_0_424,negated_conjecture,
    ( member(esk18_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_386]),c_0_326])]),c_0_370]),c_0_394]) ).

cnf(c_0_425,plain,
    ( member(esk19_2(X1,esk16_0),X1)
    | apply(esk16_0,esk22_2(X1,esk16_0),esk23_2(X1,esk16_0))
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_426,plain,
    member(esk18_2(esk17_0,esk16_0),esk17_0),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_320]),c_0_408]) ).

cnf(c_0_427,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | member(esk19_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_56 ).

cnf(c_0_428,plain,
    ( member(esk22_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_75 ).

cnf(c_0_429,plain,
    ( member(esk21_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_76 ).

cnf(c_0_430,plain,
    ( member(esk23_2(X1,X2),X1)
    | member(esk19_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_74 ).

cnf(c_0_431,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | member(esk20_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_53 ).

cnf(c_0_432,plain,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk22_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_320]) ).

cnf(c_0_433,plain,
    ( member(esk19_2(X1,esk16_0),X1)
    | apply(esk16_0,esk21_2(X1,esk16_0),esk22_2(X1,esk16_0))
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_427,c_0_422]) ).

cnf(c_0_434,plain,
    ( member(esk22_2(X1,esk16_0),X1)
    | member(esk19_2(X1,esk16_0),X1)
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_428,c_0_422]) ).

cnf(c_0_435,plain,
    ( member(esk19_2(X1,esk16_0),X1)
    | member(esk21_2(X1,esk16_0),X1)
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_429,c_0_422]) ).

cnf(c_0_436,plain,
    ( member(esk19_2(X1,esk16_0),X1)
    | member(esk23_2(X1,esk16_0),X1)
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_430,c_0_422]) ).

cnf(c_0_437,plain,
    ( member(esk20_2(X1,esk16_0),X1)
    | apply(esk16_0,esk22_2(X1,esk16_0),esk23_2(X1,esk16_0))
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_431,c_0_422]) ).

cnf(c_0_438,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | member(esk20_2(X2,X1),X2)
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_54 ).

cnf(c_0_439,plain,
    ( member(esk22_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_72 ).

cnf(c_0_440,plain,
    ( member(esk21_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_73 ).

cnf(c_0_441,plain,
    ( member(esk23_2(X1,X2),X1)
    | member(esk20_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_71 ).

cnf(c_0_442,plain,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X2)
    | ~ member(esk22_2(esk17_0,esk16_0),X2)
    | ~ member(esk23_2(esk17_0,esk16_0),X2)
    | ~ member(X1,X2)
    | ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0)) ),
    inference(spm,[status(thm)],[c_0_307,c_0_432]) ).

cnf(c_0_443,plain,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_426]),c_0_320]) ).

cnf(c_0_444,plain,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | member(esk22_2(esk17_0,esk16_0),esk17_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_426]),c_0_320]) ).

cnf(c_0_445,plain,
    ( member(esk21_2(esk17_0,esk16_0),esk17_0)
    | member(esk19_2(esk17_0,esk16_0),esk17_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_426]),c_0_320]) ).

cnf(c_0_446,plain,
    ( member(esk23_2(esk17_0,esk16_0),esk17_0)
    | member(esk19_2(esk17_0,esk16_0),esk17_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_426]),c_0_320]) ).

cnf(c_0_447,plain,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk22_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_426]),c_0_320]) ).

cnf(c_0_448,plain,
    ( member(esk20_2(X1,esk16_0),X1)
    | apply(esk16_0,esk21_2(X1,esk16_0),esk22_2(X1,esk16_0))
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_438,c_0_422]) ).

cnf(c_0_449,plain,
    ( member(esk22_2(X1,esk16_0),X1)
    | member(esk20_2(X1,esk16_0),X1)
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_439,c_0_422]) ).

cnf(c_0_450,plain,
    ( member(esk20_2(X1,esk16_0),X1)
    | member(esk21_2(X1,esk16_0),X1)
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_440,c_0_422]) ).

cnf(c_0_451,plain,
    ( member(esk20_2(X1,esk16_0),X1)
    | member(esk23_2(X1,esk16_0),X1)
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_441,c_0_422]) ).

cnf(c_0_452,plain,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ member(esk23_2(esk17_0,esk16_0),X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1) ),
    inference(spm,[status(thm)],[c_0_442,c_0_443]) ).

cnf(c_0_453,negated_conjecture,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | member(esk22_2(esk17_0,esk16_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_444]) ).

cnf(c_0_454,negated_conjecture,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | member(esk21_2(esk17_0,esk16_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_445]) ).

cnf(c_0_455,negated_conjecture,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | member(esk23_2(esk17_0,esk16_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_446]) ).

cnf(c_0_456,plain,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X2)
    | ~ member(esk22_2(esk17_0,esk16_0),X2)
    | ~ member(esk23_2(esk17_0,esk16_0),X2)
    | ~ member(X1,X2)
    | ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0)) ),
    inference(spm,[status(thm)],[c_0_307,c_0_447]) ).

cnf(c_0_457,plain,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_448,c_0_426]),c_0_320]) ).

cnf(c_0_458,plain,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | member(esk22_2(esk17_0,esk16_0),esk17_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_426]),c_0_320]) ).

cnf(c_0_459,plain,
    ( member(esk21_2(esk17_0,esk16_0),esk17_0)
    | member(esk20_2(esk17_0,esk16_0),esk17_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_426]),c_0_320]) ).

cnf(c_0_460,plain,
    ( member(esk23_2(esk17_0,esk16_0),esk17_0)
    | member(esk20_2(esk17_0,esk16_0),esk17_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_426]),c_0_320]) ).

cnf(c_0_461,plain,
    ( member(esk22_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_61 ).

cnf(c_0_462,plain,
    ( member(esk19_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk21_2(X1,X2),esk23_2(X1,X2))
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_47 ).

cnf(c_0_463,negated_conjecture,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_453]),c_0_326])]),c_0_454]),c_0_455]) ).

cnf(c_0_464,negated_conjecture,
    member(esk18_2(esk17_0,esk16_0),esk15_0),
    inference(spm,[status(thm)],[c_0_295,c_0_426]) ).

cnf(c_0_465,plain,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ member(esk23_2(esk17_0,esk16_0),X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1) ),
    inference(spm,[status(thm)],[c_0_456,c_0_457]) ).

cnf(c_0_466,negated_conjecture,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | member(esk22_2(esk17_0,esk16_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_458]) ).

cnf(c_0_467,negated_conjecture,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | member(esk21_2(esk17_0,esk16_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_459]) ).

cnf(c_0_468,negated_conjecture,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | member(esk23_2(esk17_0,esk16_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_460]) ).

cnf(c_0_469,plain,
    ( member(esk23_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_60 ).

cnf(c_0_470,plain,
    ( member(esk21_2(X1,X2),X1)
    | apply(X2,esk19_2(X1,X2),esk20_2(X1,X2))
    | epred1_2(X2,X1)
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_62 ).

cnf(c_0_471,plain,
    ( member(esk22_2(X1,esk16_0),X1)
    | apply(esk16_0,esk19_2(X1,esk16_0),esk20_2(X1,esk16_0))
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_461,c_0_422]) ).

cnf(c_0_472,plain,
    ( member(esk19_2(esk17_0,esk16_0),esk17_0)
    | ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_463]),c_0_320]) ).

cnf(c_0_473,plain,
    ( apply(X1,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
    | ~ epred1_2(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_288,c_0_464]) ).

cnf(c_0_474,plain,
    ( member(esk20_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk21_2(X1,X2),esk23_2(X1,X2))
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_46 ).

cnf(c_0_475,negated_conjecture,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_466]),c_0_326])]),c_0_467]),c_0_468]) ).

cnf(c_0_476,plain,
    ( member(esk23_2(X1,esk16_0),X1)
    | apply(esk16_0,esk19_2(X1,esk16_0),esk20_2(X1,esk16_0))
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_469,c_0_422]) ).

cnf(c_0_477,plain,
    ( member(esk21_2(X1,esk16_0),X1)
    | apply(esk16_0,esk19_2(X1,esk16_0),esk20_2(X1,esk16_0))
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_470,c_0_422]) ).

cnf(c_0_478,plain,
    ( member(esk22_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_426]),c_0_320]) ).

cnf(c_0_479,plain,
    member(esk19_2(esk17_0,esk16_0),esk17_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_473]),c_0_276])]) ).

cnf(c_0_480,plain,
    ( member(esk20_2(esk17_0,esk16_0),esk17_0)
    | ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_475]),c_0_320]) ).

cnf(c_0_481,plain,
    ( member(esk23_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_426]),c_0_320]) ).

cnf(c_0_482,plain,
    ( member(esk21_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_426]),c_0_320]) ).

cnf(c_0_483,plain,
    ( member(esk22_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
    | ~ member(esk19_2(esk17_0,esk16_0),X1)
    | ~ member(esk20_2(esk17_0,esk16_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_269,c_0_478]) ).

cnf(c_0_484,negated_conjecture,
    member(esk19_2(esk17_0,esk16_0),esk15_0),
    inference(spm,[status(thm)],[c_0_295,c_0_479]) ).

cnf(c_0_485,plain,
    member(esk20_2(esk17_0,esk16_0),esk17_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_473]),c_0_276])]) ).

cnf(c_0_486,plain,
    ( member(esk23_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
    | ~ member(esk19_2(esk17_0,esk16_0),X1)
    | ~ member(esk20_2(esk17_0,esk16_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_269,c_0_481]) ).

cnf(c_0_487,plain,
    ( member(esk21_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
    | ~ member(esk19_2(esk17_0,esk16_0),X1)
    | ~ member(esk20_2(esk17_0,esk16_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_269,c_0_482]) ).

cnf(c_0_488,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_44 ).

cnf(c_0_489,plain,
    ( member(esk22_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
    | ~ member(esk20_2(esk17_0,esk16_0),esk15_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_276])]) ).

cnf(c_0_490,negated_conjecture,
    member(esk20_2(esk17_0,esk16_0),esk15_0),
    inference(spm,[status(thm)],[c_0_295,c_0_485]) ).

cnf(c_0_491,plain,
    ( member(esk23_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
    | ~ member(esk20_2(esk17_0,esk16_0),esk15_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_484]),c_0_276])]) ).

cnf(c_0_492,plain,
    ( member(esk21_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
    | ~ member(esk20_2(esk17_0,esk16_0),esk15_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_484]),c_0_276])]) ).

cnf(c_0_493,plain,
    ( apply(esk16_0,esk22_2(X1,esk16_0),esk23_2(X1,esk16_0))
    | apply(esk16_0,esk19_2(X1,esk16_0),esk20_2(X1,esk16_0))
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_488,c_0_422]) ).

cnf(c_0_494,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_45 ).

cnf(c_0_495,plain,
    ( member(esk22_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2))
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_50 ).

cnf(c_0_496,plain,
    ( member(esk22_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_489,c_0_490])]) ).

cnf(c_0_497,plain,
    ( member(esk23_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2))
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_49 ).

cnf(c_0_498,plain,
    ( member(esk23_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_491,c_0_490])]) ).

cnf(c_0_499,plain,
    ( member(esk21_2(X1,X2),X1)
    | epred1_2(X2,X1)
    | ~ apply(X2,esk20_2(X1,X2),esk19_2(X1,X2))
    | ~ apply(X2,esk18_2(X1,X2),esk18_2(X1,X2)) ),
    i_0_51 ).

cnf(c_0_500,plain,
    ( member(esk21_2(esk17_0,esk16_0),esk17_0)
    | apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_492,c_0_490])]) ).

cnf(c_0_501,plain,
    ( apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
    | apply(esk16_0,esk22_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_426]),c_0_320]) ).

cnf(c_0_502,plain,
    ( apply(esk16_0,esk19_2(X1,esk16_0),esk20_2(X1,esk16_0))
    | apply(esk16_0,esk21_2(X1,esk16_0),esk22_2(X1,esk16_0))
    | epred1_2(esk16_0,X1)
    | ~ member(esk18_2(X1,esk16_0),esk17_0) ),
    inference(spm,[status(thm)],[c_0_494,c_0_422]) ).

cnf(c_0_503,plain,
    ( member(esk22_2(esk17_0,esk16_0),esk17_0)
    | ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_320]) ).

cnf(c_0_504,plain,
    ( member(esk23_2(esk17_0,esk16_0),esk17_0)
    | ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_498]),c_0_320]) ).

cnf(c_0_505,plain,
    ( member(esk21_2(esk17_0,esk16_0),esk17_0)
    | ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_500]),c_0_320]) ).

cnf(c_0_506,plain,
    ( apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
    | apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X2)
    | ~ member(esk22_2(esk17_0,esk16_0),X2)
    | ~ member(esk23_2(esk17_0,esk16_0),X2)
    | ~ member(X1,X2)
    | ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0)) ),
    inference(spm,[status(thm)],[c_0_307,c_0_501]) ).

cnf(c_0_507,plain,
    ( apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
    | apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_426]),c_0_320]) ).

cnf(c_0_508,plain,
    member(esk22_2(esk17_0,esk16_0),esk17_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_473]),c_0_276])]) ).

cnf(c_0_509,plain,
    member(esk23_2(esk17_0,esk16_0),esk17_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_473]),c_0_276])]) ).

cnf(c_0_510,plain,
    member(esk21_2(esk17_0,esk16_0),esk17_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_473]),c_0_276])]) ).

cnf(c_0_511,plain,
    ( apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ member(esk23_2(esk17_0,esk16_0),X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1) ),
    inference(spm,[status(thm)],[c_0_506,c_0_507]) ).

cnf(c_0_512,negated_conjecture,
    member(esk22_2(esk17_0,esk16_0),esk15_0),
    inference(spm,[status(thm)],[c_0_295,c_0_508]) ).

cnf(c_0_513,negated_conjecture,
    member(esk23_2(esk17_0,esk16_0),esk15_0),
    inference(spm,[status(thm)],[c_0_295,c_0_509]) ).

cnf(c_0_514,negated_conjecture,
    member(esk21_2(esk17_0,esk16_0),esk15_0),
    inference(spm,[status(thm)],[c_0_295,c_0_510]) ).

cnf(c_0_515,plain,
    ( apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_43 ).

cnf(c_0_516,negated_conjecture,
    ( apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
    | apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_511,c_0_512]),c_0_326]),c_0_513]),c_0_514])]) ).

cnf(c_0_517,plain,
    ( apply(esk16_0,esk19_2(esk17_0,esk16_0),esk20_2(esk17_0,esk16_0))
    | ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_320]) ).

cnf(c_0_518,plain,
    ( apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
    | ~ member(esk19_2(esk17_0,esk16_0),X1)
    | ~ member(esk20_2(esk17_0,esk16_0),X1)
    | ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_269,c_0_517]) ).

cnf(c_0_519,plain,
    ( apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0))
    | ~ member(esk19_2(esk17_0,esk16_0),X1)
    | ~ member(esk20_2(esk17_0,esk16_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_473]),c_0_276])]) ).

cnf(c_0_520,plain,
    ( apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_41 ).

cnf(c_0_521,negated_conjecture,
    apply(esk16_0,esk20_2(esk17_0,esk16_0),esk19_2(esk17_0,esk16_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_484]),c_0_490]),c_0_276])]) ).

cnf(c_0_522,plain,
    ( apply(esk16_0,esk22_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_521]),c_0_320]) ).

cnf(c_0_523,plain,
    ( apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_42 ).

cnf(c_0_524,plain,
    ( apply(esk16_0,esk23_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ member(esk23_2(esk17_0,esk16_0),X1)
    | ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_269,c_0_522]) ).

cnf(c_0_525,plain,
    ( apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
    | ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_521]),c_0_320]) ).

cnf(c_0_526,plain,
    ( apply(esk16_0,esk23_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ member(esk23_2(esk17_0,esk16_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_473]),c_0_276])]) ).

cnf(c_0_527,plain,
    ( apply(esk16_0,esk22_2(esk17_0,esk16_0),esk21_2(esk17_0,esk16_0))
    | ~ member(esk21_2(esk17_0,esk16_0),X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0))
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_269,c_0_525]) ).

cnf(c_0_528,negated_conjecture,
    apply(esk16_0,esk23_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_512]),c_0_513]),c_0_276])]) ).

cnf(c_0_529,plain,
    ( apply(esk16_0,esk22_2(esk17_0,esk16_0),esk21_2(esk17_0,esk16_0))
    | ~ member(esk21_2(esk17_0,esk16_0),X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_473]),c_0_276])]) ).

cnf(c_0_530,plain,
    ( apply(esk16_0,esk22_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ member(esk23_2(esk17_0,esk16_0),X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_269,c_0_528]) ).

cnf(c_0_531,negated_conjecture,
    apply(esk16_0,esk22_2(esk17_0,esk16_0),esk21_2(esk17_0,esk16_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_514]),c_0_512]),c_0_276])]) ).

cnf(c_0_532,negated_conjecture,
    apply(esk16_0,esk22_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_513]),c_0_512]),c_0_276])]) ).

cnf(c_0_533,plain,
    ( apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0))
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1)
    | ~ epred1_2(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_269,c_0_531]) ).

cnf(c_0_534,plain,
    ( apply(esk16_0,X1,esk23_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X2)
    | ~ member(esk22_2(esk17_0,esk16_0),X2)
    | ~ member(esk23_2(esk17_0,esk16_0),X2)
    | ~ member(X1,X2)
    | ~ apply(esk16_0,X1,esk22_2(esk17_0,esk16_0)) ),
    inference(spm,[status(thm)],[c_0_307,c_0_532]) ).

cnf(c_0_535,negated_conjecture,
    apply(esk16_0,esk21_2(esk17_0,esk16_0),esk22_2(esk17_0,esk16_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_512]),c_0_514]),c_0_276])]) ).

cnf(c_0_536,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0))
    | ~ pre_order(esk16_0,X1)
    | ~ member(esk22_2(esk17_0,esk16_0),X1)
    | ~ member(esk23_2(esk17_0,esk16_0),X1)
    | ~ member(esk21_2(esk17_0,esk16_0),X1) ),
    inference(spm,[status(thm)],[c_0_534,c_0_535]) ).

cnf(c_0_537,plain,
    ( epred1_2(X1,X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_40 ).

cnf(c_0_538,negated_conjecture,
    apply(esk16_0,esk21_2(esk17_0,esk16_0),esk23_2(esk17_0,esk16_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_512]),c_0_326]),c_0_513]),c_0_514])]) ).

cnf(c_0_539,plain,
    ~ apply(esk16_0,esk18_2(esk17_0,esk16_0),esk18_2(esk17_0,esk16_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_538]),c_0_521])]),c_0_320]) ).

cnf(c_0_540,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_539,c_0_473]),c_0_276])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.22  % Problem    : SET765+4 : TPTP v9.2.1. Released v2.2.0.
% 0.03/0.22  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.13/0.45  % Computer : n006.cluster.edu
% 0.13/0.45  % Model    : x86_64 x86_64
% 0.13/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.45  % Memory   : 8042.1875MB
% 0.13/0.45  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.45  % CPULimit   : 300
% 0.13/0.45  % WCLimit    : 300
% 0.13/0.45  % DateTime   : Tue May  5 02:34:16 EDT 2026
% 0.13/0.45  % CPUTime    : 
% 0.13/0.46  % start to proof: theBenchmark
% 187.88/141.07  % Version  : CSE_E---1.7
% 187.88/141.07  % Problem  : theBenchmark.p
% 187.88/141.07  % SZS status Theorem for theBenchmark.p
% 187.88/141.07  % SZS output start CNFRefutation
% See solution above
% 191.26/144.43  % Total time : 140.357s
%------------------------------------------------------------------------------