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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV112+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:53:44 PM UTC 2026

% Result   : Theorem 159.14s 20.80s
% Output   : CNFRefutation 159.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  177 (  38 unt;   0 def)
%            Number of atoms       :  914 ( 132 equ)
%            Maximal formula atoms :  125 (   5 avg)
%            Number of connectives : 1040 ( 303   ~; 487   |; 202   &)
%                                         (   2 <=>;  46  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   4 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  22 con; 0-3 aty)
%            Number of variables   :  104 (   0 sgn  84   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(successor_2,axiom,
    succ(succ(n0)) = n2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).

fof(successor_1,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).

fof(successor_3,axiom,
    succ(succ(succ(n0))) = n3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).

fof(quaternion_ds1_symm_0005,conjecture,
    ( ( ! [X5] :
          ( ( leq(X5,minus(pv57,n1))
            & leq(n0,X5) )
         => ! [X11] :
              ( ( leq(X11,minus(n6,n1))
                & leq(n0,X11) )
             => a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
      & ! [X28,X29] :
          ( ( leq(X29,minus(n6,n1))
            & leq(X28,pv57)
            & leq(n0,X29)
            & leq(n0,X28) )
         => a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
      & ! [X21,X22] :
          ( ( leq(X22,minus(n6,n1))
            & leq(X21,minus(n6,n1))
            & leq(n0,X22)
            & leq(n0,X21) )
         => a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
      & ! [X4,X20] :
          ( ( leq(X20,minus(n3,n1))
            & leq(X4,minus(n3,n1))
            & leq(n0,X20)
            & leq(n0,X4) )
         => a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
      & ! [X14,X18] :
          ( ( leq(X18,minus(n6,n1))
            & leq(X14,minus(n6,n1))
            & leq(n0,X18)
            & leq(n0,X14) )
         => a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
      & leq(pv57,minus(n6,n1))
      & leq(pv5,minus(n999,n1))
      & leq(n0,pv57)
      & leq(n0,pv5) )
   => ( ! [X32] :
          ( ( leq(X32,minus(plus(n1,pv57),n1))
            & leq(n0,X32) )
         => ! [X33] :
              ( ( leq(X33,minus(n6,n1))
                & leq(n0,X33) )
             => a_select3(id_ds1_filter,X32,X33) = a_select3(id_ds1_filter,X33,X32) ) )
      & ! [X30,X31] :
          ( ( leq(X31,minus(n6,n1))
            & leq(X30,minus(n6,n1))
            & leq(n0,X31)
            & leq(n0,X30) )
         => a_select3(pminus_ds1_filter,X30,X31) = a_select3(pminus_ds1_filter,X31,X30) )
      & ! [X19,X15] :
          ( ( leq(X15,minus(n3,n1))
            & leq(X19,minus(n3,n1))
            & leq(n0,X15)
            & leq(n0,X19) )
         => a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) )
      & ! [X16,X6] :
          ( ( leq(X6,minus(n6,n1))
            & leq(X16,minus(n6,n1))
            & leq(n0,X6)
            & leq(n0,X16) )
         => a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
      & leq(pv5,minus(n999,n1))
      & leq(n0,pv5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0005) ).

fof(successor_4,axiom,
    succ(succ(succ(succ(n0)))) = n4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).

fof(pred_succ,axiom,
    ! [X1] : pred(succ(X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_succ) ).

fof(pred_minus_1,axiom,
    ! [X1] : minus(X1,n1) = pred(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).

fof(successor_5,axiom,
    succ(succ(succ(succ(succ(n0))))) = n5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).

fof(successor_6,axiom,
    succ(succ(succ(succ(succ(succ(n0)))))) = n6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_6) ).

fof(succ_plus_1_l,axiom,
    ! [X1] : plus(n1,X1) = succ(X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_plus_1_l) ).

cnf(c_0_10,plain,
    succ(succ(n0)) = n2,
    inference(split_conjunct,[status(thm)],[successor_2]) ).

cnf(c_0_11,plain,
    succ(n0) = n1,
    inference(split_conjunct,[status(thm)],[successor_1]) ).

cnf(c_0_12,plain,
    succ(succ(succ(n0))) = n3,
    inference(split_conjunct,[status(thm)],[successor_3]) ).

cnf(c_0_13,plain,
    succ(n1) = n2,
    inference(rw,[status(thm)],[c_0_10,c_0_11]) ).

fof(c_0_14,plain,
    ( epred1_0
  <=> ( ! [X5] :
          ( ( leq(X5,minus(pv57,n1))
            & leq(n0,X5) )
         => ! [X11] :
              ( ( leq(X11,minus(n6,n1))
                & leq(n0,X11) )
             => a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
      & ! [X28,X29] :
          ( ( leq(X29,minus(n6,n1))
            & leq(X28,pv57)
            & leq(n0,X29)
            & leq(n0,X28) )
         => a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
      & ! [X21,X22] :
          ( ( leq(X22,minus(n6,n1))
            & leq(X21,minus(n6,n1))
            & leq(n0,X22)
            & leq(n0,X21) )
         => a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
      & ! [X4,X20] :
          ( ( leq(X20,minus(n3,n1))
            & leq(X4,minus(n3,n1))
            & leq(n0,X20)
            & leq(n0,X4) )
         => a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
      & ! [X14,X18] :
          ( ( leq(X18,minus(n6,n1))
            & leq(X14,minus(n6,n1))
            & leq(n0,X18)
            & leq(n0,X14) )
         => a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
      & leq(pv57,minus(n6,n1))
      & leq(pv5,minus(n999,n1))
      & leq(n0,pv57)
      & leq(n0,pv5) ) ),
    introduced(definition) ).

fof(c_0_15,negated_conjecture,
    ~ ( ( ! [X5] :
            ( ( leq(X5,minus(pv57,n1))
              & leq(n0,X5) )
           => ! [X11] :
                ( ( leq(X11,minus(n6,n1))
                  & leq(n0,X11) )
               => a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
        & ! [X28,X29] :
            ( ( leq(X29,minus(n6,n1))
              & leq(X28,pv57)
              & leq(n0,X29)
              & leq(n0,X28) )
           => a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
        & ! [X21,X22] :
            ( ( leq(X22,minus(n6,n1))
              & leq(X21,minus(n6,n1))
              & leq(n0,X22)
              & leq(n0,X21) )
           => a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
        & ! [X4,X20] :
            ( ( leq(X20,minus(n3,n1))
              & leq(X4,minus(n3,n1))
              & leq(n0,X20)
              & leq(n0,X4) )
           => a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
        & ! [X14,X18] :
            ( ( leq(X18,minus(n6,n1))
              & leq(X14,minus(n6,n1))
              & leq(n0,X18)
              & leq(n0,X14) )
           => a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
        & leq(pv57,minus(n6,n1))
        & leq(pv5,minus(n999,n1))
        & leq(n0,pv57)
        & leq(n0,pv5) )
     => ( ! [X32] :
            ( ( leq(X32,minus(plus(n1,pv57),n1))
              & leq(n0,X32) )
           => ! [X33] :
                ( ( leq(X33,minus(n6,n1))
                  & leq(n0,X33) )
               => a_select3(id_ds1_filter,X32,X33) = a_select3(id_ds1_filter,X33,X32) ) )
        & ! [X30,X31] :
            ( ( leq(X31,minus(n6,n1))
              & leq(X30,minus(n6,n1))
              & leq(n0,X31)
              & leq(n0,X30) )
           => a_select3(pminus_ds1_filter,X30,X31) = a_select3(pminus_ds1_filter,X31,X30) )
        & ! [X19,X15] :
            ( ( leq(X15,minus(n3,n1))
              & leq(X19,minus(n3,n1))
              & leq(n0,X15)
              & leq(n0,X19) )
           => a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) )
        & ! [X16,X6] :
            ( ( leq(X6,minus(n6,n1))
              & leq(X16,minus(n6,n1))
              & leq(n0,X6)
              & leq(n0,X16) )
           => a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
        & leq(pv5,minus(n999,n1))
        & leq(n0,pv5) ) ),
    inference(assume_negation,[status(cth)],[quaternion_ds1_symm_0005]) ).

fof(c_0_16,plain,
    ( epred2_0
  <=> ( ! [X19,X15] :
          ( ( leq(X15,minus(n3,n1))
            & leq(X19,minus(n3,n1))
            & leq(n0,X15)
            & leq(n0,X19) )
         => a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) )
      & ! [X16,X6] :
          ( ( leq(X6,minus(n6,n1))
            & leq(X16,minus(n6,n1))
            & leq(n0,X6)
            & leq(n0,X16) )
         => a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
      & leq(pv5,minus(n999,n1))
      & leq(n0,pv5) ) ),
    introduced(definition) ).

cnf(c_0_17,plain,
    succ(succ(succ(succ(n0)))) = n4,
    inference(split_conjunct,[status(thm)],[successor_4]) ).

cnf(c_0_18,plain,
    succ(n2) = n3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11]),c_0_13]) ).

fof(c_0_19,plain,
    ( epred1_0
   => ( ! [X5] :
          ( ( leq(X5,minus(pv57,n1))
            & leq(n0,X5) )
         => ! [X11] :
              ( ( leq(X11,minus(n6,n1))
                & leq(n0,X11) )
             => a_select3(id_ds1_filter,X5,X11) = a_select3(id_ds1_filter,X11,X5) ) )
      & ! [X28,X29] :
          ( ( leq(X29,minus(n6,n1))
            & leq(X28,pv57)
            & leq(n0,X29)
            & leq(n0,X28) )
         => a_select3(id_ds1_filter,X28,X29) = a_select3(id_ds1_filter,X29,X28) )
      & ! [X21,X22] :
          ( ( leq(X22,minus(n6,n1))
            & leq(X21,minus(n6,n1))
            & leq(n0,X22)
            & leq(n0,X21) )
         => a_select3(pminus_ds1_filter,X21,X22) = a_select3(pminus_ds1_filter,X22,X21) )
      & ! [X4,X20] :
          ( ( leq(X20,minus(n3,n1))
            & leq(X4,minus(n3,n1))
            & leq(n0,X20)
            & leq(n0,X4) )
         => a_select3(r_ds1_filter,X4,X20) = a_select3(r_ds1_filter,X20,X4) )
      & ! [X14,X18] :
          ( ( leq(X18,minus(n6,n1))
            & leq(X14,minus(n6,n1))
            & leq(n0,X18)
            & leq(n0,X14) )
         => a_select3(q_ds1_filter,X14,X18) = a_select3(q_ds1_filter,X18,X14) )
      & leq(pv57,minus(n6,n1))
      & leq(pv5,minus(n999,n1))
      & leq(n0,pv57)
      & leq(n0,pv5) ) ),
    inference(split_equiv,[status(thm)],[c_0_14]) ).

fof(c_0_20,negated_conjecture,
    ~ ( epred1_0
     => ( ! [X32] :
            ( ( leq(X32,minus(plus(n1,pv57),n1))
              & leq(n0,X32) )
           => ! [X33] :
                ( ( leq(X33,minus(n6,n1))
                  & leq(n0,X33) )
               => a_select3(id_ds1_filter,X32,X33) = a_select3(id_ds1_filter,X33,X32) ) )
        & ! [X30,X31] :
            ( ( leq(X31,minus(n6,n1))
              & leq(X30,minus(n6,n1))
              & leq(n0,X31)
              & leq(n0,X30) )
           => a_select3(pminus_ds1_filter,X30,X31) = a_select3(pminus_ds1_filter,X31,X30) )
        & epred2_0 ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_15,c_0_14]),c_0_16]) ).

fof(c_0_21,plain,
    ! [X83] : pred(succ(X83)) = X83,
    inference(variable_rename,[status(thm)],[pred_succ]) ).

fof(c_0_22,plain,
    ! [X55] : minus(X55,n1) = pred(X55),
    inference(variable_rename,[status(thm)],[pred_minus_1]) ).

cnf(c_0_23,plain,
    succ(succ(succ(succ(succ(n0))))) = n5,
    inference(split_conjunct,[status(thm)],[successor_5]) ).

cnf(c_0_24,plain,
    succ(n3) = n4,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_11]),c_0_13]),c_0_18]) ).

fof(c_0_25,plain,
    ( ( ! [X19,X15] :
          ( ( leq(X15,minus(n3,n1))
            & leq(X19,minus(n3,n1))
            & leq(n0,X15)
            & leq(n0,X19) )
         => a_select3(r_ds1_filter,X19,X15) = a_select3(r_ds1_filter,X15,X19) )
      & ! [X16,X6] :
          ( ( leq(X6,minus(n6,n1))
            & leq(X16,minus(n6,n1))
            & leq(n0,X6)
            & leq(n0,X16) )
         => a_select3(q_ds1_filter,X16,X6) = a_select3(q_ds1_filter,X6,X16) )
      & leq(pv5,minus(n999,n1))
      & leq(n0,pv5) )
   => epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_16]) ).

fof(c_0_26,plain,
    ! [X85,X86,X87,X88,X89,X90,X91,X92,X93,X94] :
      ( ( ~ epred1_0
        | a_select3(id_ds1_filter,X93,X94) = a_select3(id_ds1_filter,X94,X93)
        | ~ leq(X94,minus(n6,n1))
        | ~ leq(n0,X94)
        | ~ leq(X93,minus(pv57,n1))
        | ~ leq(n0,X93) )
      & ( ~ epred1_0
        | a_select3(id_ds1_filter,X91,X92) = a_select3(id_ds1_filter,X92,X91)
        | ~ leq(X92,minus(n6,n1))
        | ~ leq(X91,pv57)
        | ~ leq(n0,X92)
        | ~ leq(n0,X91) )
      & ( ~ epred1_0
        | a_select3(pminus_ds1_filter,X89,X90) = a_select3(pminus_ds1_filter,X90,X89)
        | ~ leq(X90,minus(n6,n1))
        | ~ leq(X89,minus(n6,n1))
        | ~ leq(n0,X90)
        | ~ leq(n0,X89) )
      & ( ~ epred1_0
        | a_select3(r_ds1_filter,X87,X88) = a_select3(r_ds1_filter,X88,X87)
        | ~ leq(X88,minus(n3,n1))
        | ~ leq(X87,minus(n3,n1))
        | ~ leq(n0,X88)
        | ~ leq(n0,X87) )
      & ( ~ epred1_0
        | a_select3(q_ds1_filter,X85,X86) = a_select3(q_ds1_filter,X86,X85)
        | ~ leq(X86,minus(n6,n1))
        | ~ leq(X85,minus(n6,n1))
        | ~ leq(n0,X86)
        | ~ leq(n0,X85) )
      & ( ~ epred1_0
        | leq(pv57,minus(n6,n1)) )
      & ( ~ epred1_0
        | leq(pv5,minus(n999,n1)) )
      & ( ~ epred1_0
        | leq(n0,pv57) )
      & ( ~ epred1_0
        | leq(n0,pv5) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])]) ).

fof(c_0_27,negated_conjecture,
    ( ( ~ epred2_0
      | a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
      | a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) )
    & ( ~ epred2_0
      | a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
      | leq(esk4_0,minus(n6,n1)) )
    & ( ~ epred2_0
      | a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
      | leq(n0,esk4_0) )
    & ( ~ epred2_0
      | a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
      | leq(esk3_0,minus(plus(n1,pv57),n1)) )
    & ( ~ epred2_0
      | a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
      | leq(n0,esk3_0) )
    & ( ~ epred2_0
      | leq(esk2_0,minus(n6,n1))
      | a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) )
    & ( ~ epred2_0
      | leq(esk2_0,minus(n6,n1))
      | leq(esk4_0,minus(n6,n1)) )
    & ( ~ epred2_0
      | leq(esk2_0,minus(n6,n1))
      | leq(n0,esk4_0) )
    & ( ~ epred2_0
      | leq(esk2_0,minus(n6,n1))
      | leq(esk3_0,minus(plus(n1,pv57),n1)) )
    & ( ~ epred2_0
      | leq(esk2_0,minus(n6,n1))
      | leq(n0,esk3_0) )
    & ( ~ epred2_0
      | leq(esk1_0,minus(n6,n1))
      | a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) )
    & ( ~ epred2_0
      | leq(esk1_0,minus(n6,n1))
      | leq(esk4_0,minus(n6,n1)) )
    & ( ~ epred2_0
      | leq(esk1_0,minus(n6,n1))
      | leq(n0,esk4_0) )
    & ( ~ epred2_0
      | leq(esk1_0,minus(n6,n1))
      | leq(esk3_0,minus(plus(n1,pv57),n1)) )
    & ( ~ epred2_0
      | leq(esk1_0,minus(n6,n1))
      | leq(n0,esk3_0) )
    & ( ~ epred2_0
      | leq(n0,esk2_0)
      | a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) )
    & ( ~ epred2_0
      | leq(n0,esk2_0)
      | leq(esk4_0,minus(n6,n1)) )
    & ( ~ epred2_0
      | leq(n0,esk2_0)
      | leq(n0,esk4_0) )
    & ( ~ epred2_0
      | leq(n0,esk2_0)
      | leq(esk3_0,minus(plus(n1,pv57),n1)) )
    & ( ~ epred2_0
      | leq(n0,esk2_0)
      | leq(n0,esk3_0) )
    & ( ~ epred2_0
      | leq(n0,esk1_0)
      | a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) )
    & ( ~ epred2_0
      | leq(n0,esk1_0)
      | leq(esk4_0,minus(n6,n1)) )
    & ( ~ epred2_0
      | leq(n0,esk1_0)
      | leq(n0,esk4_0) )
    & ( ~ epred2_0
      | leq(n0,esk1_0)
      | leq(esk3_0,minus(plus(n1,pv57),n1)) )
    & ( ~ epred2_0
      | leq(n0,esk1_0)
      | leq(n0,esk3_0) )
    & epred1_0 ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])]) ).

cnf(c_0_28,plain,
    pred(succ(X1)) = X1,
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,plain,
    minus(X1,n1) = pred(X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    succ(succ(succ(succ(succ(succ(n0)))))) = n6,
    inference(split_conjunct,[status(thm)],[successor_6]) ).

cnf(c_0_31,plain,
    succ(n4) = n5,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_11]),c_0_13]),c_0_18]),c_0_24]) ).

fof(c_0_32,plain,
    ! [X65] : plus(n1,X65) = succ(X65),
    inference(variable_rename,[status(thm)],[succ_plus_1_l]) ).

fof(c_0_33,plain,
    ( ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
      | a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
      | leq(esk8_0,minus(n3,n1)) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
      | leq(esk7_0,minus(n3,n1)) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
      | leq(n0,esk8_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
      | leq(n0,esk7_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(esk6_0,minus(n6,n1))
      | a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(esk6_0,minus(n6,n1))
      | leq(esk8_0,minus(n3,n1)) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(esk6_0,minus(n6,n1))
      | leq(esk7_0,minus(n3,n1)) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(esk6_0,minus(n6,n1))
      | leq(n0,esk8_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(esk6_0,minus(n6,n1))
      | leq(n0,esk7_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(esk5_0,minus(n6,n1))
      | a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(esk5_0,minus(n6,n1))
      | leq(esk8_0,minus(n3,n1)) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(esk5_0,minus(n6,n1))
      | leq(esk7_0,minus(n3,n1)) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(esk5_0,minus(n6,n1))
      | leq(n0,esk8_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(esk5_0,minus(n6,n1))
      | leq(n0,esk7_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(n0,esk6_0)
      | a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(n0,esk6_0)
      | leq(esk8_0,minus(n3,n1)) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(n0,esk6_0)
      | leq(esk7_0,minus(n3,n1)) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(n0,esk6_0)
      | leq(n0,esk8_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(n0,esk6_0)
      | leq(n0,esk7_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(n0,esk5_0)
      | a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(n0,esk5_0)
      | leq(esk8_0,minus(n3,n1)) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(n0,esk5_0)
      | leq(esk7_0,minus(n3,n1)) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(n0,esk5_0)
      | leq(n0,esk8_0) )
    & ( epred2_0
      | ~ leq(pv5,minus(n999,n1))
      | ~ leq(n0,pv5)
      | leq(n0,esk5_0)
      | leq(n0,esk7_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])]) ).

cnf(c_0_34,plain,
    ( ~ epred1_0
    | leq(n0,pv5) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_35,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_36,plain,
    ( ~ epred1_0
    | leq(pv5,minus(n999,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,plain,
    minus(succ(X1),n1) = X1,
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_38,plain,
    succ(n5) = n6,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_11]),c_0_13]),c_0_18]),c_0_24]),c_0_31]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ epred2_0
    | leq(esk1_0,minus(n6,n1))
    | leq(esk3_0,minus(plus(n1,pv57),n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_40,plain,
    plus(n1,X1) = succ(X1),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ epred2_0
    | leq(esk2_0,minus(n6,n1))
    | leq(esk3_0,minus(plus(n1,pv57),n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_42,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(esk5_0,minus(n6,n1))
    | leq(n0,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_43,plain,
    leq(n0,pv5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).

cnf(c_0_44,plain,
    leq(pv5,minus(n999,n1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_35])]) ).

cnf(c_0_45,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(esk6_0,minus(n6,n1))
    | leq(n0,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_46,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(esk5_0,minus(n6,n1))
    | leq(n0,esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_47,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(esk6_0,minus(n6,n1))
    | leq(n0,esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ epred2_0
    | a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
    | leq(esk1_0,minus(n6,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_49,plain,
    minus(n6,n1) = n5,
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_50,plain,
    ( ~ epred1_0
    | ~ leq(X2,minus(n6,n1))
    | ~ leq(X1,pv57)
    | ~ leq(n0,X2)
    | ~ leq(n0,X1)
    | a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ epred2_0
    | leq(esk1_0,minus(n6,n1))
    | leq(esk4_0,minus(n6,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ epred2_0
    | leq(esk1_0,minus(n6,n1))
    | leq(n0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_53,negated_conjecture,
    ( ~ epred2_0
    | leq(esk1_0,minus(n6,n1))
    | leq(n0,esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ epred2_0
    | leq(esk3_0,pv57)
    | leq(esk1_0,minus(n6,n1)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_37]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ epred2_0
    | a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
    | leq(esk2_0,minus(n6,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_56,negated_conjecture,
    ( ~ epred2_0
    | leq(esk2_0,minus(n6,n1))
    | leq(esk4_0,minus(n6,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ epred2_0
    | leq(esk2_0,minus(n6,n1))
    | leq(n0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ epred2_0
    | leq(esk2_0,minus(n6,n1))
    | leq(n0,esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ epred2_0
    | leq(esk3_0,pv57)
    | leq(esk2_0,minus(n6,n1)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_40]),c_0_37]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk1_0)
    | leq(esk4_0,minus(n6,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk1_0)
    | leq(esk3_0,minus(plus(n1,pv57),n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk2_0)
    | leq(esk4_0,minus(n6,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk2_0)
    | leq(esk3_0,minus(plus(n1,pv57),n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_64,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(esk6_0,minus(n6,n1))
    | leq(esk8_0,minus(n3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_65,plain,
    minus(n3,n1) = n2,
    inference(spm,[status(thm)],[c_0_37,c_0_18]) ).

cnf(c_0_66,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(esk6_0,minus(n6,n1))
    | leq(esk7_0,minus(n3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_67,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
    | epred2_0
    | leq(n0,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_68,plain,
    ( ~ epred1_0
    | ~ leq(X2,minus(n6,n1))
    | ~ leq(X1,minus(n6,n1))
    | ~ leq(n0,X2)
    | ~ leq(n0,X1)
    | a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_69,plain,
    ( leq(n0,esk8_0)
    | leq(esk5_0,minus(n6,n1))
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).

cnf(c_0_70,plain,
    ( leq(n0,esk8_0)
    | leq(esk6_0,minus(n6,n1))
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_43]),c_0_44])]) ).

cnf(c_0_71,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(n0,esk5_0)
    | leq(n0,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_72,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(n0,esk6_0)
    | leq(n0,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_73,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
    | epred2_0
    | leq(n0,esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_74,plain,
    ( leq(n0,esk7_0)
    | leq(esk5_0,minus(n6,n1))
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_43]),c_0_44])]) ).

cnf(c_0_75,plain,
    ( leq(n0,esk7_0)
    | leq(esk6_0,minus(n6,n1))
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_43]),c_0_44])]) ).

cnf(c_0_76,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(n0,esk5_0)
    | leq(n0,esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_77,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(n0,esk6_0)
    | leq(n0,esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_78,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(esk5_0,minus(n6,n1))
    | leq(esk8_0,minus(n3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_79,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(esk5_0,minus(n6,n1))
    | leq(esk7_0,minus(n3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_80,plain,
    ( ~ epred1_0
    | ~ leq(X2,minus(n6,n1))
    | ~ leq(X1,minus(n6,n1))
    | ~ leq(n0,X2)
    | ~ leq(n0,X1)
    | a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ epred2_0
    | a_select3(id_ds1_filter,esk4_0,esk3_0) != a_select3(id_ds1_filter,esk3_0,esk4_0)
    | leq(esk1_0,n5) ),
    inference(rw,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_82,plain,
    ( ~ leq(X2,n5)
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,pv57)
    | a_select3(id_ds1_filter,X1,X2) = a_select3(id_ds1_filter,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_35]),c_0_49])]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ epred2_0
    | leq(esk4_0,n5)
    | leq(esk1_0,n5) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_49]),c_0_49]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ epred2_0
    | leq(esk1_0,n5)
    | leq(n0,esk3_0) ),
    inference(rw,[status(thm)],[c_0_52,c_0_49]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ epred2_0
    | leq(esk1_0,n5)
    | leq(n0,esk4_0) ),
    inference(rw,[status(thm)],[c_0_53,c_0_49]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ epred2_0
    | leq(esk1_0,n5)
    | leq(esk3_0,pv57) ),
    inference(rw,[status(thm)],[c_0_54,c_0_49]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ epred2_0
    | a_select3(id_ds1_filter,esk4_0,esk3_0) != a_select3(id_ds1_filter,esk3_0,esk4_0)
    | leq(esk2_0,n5) ),
    inference(rw,[status(thm)],[c_0_55,c_0_49]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ epred2_0
    | leq(esk4_0,n5)
    | leq(esk2_0,n5) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_49]),c_0_49]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ epred2_0
    | leq(esk2_0,n5)
    | leq(n0,esk3_0) ),
    inference(rw,[status(thm)],[c_0_57,c_0_49]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ epred2_0
    | leq(esk2_0,n5)
    | leq(n0,esk4_0) ),
    inference(rw,[status(thm)],[c_0_58,c_0_49]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ epred2_0
    | leq(esk2_0,n5)
    | leq(esk3_0,pv57) ),
    inference(rw,[status(thm)],[c_0_59,c_0_49]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ epred2_0
    | a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
    | leq(n0,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_93,negated_conjecture,
    ( ~ epred2_0
    | leq(esk4_0,n5)
    | leq(n0,esk1_0) ),
    inference(rw,[status(thm)],[c_0_60,c_0_49]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk1_0)
    | leq(n0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_95,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk1_0)
    | leq(n0,esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk1_0)
    | leq(esk3_0,pv57) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_40]),c_0_37]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ epred2_0
    | a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0)
    | leq(n0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ epred2_0
    | leq(esk4_0,n5)
    | leq(n0,esk2_0) ),
    inference(rw,[status(thm)],[c_0_62,c_0_49]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk2_0)
    | leq(n0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk2_0)
    | leq(n0,esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_101,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk2_0)
    | leq(esk3_0,pv57) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_40]),c_0_37]) ).

cnf(c_0_102,negated_conjecture,
    ( ~ epred2_0
    | a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
    | leq(esk4_0,minus(n6,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_103,negated_conjecture,
    ( ~ epred2_0
    | a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
    | leq(esk3_0,minus(plus(n1,pv57),n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_104,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
    | epred2_0
    | leq(esk6_0,minus(n6,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_105,plain,
    ( ~ epred1_0
    | ~ leq(X2,minus(n3,n1))
    | ~ leq(X1,minus(n3,n1))
    | ~ leq(n0,X2)
    | ~ leq(n0,X1)
    | a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_106,plain,
    ( leq(esk8_0,n2)
    | leq(esk6_0,minus(n6,n1))
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65]),c_0_43]),c_0_44])]) ).

cnf(c_0_107,plain,
    ( leq(esk7_0,n2)
    | leq(esk6_0,minus(n6,n1))
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_65]),c_0_43]),c_0_44])]) ).

cnf(c_0_108,plain,
    ( a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0)
    | leq(n0,esk8_0)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_43]),c_0_44])]) ).

cnf(c_0_109,plain,
    ( ~ leq(X1,n5)
    | ~ leq(X2,n5)
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | a_select3(q_ds1_filter,X1,X2) = a_select3(q_ds1_filter,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_35]),c_0_49]),c_0_49])]) ).

cnf(c_0_110,plain,
    ( leq(esk5_0,n5)
    | leq(n0,esk8_0)
    | epred2_0 ),
    inference(rw,[status(thm)],[c_0_69,c_0_49]) ).

cnf(c_0_111,plain,
    ( leq(esk6_0,n5)
    | leq(n0,esk8_0)
    | epred2_0 ),
    inference(rw,[status(thm)],[c_0_70,c_0_49]) ).

cnf(c_0_112,plain,
    ( leq(n0,esk5_0)
    | leq(n0,esk8_0)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_43]),c_0_44])]) ).

cnf(c_0_113,plain,
    ( leq(n0,esk6_0)
    | leq(n0,esk8_0)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_43]),c_0_44])]) ).

cnf(c_0_114,plain,
    ( a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0)
    | leq(n0,esk7_0)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_43]),c_0_44])]) ).

cnf(c_0_115,plain,
    ( leq(esk5_0,n5)
    | leq(n0,esk7_0)
    | epred2_0 ),
    inference(rw,[status(thm)],[c_0_74,c_0_49]) ).

cnf(c_0_116,plain,
    ( leq(esk6_0,n5)
    | leq(n0,esk7_0)
    | epred2_0 ),
    inference(rw,[status(thm)],[c_0_75,c_0_49]) ).

cnf(c_0_117,plain,
    ( leq(n0,esk5_0)
    | leq(n0,esk7_0)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_43]),c_0_44])]) ).

cnf(c_0_118,plain,
    ( leq(n0,esk6_0)
    | leq(n0,esk7_0)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_43]),c_0_44])]) ).

cnf(c_0_119,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
    | epred2_0
    | leq(esk5_0,minus(n6,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_120,plain,
    ( leq(esk8_0,n2)
    | leq(esk5_0,minus(n6,n1))
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_65]),c_0_43]),c_0_44])]) ).

cnf(c_0_121,plain,
    ( leq(esk7_0,n2)
    | leq(esk5_0,minus(n6,n1))
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_65]),c_0_43]),c_0_44])]) ).

cnf(c_0_122,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
    | epred2_0
    | leq(n0,esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_123,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(n0,esk6_0)
    | leq(esk7_0,minus(n3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_124,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(n0,esk6_0)
    | leq(esk8_0,minus(n3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_125,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
    | epred2_0
    | leq(n0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_126,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(n0,esk5_0)
    | leq(esk7_0,minus(n3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_127,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | epred2_0
    | leq(n0,esk5_0)
    | leq(esk8_0,minus(n3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ epred2_0
    | a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
    | a_select3(id_ds1_filter,esk3_0,esk4_0) != a_select3(id_ds1_filter,esk4_0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_129,plain,
    ( ~ leq(X1,n5)
    | ~ leq(X2,n5)
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | a_select3(pminus_ds1_filter,X1,X2) = a_select3(pminus_ds1_filter,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_35]),c_0_49]),c_0_49])]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ epred2_0
    | leq(esk1_0,n5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84]),c_0_85]),c_0_86]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ epred2_0
    | leq(esk2_0,n5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_82]),c_0_88]),c_0_89]),c_0_90]),c_0_91]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_82]),c_0_93]),c_0_94]),c_0_95]),c_0_96]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk2_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_82]),c_0_98]),c_0_99]),c_0_100]),c_0_101]) ).

cnf(c_0_134,negated_conjecture,
    ( ~ epred2_0
    | a_select3(pminus_ds1_filter,esk2_0,esk1_0) != a_select3(pminus_ds1_filter,esk1_0,esk2_0)
    | leq(esk4_0,n5) ),
    inference(rw,[status(thm)],[c_0_102,c_0_49]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ epred2_0
    | a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
    | leq(n0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ epred2_0
    | a_select3(pminus_ds1_filter,esk1_0,esk2_0) != a_select3(pminus_ds1_filter,esk2_0,esk1_0)
    | leq(n0,esk4_0) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ epred2_0
    | a_select3(pminus_ds1_filter,esk2_0,esk1_0) != a_select3(pminus_ds1_filter,esk1_0,esk2_0)
    | leq(esk3_0,pv57) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_40]),c_0_37]) ).

cnf(c_0_138,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
    | epred2_0
    | leq(esk7_0,minus(n3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_139,plain,
    ( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
    | leq(esk6_0,n5)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_49]),c_0_43]),c_0_44])]) ).

cnf(c_0_140,plain,
    ( ~ leq(X1,n2)
    | ~ leq(X2,n2)
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | a_select3(r_ds1_filter,X1,X2) = a_select3(r_ds1_filter,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_35]),c_0_65]),c_0_65])]) ).

cnf(c_0_141,plain,
    ( leq(esk6_0,n5)
    | leq(esk8_0,n2)
    | epred2_0 ),
    inference(rw,[status(thm)],[c_0_106,c_0_49]) ).

cnf(c_0_142,plain,
    ( leq(esk6_0,n5)
    | leq(esk7_0,n2)
    | epred2_0 ),
    inference(rw,[status(thm)],[c_0_107,c_0_49]) ).

cnf(c_0_143,plain,
    ( leq(n0,esk8_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111]),c_0_112]),c_0_113]) ).

cnf(c_0_144,plain,
    ( leq(n0,esk7_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_109]),c_0_115]),c_0_116]),c_0_117]),c_0_118]) ).

cnf(c_0_145,plain,
    ( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
    | leq(esk5_0,n5)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_49]),c_0_43]),c_0_44])]) ).

cnf(c_0_146,plain,
    ( leq(esk5_0,n5)
    | leq(esk8_0,n2)
    | epred2_0 ),
    inference(rw,[status(thm)],[c_0_120,c_0_49]) ).

cnf(c_0_147,plain,
    ( leq(esk5_0,n5)
    | leq(esk7_0,n2)
    | epred2_0 ),
    inference(rw,[status(thm)],[c_0_121,c_0_49]) ).

cnf(c_0_148,plain,
    ( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
    | leq(n0,esk6_0)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_43]),c_0_44])]) ).

cnf(c_0_149,plain,
    ( leq(n0,esk6_0)
    | leq(esk7_0,n2)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_65]),c_0_43]),c_0_44])]) ).

cnf(c_0_150,plain,
    ( leq(n0,esk6_0)
    | leq(esk8_0,n2)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_65]),c_0_43]),c_0_44])]) ).

cnf(c_0_151,plain,
    ( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
    | leq(n0,esk5_0)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_43]),c_0_44])]) ).

cnf(c_0_152,plain,
    ( leq(n0,esk5_0)
    | leq(esk7_0,n2)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_65]),c_0_43]),c_0_44])]) ).

cnf(c_0_153,plain,
    ( leq(n0,esk5_0)
    | leq(esk8_0,n2)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_65]),c_0_43]),c_0_44])]) ).

cnf(c_0_154,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
    | epred2_0
    | leq(esk8_0,minus(n3,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_155,plain,
    ( ~ leq(pv5,minus(n999,n1))
    | ~ leq(n0,pv5)
    | a_select3(q_ds1_filter,esk5_0,esk6_0) != a_select3(q_ds1_filter,esk6_0,esk5_0)
    | a_select3(r_ds1_filter,esk7_0,esk8_0) != a_select3(r_ds1_filter,esk8_0,esk7_0)
    | epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_156,plain,
    ( ~ epred2_0
    | a_select3(id_ds1_filter,esk4_0,esk3_0) != a_select3(id_ds1_filter,esk3_0,esk4_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]),c_0_131]),c_0_132]),c_0_133]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ epred2_0
    | leq(esk4_0,n5) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_129]),c_0_130]),c_0_131]),c_0_132]),c_0_133]) ).

cnf(c_0_158,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_129]),c_0_130]),c_0_131]),c_0_132]),c_0_133]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ epred2_0
    | leq(n0,esk4_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_129]),c_0_130]),c_0_131]),c_0_132]),c_0_133]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ epred2_0
    | leq(esk3_0,pv57) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_129]),c_0_130]),c_0_131]),c_0_132]),c_0_133]) ).

cnf(c_0_161,plain,
    ( a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0)
    | leq(esk7_0,n2)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_65]),c_0_43]),c_0_44])]) ).

cnf(c_0_162,plain,
    ( leq(esk6_0,n5)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]),c_0_142]),c_0_143]),c_0_144]) ).

cnf(c_0_163,plain,
    ( leq(esk5_0,n5)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_140]),c_0_146]),c_0_147]),c_0_143]),c_0_144]) ).

cnf(c_0_164,plain,
    ( leq(n0,esk6_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_140]),c_0_149]),c_0_150]),c_0_144]),c_0_143]) ).

cnf(c_0_165,plain,
    ( leq(n0,esk5_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_140]),c_0_152]),c_0_153]),c_0_144]),c_0_143]) ).

cnf(c_0_166,plain,
    ( a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0)
    | leq(esk8_0,n2)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_65]),c_0_43]),c_0_44])]) ).

cnf(c_0_167,plain,
    ( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
    | a_select3(q_ds1_filter,esk6_0,esk5_0) != a_select3(q_ds1_filter,esk5_0,esk6_0)
    | epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_43]),c_0_44])]) ).

cnf(c_0_168,plain,
    ~ epred2_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_82]),c_0_157]),c_0_158]),c_0_159]),c_0_160]) ).

cnf(c_0_169,plain,
    ( leq(esk7_0,n2)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_109]),c_0_162]),c_0_163]),c_0_164]),c_0_165]) ).

cnf(c_0_170,plain,
    ( leq(esk8_0,n2)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_109]),c_0_162]),c_0_163]),c_0_164]),c_0_165]) ).

cnf(c_0_171,plain,
    ( a_select3(r_ds1_filter,esk8_0,esk7_0) != a_select3(r_ds1_filter,esk7_0,esk8_0)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_109]),c_0_162]),c_0_163]),c_0_164]),c_0_165]) ).

cnf(c_0_172,plain,
    leq(n0,esk7_0),
    inference(sr,[status(thm)],[c_0_144,c_0_168]) ).

cnf(c_0_173,plain,
    leq(n0,esk8_0),
    inference(sr,[status(thm)],[c_0_143,c_0_168]) ).

cnf(c_0_174,plain,
    leq(esk7_0,n2),
    inference(sr,[status(thm)],[c_0_169,c_0_168]) ).

cnf(c_0_175,plain,
    leq(esk8_0,n2),
    inference(sr,[status(thm)],[c_0_170,c_0_168]) ).

cnf(c_0_176,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_140]),c_0_172]),c_0_173]),c_0_174]),c_0_175])]),c_0_168]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV112+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36  % Computer : n007.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Mon Sep 21 08:29:21 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43  Running first-order theorem proving
% 0.14/0.43  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 159.14/20.80  % Version: 3.5.1
% 159.14/20.80  % Preprocessing class: FSLSSMSMSSSNFFN.
% 159.14/20.80  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 159.14/20.80  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 159.14/20.80  % Starting new_bool_3 with 300s (1) cores
% 159.14/20.80  % Starting new_bool_1 with 300s (1) cores
% 159.14/20.80  % Starting sh5l with 300s (1) cores
% 159.14/20.80  % new_bool_1 with pid 656666 completed with status 0
% 159.14/20.80  % Result found by new_bool_1
% 159.14/20.80  % Preprocessing class: FSLSSMSMSSSNFFN.
% 159.14/20.80  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 159.14/20.80  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 159.14/20.80  % Starting new_bool_3 with 300s (1) cores
% 159.14/20.80  % Starting new_bool_1 with 300s (1) cores
% 159.14/20.80  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 159.14/20.80  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 159.14/20.80  % Search class: FGHSM-FFMM31-DFFFFFNN
% 159.14/20.80  % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 159.14/20.80  % Starting SubtermCWHack with 31s (1) cores
% 159.14/20.80  % SubtermCWHack with pid 656672 completed with status 0
% 159.14/20.80  % Result found by SubtermCWHack
% 159.14/20.80  % Preprocessing class: FSLSSMSMSSSNFFN.
% 159.14/20.80  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 159.14/20.80  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 159.14/20.80  % Starting new_bool_3 with 300s (1) cores
% 159.14/20.80  % Starting new_bool_1 with 300s (1) cores
% 159.14/20.80  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 159.14/20.80  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 159.14/20.80  % Search class: FGHSM-FFMM31-DFFFFFNN
% 159.14/20.80  % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 159.14/20.80  % Starting SubtermCWHack with 31s (1) cores
% 159.14/20.80  % Preprocessing time       : 0.004 s
% 159.14/20.80  
% 159.14/20.80  % Proof found!
% 159.14/20.80  % SZS status Theorem
% 159.14/20.80  % SZS output start CNFRefutation
% See solution above
% 159.14/20.81  % Parsed axioms                        : 102
% 159.14/20.81  % Removed by relevancy pruning/SinE    : 24
% 159.14/20.81  % Initial clauses                      : 140
% 159.14/20.81  % Removed in clause preprocessing      : 0
% 159.14/20.81  % Initial clauses in saturation        : 140
% 159.14/20.81  % Processed clauses                    : 76065
% 159.14/20.81  % ...of these trivial                  : 2591
% 159.14/20.81  % ...subsumed                          : 64460
% 159.14/20.81  % ...remaining for further processing  : 9013
% 159.14/20.81  % Other redundant clauses eliminated   : 1
% 159.14/20.81  % Clauses deleted for lack of memory   : 0
% 159.14/20.81  % Backward-subsumed                    : 950
% 159.14/20.81  % Backward-rewritten                   : 326
% 159.14/20.81  % Generated clauses                    : 1236398
% 159.14/20.81  % ...of the previous two non-redundant : 726693
% 159.14/20.81  % ...aggressively subsumed             : 0
% 159.14/20.81  % Contextual simplify-reflections      : 107
% 159.14/20.81  % Paramodulations                      : 1235963
% 159.14/20.81  % Factorizations                       : 218
% 159.14/20.81  % NegExts                              : 0
% 159.14/20.81  % Equation resolutions                 : 1
% 159.14/20.81  % Disequality decompositions           : 0
% 159.14/20.81  % Total rewrite steps                  : 986844
% 159.14/20.81  % ...of those cached                   : 984690
% 159.14/20.81  % Propositional unsat checks           : 0
% 159.14/20.81  %    Propositional check models        : 0
% 159.14/20.81  %    Propositional check unsatisfiable : 0
% 159.14/20.81  %    Propositional clauses             : 0
% 159.14/20.81  %    Propositional clauses after purity: 0
% 159.14/20.81  %    Propositional unsat core size     : 0
% 159.14/20.81  %    Propositional preprocessing time  : 0.000
% 159.14/20.81  %    Propositional encoding time       : 0.000
% 159.14/20.81  %    Propositional solver time         : 0.000
% 159.14/20.81  %    Success case prop preproc time    : 0.000
% 159.14/20.81  %    Success case prop encoding time   : 0.000
% 159.14/20.81  %    Success case prop solver time     : 0.000
% 159.14/20.81  % Current number of processed clauses  : 7521
% 159.14/20.81  %    Positive orientable unit clauses  : 1117
% 159.14/20.81  %    Positive unorientable unit clauses: 3
% 159.14/20.81  %    Negative unit clauses             : 786
% 159.14/20.81  %    Non-unit-clauses                  : 5615
% 159.14/20.81  % Current number of unprocessed clauses: 649234
% 159.14/20.81  % ...number of literals in the above   : 2355107
% 159.14/20.81  % Current number of archived formulas  : 0
% 159.14/20.81  % Current number of archived clauses   : 1492
% 159.14/20.81  % Clause-clause subsumption calls (NU) : 2775910
% 159.14/20.81  % Rec. Clause-clause subsumption calls : 2471691
% 159.14/20.81  % Non-unit clause-clause subsumptions  : 23960
% 159.14/20.81  % Unit Clause-clause subsumption calls : 238018
% 159.14/20.81  % Rewrite failures with RHS unbound    : 0
% 159.14/20.81  % BW rewrite match attempts            : 2609
% 159.14/20.81  % BW rewrite match successes           : 66
% 159.14/20.81  % Condensation attempts                : 0
% 159.14/20.81  % Condensation successes               : 0
% 159.14/20.81  % Termbank termtop insertions          : 14004472
% 159.14/20.81  % Search garbage collected termcells   : 1289
% 159.14/20.81  
% 159.14/20.81  % -------------------------------------------------
% 159.14/20.81  % User time                : 19.201 s
% 159.14/20.81  % System time              : 0.580 s
% 159.14/20.81  % Total time               : 19.781 s
% 159.14/20.81  % Maximum resident set size: 4028 pages
% 159.14/20.81  
% 159.14/20.81  % -------------------------------------------------
% 159.14/20.81  % User time                : 19.205 s
% 159.14/20.81  % System time              : 0.587 s
% 159.14/20.81  % Total time               : 19.791 s
% 159.14/20.81  % Maximum resident set size: 4608 pages
% 159.14/20.81  % E exiting
%------------------------------------------------------------------------------