TSTP Solution File: SWV024+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV024+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 22:30:48 EDT 2023

% Result   : Theorem 7.61s 1.67s
% Output   : CNFRefutation 7.61s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f499)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] : leq(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( gt(X1,X0)
     => leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).

fof(f29,axiom,
    ! [X0] : succ(X0) = plus(X0,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).

fof(f30,axiom,
    ! [X0] : succ(X0) = plus(n1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_l) ).

fof(f31,axiom,
    ! [X0] : plus(X0,n2) = succ(succ(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_r) ).

fof(f32,axiom,
    ! [X0] : succ(succ(X0)) = plus(n2,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_l) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).

fof(f40,axiom,
    ! [X0] : pred(succ(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).

fof(f53,conjecture,
    ( ( ( gt(loopcounter,n1)
       => ( init = pvar1402_init
          & init = pvar1401_init
          & init = pvar1400_init ) )
      & ! [X20] :
          ( ( leq(X20,minus(n3,n1))
            & leq(n0,X20) )
         => init = a_select2(s_try7_init,X20) )
      & ! [X19] :
          ( ( leq(X19,n2)
            & leq(n0,X19) )
         => init = a_select2(s_center7_init,X19) )
      & ! [X3] :
          ( ( leq(X3,n3)
            & leq(n0,X3) )
         => init = a_select2(s_values7_init,X3) )
      & ! [X13] :
          ( ( leq(X13,n2)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(X17,n3)
                & leq(n0,X17) )
             => init = a_select3(simplex7_init,X17,X13) ) )
      & leq(pv20,minus(n330,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv8,minus(n330,n1))
      & leq(pv7,minus(n410,n1))
      & leq(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n0,pv20)
      & leq(n0,pv19)
      & leq(n0,pv8)
      & leq(n0,pv7)
      & leq(n0,s_worst7)
      & leq(n0,s_sworst7)
      & leq(n0,s_best7)
      & init = s_worst7_init
      & init = s_sworst7_init
      & init = s_best7_init
      & init = init )
   => ( ( gt(loopcounter,n1)
       => ( init = pvar1402_init
          & init = pvar1401_init
          & init = pvar1400_init ) )
      & ! [X10] :
          ( ( leq(X10,minus(n3,n1))
            & leq(n0,X10) )
         => init = a_select2(s_try7_init,X10) )
      & ! [X4] :
          ( ( leq(X4,n2)
            & leq(n0,X4) )
         => init = a_select2(s_center7_init,X4) )
      & ! [X28] :
          ( ( leq(X28,n3)
            & leq(n0,X28) )
         => init = a_select2(s_values7_init,X28) )
      & ! [X21] :
          ( ( leq(X21,n2)
            & leq(n0,X21) )
         => ! [X27] :
              ( ( leq(X27,n3)
                & leq(n0,X27) )
             => init = a_select3(simplex7_init,X27,X21) ) )
      & leq(pv20,minus(n330,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv7,minus(n410,n1))
      & leq(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n0,pv20)
      & leq(n0,pv19)
      & leq(n0,pv7)
      & leq(n0,s_worst7)
      & leq(n0,s_sworst7)
      & leq(n0,s_best7)
      & init = a_select2(s_try7_init,n2)
      & init = a_select2(s_try7_init,n1)
      & init = a_select2(s_try7_init,n0)
      & init = s_worst7_init
      & init = s_sworst7_init
      & init = s_best7_init
      & init = init ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_init_0009) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X20] :
            ( ( leq(X20,minus(n3,n1))
              & leq(n0,X20) )
           => init = a_select2(s_try7_init,X20) )
        & ! [X19] :
            ( ( leq(X19,n2)
              & leq(n0,X19) )
           => init = a_select2(s_center7_init,X19) )
        & ! [X3] :
            ( ( leq(X3,n3)
              & leq(n0,X3) )
           => init = a_select2(s_values7_init,X3) )
        & ! [X13] :
            ( ( leq(X13,n2)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(X17,n3)
                  & leq(n0,X17) )
               => init = a_select3(simplex7_init,X17,X13) ) )
        & leq(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv8,minus(n330,n1))
        & leq(pv7,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv20)
        & leq(n0,pv19)
        & leq(n0,pv8)
        & leq(n0,pv7)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7)
        & init = s_worst7_init
        & init = s_sworst7_init
        & init = s_best7_init
        & init = init )
     => ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X10] :
            ( ( leq(X10,minus(n3,n1))
              & leq(n0,X10) )
           => init = a_select2(s_try7_init,X10) )
        & ! [X4] :
            ( ( leq(X4,n2)
              & leq(n0,X4) )
           => init = a_select2(s_center7_init,X4) )
        & ! [X28] :
            ( ( leq(X28,n3)
              & leq(n0,X28) )
           => init = a_select2(s_values7_init,X28) )
        & ! [X21] :
            ( ( leq(X21,n2)
              & leq(n0,X21) )
           => ! [X27] :
                ( ( leq(X27,n3)
                  & leq(n0,X27) )
               => init = a_select3(simplex7_init,X27,X21) ) )
        & leq(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv7,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv20)
        & leq(n0,pv19)
        & leq(n0,pv7)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7)
        & init = a_select2(s_try7_init,n2)
        & init = a_select2(s_try7_init,n1)
        & init = a_select2(s_try7_init,n0)
        & init = s_worst7_init
        & init = s_sworst7_init
        & init = s_best7_init
        & init = init ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f73,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).

fof(f74,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).

fof(f81,axiom,
    gt(n3,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_3_1) ).

fof(f99,axiom,
    n1 = succ(n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).

fof(f100,axiom,
    n2 = succ(succ(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).

fof(f101,axiom,
    n3 = succ(succ(succ(n0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).

fof(f122,plain,
    ~ ( ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X0] :
            ( ( leq(X0,minus(n3,n1))
              & leq(n0,X0) )
           => init = a_select2(s_try7_init,X0) )
        & ! [X1] :
            ( ( leq(X1,n2)
              & leq(n0,X1) )
           => init = a_select2(s_center7_init,X1) )
        & ! [X2] :
            ( ( leq(X2,n3)
              & leq(n0,X2) )
           => init = a_select2(s_values7_init,X2) )
        & ! [X3] :
            ( ( leq(X3,n2)
              & leq(n0,X3) )
           => ! [X4] :
                ( ( leq(X4,n3)
                  & leq(n0,X4) )
               => init = a_select3(simplex7_init,X4,X3) ) )
        & leq(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv8,minus(n330,n1))
        & leq(pv7,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv20)
        & leq(n0,pv19)
        & leq(n0,pv8)
        & leq(n0,pv7)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7)
        & init = s_worst7_init
        & init = s_sworst7_init
        & init = s_best7_init
        & init = init )
     => ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X5] :
            ( ( leq(X5,minus(n3,n1))
              & leq(n0,X5) )
           => init = a_select2(s_try7_init,X5) )
        & ! [X6] :
            ( ( leq(X6,n2)
              & leq(n0,X6) )
           => init = a_select2(s_center7_init,X6) )
        & ! [X7] :
            ( ( leq(X7,n3)
              & leq(n0,X7) )
           => init = a_select2(s_values7_init,X7) )
        & ! [X8] :
            ( ( leq(X8,n2)
              & leq(n0,X8) )
           => ! [X9] :
                ( ( leq(X9,n3)
                  & leq(n0,X9) )
               => init = a_select3(simplex7_init,X9,X8) ) )
        & leq(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv7,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv20)
        & leq(n0,pv19)
        & leq(n0,pv7)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7)
        & init = a_select2(s_try7_init,n2)
        & init = a_select2(s_try7_init,n1)
        & init = a_select2(s_try7_init,n0)
        & init = s_worst7_init
        & init = s_sworst7_init
        & init = s_best7_init
        & init = init ) ),
    inference(rectify,[],[f54]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f164,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X5] :
          ( init != a_select2(s_try7_init,X5)
          & leq(X5,minus(n3,n1))
          & leq(n0,X5) )
      | ? [X6] :
          ( init != a_select2(s_center7_init,X6)
          & leq(X6,n2)
          & leq(n0,X6) )
      | ? [X7] :
          ( init != a_select2(s_values7_init,X7)
          & leq(X7,n3)
          & leq(n0,X7) )
      | ? [X8] :
          ( ? [X9] :
              ( init != a_select3(simplex7_init,X9,X8)
              & leq(X9,n3)
              & leq(n0,X9) )
          & leq(X8,n2)
          & leq(n0,X8) )
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv7,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != a_select2(s_try7_init,n2)
      | init != a_select2(s_try7_init,n1)
      | init != a_select2(s_try7_init,n0)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_try7_init,X0)
        | ~ leq(X0,minus(n3,n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_center7_init,X1)
        | ~ leq(X1,n2)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_values7_init,X2)
        | ~ leq(X2,n3)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( ! [X4] :
            ( init = a_select3(simplex7_init,X4,X3)
            | ~ leq(X4,n3)
            | ~ leq(n0,X4) )
        | ~ leq(X3,n2)
        | ~ leq(n0,X3) )
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv8,minus(n330,n1))
    & leq(pv7,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv8)
    & leq(n0,pv7)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & init = s_worst7_init
    & init = s_sworst7_init
    & init = s_best7_init
    & init = init ),
    inference(ennf_transformation,[],[f122]) ).

fof(f165,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X5] :
          ( init != a_select2(s_try7_init,X5)
          & leq(X5,minus(n3,n1))
          & leq(n0,X5) )
      | ? [X6] :
          ( init != a_select2(s_center7_init,X6)
          & leq(X6,n2)
          & leq(n0,X6) )
      | ? [X7] :
          ( init != a_select2(s_values7_init,X7)
          & leq(X7,n3)
          & leq(n0,X7) )
      | ? [X8] :
          ( ? [X9] :
              ( init != a_select3(simplex7_init,X9,X8)
              & leq(X9,n3)
              & leq(n0,X9) )
          & leq(X8,n2)
          & leq(n0,X8) )
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv7,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != a_select2(s_try7_init,n2)
      | init != a_select2(s_try7_init,n1)
      | init != a_select2(s_try7_init,n0)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_try7_init,X0)
        | ~ leq(X0,minus(n3,n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_center7_init,X1)
        | ~ leq(X1,n2)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_values7_init,X2)
        | ~ leq(X2,n3)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( ! [X4] :
            ( init = a_select3(simplex7_init,X4,X3)
            | ~ leq(X4,n3)
            | ~ leq(n0,X4) )
        | ~ leq(X3,n2)
        | ~ leq(n0,X3) )
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv8,minus(n330,n1))
    & leq(pv7,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv8)
    & leq(n0,pv7)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & init = s_worst7_init
    & init = s_sworst7_init
    & init = s_best7_init
    & init = init ),
    inference(flattening,[],[f164]) ).

fof(f185,plain,
    ( ? [X8] :
        ( ? [X9] :
            ( init != a_select3(simplex7_init,X9,X8)
            & leq(X9,n3)
            & leq(n0,X9) )
        & leq(X8,n2)
        & leq(n0,X8) )
    | ~ sP4 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f186,plain,
    ( ? [X7] :
        ( init != a_select2(s_values7_init,X7)
        & leq(X7,n3)
        & leq(n0,X7) )
    | ~ sP5 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f187,plain,
    ( ? [X6] :
        ( init != a_select2(s_center7_init,X6)
        & leq(X6,n2)
        & leq(n0,X6) )
    | ~ sP6 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f188,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X5] :
          ( init != a_select2(s_try7_init,X5)
          & leq(X5,minus(n3,n1))
          & leq(n0,X5) )
      | sP6
      | sP5
      | sP4
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv7,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != a_select2(s_try7_init,n2)
      | init != a_select2(s_try7_init,n1)
      | init != a_select2(s_try7_init,n0)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_try7_init,X0)
        | ~ leq(X0,minus(n3,n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_center7_init,X1)
        | ~ leq(X1,n2)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_values7_init,X2)
        | ~ leq(X2,n3)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( ! [X4] :
            ( init = a_select3(simplex7_init,X4,X3)
            | ~ leq(X4,n3)
            | ~ leq(n0,X4) )
        | ~ leq(X3,n2)
        | ~ leq(n0,X3) )
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv8,minus(n330,n1))
    & leq(pv7,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv8)
    & leq(n0,pv7)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & init = s_worst7_init
    & init = s_sworst7_init
    & init = s_best7_init
    & init = init ),
    inference(definition_folding,[],[f165,f187,f186,f185]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ( leq(X0,pred(X1))
        | ~ gt(X1,X0) )
      & ( gt(X1,X0)
        | ~ leq(X0,pred(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f236,plain,
    ( ? [X6] :
        ( init != a_select2(s_center7_init,X6)
        & leq(X6,n2)
        & leq(n0,X6) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f187]) ).

fof(f237,plain,
    ( ? [X0] :
        ( init != a_select2(s_center7_init,X0)
        & leq(X0,n2)
        & leq(n0,X0) )
    | ~ sP6 ),
    inference(rectify,[],[f236]) ).

fof(f238,plain,
    ( ? [X0] :
        ( init != a_select2(s_center7_init,X0)
        & leq(X0,n2)
        & leq(n0,X0) )
   => ( init != a_select2(s_center7_init,sK34)
      & leq(sK34,n2)
      & leq(n0,sK34) ) ),
    introduced(choice_axiom,[]) ).

fof(f239,plain,
    ( ( init != a_select2(s_center7_init,sK34)
      & leq(sK34,n2)
      & leq(n0,sK34) )
    | ~ sP6 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f237,f238]) ).

fof(f240,plain,
    ( ? [X7] :
        ( init != a_select2(s_values7_init,X7)
        & leq(X7,n3)
        & leq(n0,X7) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f186]) ).

fof(f241,plain,
    ( ? [X0] :
        ( init != a_select2(s_values7_init,X0)
        & leq(X0,n3)
        & leq(n0,X0) )
    | ~ sP5 ),
    inference(rectify,[],[f240]) ).

fof(f242,plain,
    ( ? [X0] :
        ( init != a_select2(s_values7_init,X0)
        & leq(X0,n3)
        & leq(n0,X0) )
   => ( init != a_select2(s_values7_init,sK35)
      & leq(sK35,n3)
      & leq(n0,sK35) ) ),
    introduced(choice_axiom,[]) ).

fof(f243,plain,
    ( ( init != a_select2(s_values7_init,sK35)
      & leq(sK35,n3)
      & leq(n0,sK35) )
    | ~ sP5 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f241,f242]) ).

fof(f244,plain,
    ( ? [X8] :
        ( ? [X9] :
            ( init != a_select3(simplex7_init,X9,X8)
            & leq(X9,n3)
            & leq(n0,X9) )
        & leq(X8,n2)
        & leq(n0,X8) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f185]) ).

fof(f245,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( init != a_select3(simplex7_init,X1,X0)
            & leq(X1,n3)
            & leq(n0,X1) )
        & leq(X0,n2)
        & leq(n0,X0) )
    | ~ sP4 ),
    inference(rectify,[],[f244]) ).

fof(f246,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( init != a_select3(simplex7_init,X1,X0)
            & leq(X1,n3)
            & leq(n0,X1) )
        & leq(X0,n2)
        & leq(n0,X0) )
   => ( ? [X1] :
          ( init != a_select3(simplex7_init,X1,sK36)
          & leq(X1,n3)
          & leq(n0,X1) )
      & leq(sK36,n2)
      & leq(n0,sK36) ) ),
    introduced(choice_axiom,[]) ).

fof(f247,plain,
    ( ? [X1] :
        ( init != a_select3(simplex7_init,X1,sK36)
        & leq(X1,n3)
        & leq(n0,X1) )
   => ( init != a_select3(simplex7_init,sK37,sK36)
      & leq(sK37,n3)
      & leq(n0,sK37) ) ),
    introduced(choice_axiom,[]) ).

fof(f248,plain,
    ( ( init != a_select3(simplex7_init,sK37,sK36)
      & leq(sK37,n3)
      & leq(n0,sK37)
      & leq(sK36,n2)
      & leq(n0,sK36) )
    | ~ sP4 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f245,f247,f246]) ).

fof(f249,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X0] :
          ( init != a_select2(s_try7_init,X0)
          & leq(X0,minus(n3,n1))
          & leq(n0,X0) )
      | sP6
      | sP5
      | sP4
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv7,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != a_select2(s_try7_init,n2)
      | init != a_select2(s_try7_init,n1)
      | init != a_select2(s_try7_init,n0)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X1] :
        ( init = a_select2(s_try7_init,X1)
        | ~ leq(X1,minus(n3,n1))
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_center7_init,X2)
        | ~ leq(X2,n2)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( init = a_select2(s_values7_init,X3)
        | ~ leq(X3,n3)
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( ! [X5] :
            ( init = a_select3(simplex7_init,X5,X4)
            | ~ leq(X5,n3)
            | ~ leq(n0,X5) )
        | ~ leq(X4,n2)
        | ~ leq(n0,X4) )
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv8,minus(n330,n1))
    & leq(pv7,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv8)
    & leq(n0,pv7)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & init = s_worst7_init
    & init = s_sworst7_init
    & init = s_best7_init
    & init = init ),
    inference(rectify,[],[f188]) ).

fof(f250,plain,
    ( ? [X0] :
        ( init != a_select2(s_try7_init,X0)
        & leq(X0,minus(n3,n1))
        & leq(n0,X0) )
   => ( init != a_select2(s_try7_init,sK38)
      & leq(sK38,minus(n3,n1))
      & leq(n0,sK38) ) ),
    introduced(choice_axiom,[]) ).

fof(f251,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ( init != a_select2(s_try7_init,sK38)
        & leq(sK38,minus(n3,n1))
        & leq(n0,sK38) )
      | sP6
      | sP5
      | sP4
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv7,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | init != a_select2(s_try7_init,n2)
      | init != a_select2(s_try7_init,n1)
      | init != a_select2(s_try7_init,n0)
      | init != s_worst7_init
      | init != s_sworst7_init
      | init != s_best7_init
      | init != init )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X1] :
        ( init = a_select2(s_try7_init,X1)
        | ~ leq(X1,minus(n3,n1))
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_center7_init,X2)
        | ~ leq(X2,n2)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( init = a_select2(s_values7_init,X3)
        | ~ leq(X3,n3)
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( ! [X5] :
            ( init = a_select3(simplex7_init,X5,X4)
            | ~ leq(X5,n3)
            | ~ leq(n0,X5) )
        | ~ leq(X4,n2)
        | ~ leq(n0,X4) )
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv8,minus(n330,n1))
    & leq(pv7,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv8)
    & leq(n0,pv7)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & init = s_worst7_init
    & init = s_sworst7_init
    & init = s_best7_init
    & init = init ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f249,f250]) ).

fof(f255,plain,
    ! [X0] : leq(X0,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f257,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
      | ~ gt(X1,X0) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f332,plain,
    ! [X0] : succ(X0) = plus(X0,n1),
    inference(cnf_transformation,[],[f29]) ).

fof(f333,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f334,plain,
    ! [X0] : plus(X0,n2) = succ(succ(X0)),
    inference(cnf_transformation,[],[f31]) ).

fof(f335,plain,
    ! [X0] : succ(succ(X0)) = plus(n2,X0),
    inference(cnf_transformation,[],[f32]) ).

fof(f342,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f343,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[],[f40]) ).

fof(f362,plain,
    ( leq(n0,sK34)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f239]) ).

fof(f363,plain,
    ( leq(sK34,n2)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f239]) ).

fof(f364,plain,
    ( init != a_select2(s_center7_init,sK34)
    | ~ sP6 ),
    inference(cnf_transformation,[],[f239]) ).

fof(f365,plain,
    ( leq(n0,sK35)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f243]) ).

fof(f366,plain,
    ( leq(sK35,n3)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f243]) ).

fof(f367,plain,
    ( init != a_select2(s_values7_init,sK35)
    | ~ sP5 ),
    inference(cnf_transformation,[],[f243]) ).

fof(f368,plain,
    ( leq(n0,sK36)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f248]) ).

fof(f369,plain,
    ( leq(sK36,n2)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f248]) ).

fof(f370,plain,
    ( leq(n0,sK37)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f248]) ).

fof(f371,plain,
    ( leq(sK37,n3)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f248]) ).

fof(f372,plain,
    ( init != a_select3(simplex7_init,sK37,sK36)
    | ~ sP4 ),
    inference(cnf_transformation,[],[f248]) ).

fof(f374,plain,
    init = s_best7_init,
    inference(cnf_transformation,[],[f251]) ).

fof(f375,plain,
    init = s_sworst7_init,
    inference(cnf_transformation,[],[f251]) ).

fof(f376,plain,
    init = s_worst7_init,
    inference(cnf_transformation,[],[f251]) ).

fof(f377,plain,
    leq(n0,s_best7),
    inference(cnf_transformation,[],[f251]) ).

fof(f378,plain,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[],[f251]) ).

fof(f379,plain,
    leq(n0,s_worst7),
    inference(cnf_transformation,[],[f251]) ).

fof(f380,plain,
    leq(n0,pv7),
    inference(cnf_transformation,[],[f251]) ).

fof(f382,plain,
    leq(n0,pv19),
    inference(cnf_transformation,[],[f251]) ).

fof(f383,plain,
    leq(n0,pv20),
    inference(cnf_transformation,[],[f251]) ).

fof(f384,plain,
    leq(s_best7,n3),
    inference(cnf_transformation,[],[f251]) ).

fof(f385,plain,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[],[f251]) ).

fof(f386,plain,
    leq(s_worst7,n3),
    inference(cnf_transformation,[],[f251]) ).

fof(f387,plain,
    leq(pv7,minus(n410,n1)),
    inference(cnf_transformation,[],[f251]) ).

fof(f389,plain,
    leq(pv19,minus(n410,n1)),
    inference(cnf_transformation,[],[f251]) ).

fof(f390,plain,
    leq(pv20,minus(n330,n1)),
    inference(cnf_transformation,[],[f251]) ).

fof(f391,plain,
    ! [X4,X5] :
      ( init = a_select3(simplex7_init,X5,X4)
      | ~ leq(X5,n3)
      | ~ leq(n0,X5)
      | ~ leq(X4,n2)
      | ~ leq(n0,X4) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f392,plain,
    ! [X3] :
      ( init = a_select2(s_values7_init,X3)
      | ~ leq(X3,n3)
      | ~ leq(n0,X3) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f393,plain,
    ! [X2] :
      ( init = a_select2(s_center7_init,X2)
      | ~ leq(X2,n2)
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f394,plain,
    ! [X1] :
      ( init = a_select2(s_try7_init,X1)
      | ~ leq(X1,minus(n3,n1))
      | ~ leq(n0,X1) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f395,plain,
    ( init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f396,plain,
    ( init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f397,plain,
    ( init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f422,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f73]) ).

fof(f423,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f74]) ).

fof(f430,plain,
    gt(n3,n1),
    inference(cnf_transformation,[],[f81]) ).

fof(f448,plain,
    n1 = succ(n0),
    inference(cnf_transformation,[],[f99]) ).

fof(f449,plain,
    n2 = succ(succ(n0)),
    inference(cnf_transformation,[],[f100]) ).

fof(f450,plain,
    n3 = succ(succ(succ(n0))),
    inference(cnf_transformation,[],[f101]) ).

fof(f451,plain,
    ! [X0,X1] :
      ( leq(X0,minus(X1,n1))
      | ~ gt(X1,X0) ),
    inference(definition_unfolding,[],[f260,f342]) ).

fof(f458,plain,
    ! [X0] : plus(X0,n1) = plus(n1,X0),
    inference(definition_unfolding,[],[f333,f332]) ).

fof(f459,plain,
    ! [X0] : plus(X0,n2) = plus(plus(X0,n1),n1),
    inference(definition_unfolding,[],[f334,f332,f332]) ).

fof(f460,plain,
    ! [X0] : plus(n2,X0) = plus(plus(X0,n1),n1),
    inference(definition_unfolding,[],[f335,f332,f332]) ).

fof(f467,plain,
    ! [X0] : minus(plus(X0,n1),n1) = X0,
    inference(definition_unfolding,[],[f343,f342,f332]) ).

fof(f472,plain,
    ( s_worst7_init != a_select2(s_center7_init,sK34)
    | ~ sP6 ),
    inference(definition_unfolding,[],[f364,f376]) ).

fof(f473,plain,
    ( s_worst7_init != a_select2(s_values7_init,sK35)
    | ~ sP5 ),
    inference(definition_unfolding,[],[f367,f376]) ).

fof(f474,plain,
    ( s_worst7_init != a_select3(simplex7_init,sK37,sK36)
    | ~ sP4 ),
    inference(definition_unfolding,[],[f372,f376]) ).

fof(f481,plain,
    ( s_worst7_init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f397,f376]) ).

fof(f482,plain,
    ( s_worst7_init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f396,f376]) ).

fof(f483,plain,
    ( s_worst7_init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(definition_unfolding,[],[f395,f376]) ).

fof(f484,plain,
    ! [X1] :
      ( s_worst7_init = a_select2(s_try7_init,X1)
      | ~ leq(X1,minus(n3,n1))
      | ~ leq(n0,X1) ),
    inference(definition_unfolding,[],[f394,f376]) ).

fof(f485,plain,
    ! [X2] :
      ( s_worst7_init = a_select2(s_center7_init,X2)
      | ~ leq(X2,n2)
      | ~ leq(n0,X2) ),
    inference(definition_unfolding,[],[f393,f376]) ).

fof(f486,plain,
    ! [X3] :
      ( s_worst7_init = a_select2(s_values7_init,X3)
      | ~ leq(X3,n3)
      | ~ leq(n0,X3) ),
    inference(definition_unfolding,[],[f392,f376]) ).

fof(f487,plain,
    ! [X4,X5] :
      ( s_worst7_init = a_select3(simplex7_init,X5,X4)
      | ~ leq(X5,n3)
      | ~ leq(n0,X5)
      | ~ leq(X4,n2)
      | ~ leq(n0,X4) ),
    inference(definition_unfolding,[],[f391,f376]) ).

fof(f488,plain,
    s_sworst7_init = s_worst7_init,
    inference(definition_unfolding,[],[f375,f376]) ).

fof(f489,plain,
    s_best7_init = s_worst7_init,
    inference(definition_unfolding,[],[f374,f376]) ).

fof(f493,plain,
    n1 = plus(n0,n1),
    inference(definition_unfolding,[],[f448,f332]) ).

fof(f494,plain,
    n2 = plus(plus(n0,n1),n1),
    inference(definition_unfolding,[],[f449,f332,f332]) ).

fof(f495,plain,
    n3 = plus(plus(plus(n0,n1),n1),n1),
    inference(definition_unfolding,[],[f450,f332,f332,f332]) ).

cnf(c_52,plain,
    leq(X0,X0),
    inference(cnf_transformation,[],[f255]) ).

cnf(c_54,plain,
    ( ~ gt(X0,X1)
    | leq(X1,X0) ),
    inference(cnf_transformation,[],[f257]) ).

cnf(c_56,plain,
    ( ~ gt(X0,X1)
    | leq(X1,minus(X0,n1)) ),
    inference(cnf_transformation,[],[f451]) ).

cnf(c_129,plain,
    plus(X0,n1) = plus(n1,X0),
    inference(cnf_transformation,[],[f458]) ).

cnf(c_130,plain,
    plus(plus(X0,n1),n1) = plus(X0,n2),
    inference(cnf_transformation,[],[f459]) ).

cnf(c_131,plain,
    plus(plus(X0,n1),n1) = plus(n2,X0),
    inference(cnf_transformation,[],[f460]) ).

cnf(c_138,plain,
    minus(plus(X0,n1),n1) = X0,
    inference(cnf_transformation,[],[f467]) ).

cnf(c_157,negated_conjecture,
    ( a_select2(s_center7_init,sK34) != s_worst7_init
    | ~ sP6 ),
    inference(cnf_transformation,[],[f472]) ).

cnf(c_158,plain,
    ( ~ sP6
    | leq(sK34,n2) ),
    inference(cnf_transformation,[],[f363]) ).

cnf(c_159,plain,
    ( ~ sP6
    | leq(n0,sK34) ),
    inference(cnf_transformation,[],[f362]) ).

cnf(c_160,negated_conjecture,
    ( a_select2(s_values7_init,sK35) != s_worst7_init
    | ~ sP5 ),
    inference(cnf_transformation,[],[f473]) ).

cnf(c_161,plain,
    ( ~ sP5
    | leq(sK35,n3) ),
    inference(cnf_transformation,[],[f366]) ).

cnf(c_162,plain,
    ( ~ sP5
    | leq(n0,sK35) ),
    inference(cnf_transformation,[],[f365]) ).

cnf(c_163,negated_conjecture,
    ( a_select3(simplex7_init,sK37,sK36) != s_worst7_init
    | ~ sP4 ),
    inference(cnf_transformation,[],[f474]) ).

cnf(c_164,plain,
    ( ~ sP4
    | leq(sK37,n3) ),
    inference(cnf_transformation,[],[f371]) ).

cnf(c_165,plain,
    ( ~ sP4
    | leq(n0,sK37) ),
    inference(cnf_transformation,[],[f370]) ).

cnf(c_166,plain,
    ( ~ sP4
    | leq(sK36,n2) ),
    inference(cnf_transformation,[],[f369]) ).

cnf(c_167,plain,
    ( ~ sP4
    | leq(n0,sK36) ),
    inference(cnf_transformation,[],[f368]) ).

cnf(c_168,negated_conjecture,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,sK38) != s_worst7_init
    | s_worst7_init != s_worst7_init
    | s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | sP6
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f499]) ).

cnf(c_169,negated_conjecture,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | s_worst7_init != s_worst7_init
    | s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | leq(sK38,minus(n3,n1))
    | sP6
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f500]) ).

cnf(c_170,negated_conjecture,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | s_worst7_init != s_worst7_init
    | s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | leq(n0,sK38)
    | sP6
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f501]) ).

cnf(c_171,negated_conjecture,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,sK38) != s_worst7_init
    | s_worst7_init != s_worst7_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | gt(loopcounter,n1)
    | sP6
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f502]) ).

cnf(c_172,negated_conjecture,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | s_worst7_init != s_worst7_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | leq(sK38,minus(n3,n1))
    | gt(loopcounter,n1)
    | sP6
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f503]) ).

cnf(c_173,negated_conjecture,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | s_worst7_init != s_worst7_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | gt(loopcounter,n1)
    | leq(n0,sK38)
    | sP6
    | sP5
    | sP4 ),
    inference(cnf_transformation,[],[f504]) ).

cnf(c_174,negated_conjecture,
    ( ~ gt(loopcounter,n1)
    | s_worst7_init = pvar1402_init ),
    inference(cnf_transformation,[],[f481]) ).

cnf(c_175,negated_conjecture,
    ( ~ gt(loopcounter,n1)
    | s_worst7_init = pvar1401_init ),
    inference(cnf_transformation,[],[f482]) ).

cnf(c_176,negated_conjecture,
    ( ~ gt(loopcounter,n1)
    | s_worst7_init = pvar1400_init ),
    inference(cnf_transformation,[],[f483]) ).

cnf(c_177,negated_conjecture,
    ( ~ leq(X0,minus(n3,n1))
    | ~ leq(n0,X0)
    | a_select2(s_try7_init,X0) = s_worst7_init ),
    inference(cnf_transformation,[],[f484]) ).

cnf(c_178,negated_conjecture,
    ( ~ leq(X0,n2)
    | ~ leq(n0,X0)
    | a_select2(s_center7_init,X0) = s_worst7_init ),
    inference(cnf_transformation,[],[f485]) ).

cnf(c_179,negated_conjecture,
    ( ~ leq(X0,n3)
    | ~ leq(n0,X0)
    | a_select2(s_values7_init,X0) = s_worst7_init ),
    inference(cnf_transformation,[],[f486]) ).

cnf(c_180,negated_conjecture,
    ( ~ leq(X0,n2)
    | ~ leq(X1,n3)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(simplex7_init,X1,X0) = s_worst7_init ),
    inference(cnf_transformation,[],[f487]) ).

cnf(c_181,negated_conjecture,
    leq(pv20,minus(n330,n1)),
    inference(cnf_transformation,[],[f390]) ).

cnf(c_182,negated_conjecture,
    leq(pv19,minus(n410,n1)),
    inference(cnf_transformation,[],[f389]) ).

cnf(c_184,negated_conjecture,
    leq(pv7,minus(n410,n1)),
    inference(cnf_transformation,[],[f387]) ).

cnf(c_185,negated_conjecture,
    leq(s_worst7,n3),
    inference(cnf_transformation,[],[f386]) ).

cnf(c_186,negated_conjecture,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[],[f385]) ).

cnf(c_187,negated_conjecture,
    leq(s_best7,n3),
    inference(cnf_transformation,[],[f384]) ).

cnf(c_188,negated_conjecture,
    leq(n0,pv20),
    inference(cnf_transformation,[],[f383]) ).

cnf(c_189,negated_conjecture,
    leq(n0,pv19),
    inference(cnf_transformation,[],[f382]) ).

cnf(c_191,negated_conjecture,
    leq(n0,pv7),
    inference(cnf_transformation,[],[f380]) ).

cnf(c_192,negated_conjecture,
    leq(n0,s_worst7),
    inference(cnf_transformation,[],[f379]) ).

cnf(c_193,negated_conjecture,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[],[f378]) ).

cnf(c_194,negated_conjecture,
    leq(n0,s_best7),
    inference(cnf_transformation,[],[f377]) ).

cnf(c_195,negated_conjecture,
    s_worst7_init = s_sworst7_init,
    inference(cnf_transformation,[],[f488]) ).

cnf(c_196,negated_conjecture,
    s_worst7_init = s_best7_init,
    inference(cnf_transformation,[],[f489]) ).

cnf(c_215,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f422]) ).

cnf(c_216,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f423]) ).

cnf(c_223,plain,
    gt(n3,n1),
    inference(cnf_transformation,[],[f430]) ).

cnf(c_241,plain,
    plus(n0,n1) = n1,
    inference(cnf_transformation,[],[f493]) ).

cnf(c_242,plain,
    plus(plus(n0,n1),n1) = n2,
    inference(cnf_transformation,[],[f494]) ).

cnf(c_243,plain,
    plus(plus(plus(n0,n1),n1),n1) = n3,
    inference(cnf_transformation,[],[f495]) ).

cnf(c_244,plain,
    leq(n0,n0),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_338,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | gt(loopcounter,n1)
    | leq(n0,sK38)
    | sP6
    | sP5
    | sP4 ),
    inference(equality_resolution_simp,[status(thm)],[c_173]) ).

cnf(c_339,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | gt(loopcounter,n1)
    | leq(n0,sK38)
    | sP6
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_338,c_194,c_193,c_192,c_191,c_189,c_188,c_187,c_186,c_185,c_196,c_195,c_184,c_182,c_181,c_338]) ).

cnf(c_341,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | leq(sK38,minus(n3,n1))
    | gt(loopcounter,n1)
    | sP6
    | sP5
    | sP4 ),
    inference(equality_resolution_simp,[status(thm)],[c_172]) ).

cnf(c_342,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(sK38,minus(n3,n1))
    | gt(loopcounter,n1)
    | sP6
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_341,c_194,c_193,c_192,c_191,c_189,c_188,c_187,c_186,c_185,c_196,c_195,c_184,c_182,c_181,c_341]) ).

cnf(c_344,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,sK38) != s_worst7_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | gt(loopcounter,n1)
    | sP6
    | sP5
    | sP4 ),
    inference(equality_resolution_simp,[status(thm)],[c_171]) ).

cnf(c_345,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,sK38) != s_worst7_init
    | gt(loopcounter,n1)
    | sP6
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_344,c_194,c_193,c_192,c_191,c_189,c_188,c_187,c_186,c_185,c_196,c_195,c_184,c_182,c_181,c_344]) ).

cnf(c_347,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | leq(n0,sK38)
    | sP6
    | sP5
    | sP4 ),
    inference(equality_resolution_simp,[status(thm)],[c_170]) ).

cnf(c_348,plain,
    ( a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n1) != s_worst7_init
    | leq(n0,sK38)
    | sP6
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_347,c_194,c_193,c_192,c_191,c_189,c_188,c_187,c_186,c_185,c_196,c_195,c_184,c_182,c_181,c_176,c_175,c_174,c_339,c_347]) ).

cnf(c_349,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(n0,sK38)
    | sP6
    | sP5
    | sP4 ),
    inference(renaming,[status(thm)],[c_348]) ).

cnf(c_350,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | leq(sK38,minus(n3,n1))
    | sP6
    | sP5
    | sP4 ),
    inference(equality_resolution_simp,[status(thm)],[c_169]) ).

cnf(c_351,plain,
    ( a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n1) != s_worst7_init
    | leq(sK38,minus(n3,n1))
    | sP6
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_350,c_194,c_193,c_192,c_191,c_189,c_188,c_187,c_186,c_185,c_196,c_195,c_184,c_182,c_181,c_176,c_175,c_174,c_342,c_350]) ).

cnf(c_352,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(sK38,minus(n3,n1))
    | sP6
    | sP5
    | sP4 ),
    inference(renaming,[status(thm)],[c_351]) ).

cnf(c_353,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,sK38) != s_worst7_init
    | s_worst7_init != pvar1402_init
    | s_worst7_init != pvar1401_init
    | s_worst7_init != pvar1400_init
    | s_worst7_init != s_sworst7_init
    | s_worst7_init != s_best7_init
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | sP6
    | sP5
    | sP4 ),
    inference(equality_resolution_simp,[status(thm)],[c_168]) ).

cnf(c_354,plain,
    ( a_select2(s_try7_init,sK38) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n1) != s_worst7_init
    | sP6
    | sP5
    | sP4 ),
    inference(global_subsumption_just,[status(thm)],[c_353,c_194,c_193,c_192,c_191,c_189,c_188,c_187,c_186,c_185,c_196,c_195,c_184,c_182,c_181,c_176,c_175,c_174,c_345,c_353]) ).

cnf(c_355,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,sK38) != s_worst7_init
    | sP6
    | sP5
    | sP4 ),
    inference(renaming,[status(thm)],[c_354]) ).

cnf(c_456,plain,
    ( ~ sP4
    | a_select3(simplex7_init,sK37,sK36) != s_worst7_init ),
    inference(prop_impl_just,[status(thm)],[c_163]) ).

cnf(c_457,plain,
    ( a_select3(simplex7_init,sK37,sK36) != s_worst7_init
    | ~ sP4 ),
    inference(renaming,[status(thm)],[c_456]) ).

cnf(c_458,plain,
    ( ~ sP4
    | leq(sK37,n3) ),
    inference(prop_impl_just,[status(thm)],[c_164]) ).

cnf(c_460,plain,
    ( ~ sP4
    | leq(n0,sK37) ),
    inference(prop_impl_just,[status(thm)],[c_165]) ).

cnf(c_462,plain,
    ( ~ sP4
    | leq(sK36,n2) ),
    inference(prop_impl_just,[status(thm)],[c_166]) ).

cnf(c_464,plain,
    ( ~ sP4
    | leq(n0,sK36) ),
    inference(prop_impl_just,[status(thm)],[c_167]) ).

cnf(c_2000,plain,
    plus(n1,n1) = n2,
    inference(light_normalisation,[status(thm)],[c_242,c_241]) ).

cnf(c_2123,plain,
    plus(n2,n1) = n3,
    inference(light_normalisation,[status(thm)],[c_243,c_241,c_2000]) ).

cnf(c_2124,plain,
    plus(n1,n2) = n3,
    inference(demodulation,[status(thm)],[c_2123,c_129]) ).

cnf(c_2129,plain,
    plus(n1,plus(X0,n1)) = plus(n2,X0),
    inference(demodulation,[status(thm)],[c_131,c_129]) ).

cnf(c_2130,plain,
    plus(X0,n2) = plus(n2,X0),
    inference(demodulation,[status(thm)],[c_130,c_129,c_2129]) ).

cnf(c_3518,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,sK38) != s_worst7_init
    | leq(n0,sK36)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_355,c_464]) ).

cnf(c_3540,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,sK38) != s_worst7_init
    | leq(sK36,n2)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_355,c_462]) ).

cnf(c_3562,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,sK38) != s_worst7_init
    | leq(n0,sK37)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_355,c_460]) ).

cnf(c_3584,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,sK38) != s_worst7_init
    | leq(sK37,n3)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_355,c_458]) ).

cnf(c_3606,plain,
    ( a_select3(simplex7_init,sK37,sK36) != s_worst7_init
    | a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | a_select2(s_try7_init,sK38) != s_worst7_init
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_355,c_457]) ).

cnf(c_3628,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(sK38,minus(n3,n1))
    | leq(n0,sK36)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_352,c_464]) ).

cnf(c_3650,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(sK38,minus(n3,n1))
    | leq(sK36,n2)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_352,c_462]) ).

cnf(c_3672,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(sK38,minus(n3,n1))
    | leq(n0,sK37)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_352,c_460]) ).

cnf(c_3694,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(sK38,minus(n3,n1))
    | leq(sK37,n3)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_352,c_458]) ).

cnf(c_3716,plain,
    ( a_select3(simplex7_init,sK37,sK36) != s_worst7_init
    | a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(sK38,minus(n3,n1))
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_352,c_457]) ).

cnf(c_3738,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(n0,sK36)
    | leq(n0,sK38)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_349,c_464]) ).

cnf(c_3760,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(n0,sK38)
    | leq(sK36,n2)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_349,c_462]) ).

cnf(c_3782,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(n0,sK37)
    | leq(n0,sK38)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_349,c_460]) ).

cnf(c_3804,plain,
    ( a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(n0,sK38)
    | leq(sK37,n3)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_349,c_458]) ).

cnf(c_3826,plain,
    ( a_select3(simplex7_init,sK37,sK36) != s_worst7_init
    | a_select2(s_try7_init,n1) != s_worst7_init
    | a_select2(s_try7_init,n0) != s_worst7_init
    | a_select2(s_try7_init,n2) != s_worst7_init
    | leq(n0,sK38)
    | sP6
    | sP5 ),
    inference(resolution,[status(thm)],[c_349,c_457]) ).

cnf(c_17528,plain,
    ( ~ leq(n0,minus(n3,n1))
    | a_select2(s_try7_init,minus(n3,n1)) = s_worst7_init ),
    inference(superposition,[status(thm)],[c_52,c_177]) ).

cnf(c_17731,plain,
    ( ~ leq(sK34,n3)
    | ~ sP6
    | a_select2(s_values7_init,sK34) = s_worst7_init ),
    inference(superposition,[status(thm)],[c_159,c_179]) ).

cnf(c_17732,plain,
    ( ~ leq(sK34,n2)
    | ~ sP6
    | a_select2(s_center7_init,sK34) = s_worst7_init ),
    inference(superposition,[status(thm)],[c_159,c_178]) ).

cnf(c_17759,plain,
    ( ~ leq(sK35,n3)
    | ~ sP5
    | a_select2(s_values7_init,sK35) = s_worst7_init ),
    inference(superposition,[status(thm)],[c_162,c_179]) ).

cnf(c_17781,plain,
    ~ sP6,
    inference(global_subsumption_just,[status(thm)],[c_17731,c_158,c_157,c_17732]) ).

cnf(c_17785,plain,
    ~ sP5,
    inference(global_subsumption_just,[status(thm)],[c_17759,c_161,c_160,c_17759]) ).

cnf(c_17984,plain,
    leq(n0,n1),
    inference(superposition,[status(thm)],[c_215,c_54]) ).

cnf(c_17985,plain,
    leq(n0,n2),
    inference(superposition,[status(thm)],[c_216,c_54]) ).

cnf(c_18032,plain,
    minus(plus(n1,n2),n1) = n2,
    inference(superposition,[status(thm)],[c_2130,c_138]) ).

cnf(c_18036,plain,
    minus(n3,n1) = n2,
    inference(light_normalisation,[status(thm)],[c_18032,c_2124]) ).

cnf(c_18037,plain,
    ( ~ leq(n0,n2)
    | a_select2(s_try7_init,n2) = s_worst7_init ),
    inference(demodulation,[status(thm)],[c_17528,c_18036]) ).

cnf(c_18038,plain,
    ( ~ leq(X0,n2)
    | ~ leq(n0,X0)
    | a_select2(s_try7_init,X0) = s_worst7_init ),
    inference(demodulation,[status(thm)],[c_177,c_18036]) ).

cnf(c_18045,plain,
    ( ~ leq(n0,n0)
    | ~ leq(n0,n2)
    | a_select2(s_try7_init,n0) = s_worst7_init ),
    inference(instantiation,[status(thm)],[c_18038]) ).

cnf(c_18336,plain,
    ( ~ leq(n1,minus(n3,n1))
    | ~ leq(n0,n1)
    | a_select2(s_try7_init,n1) = s_worst7_init ),
    inference(instantiation,[status(thm)],[c_177]) ).

cnf(c_18367,plain,
    ( ~ gt(n3,n1)
    | leq(n1,minus(n3,n1)) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_20589,plain,
    ( ~ leq(sK38,minus(n3,n1))
    | ~ leq(n0,sK38)
    | a_select2(s_try7_init,sK38) = s_worst7_init ),
    inference(instantiation,[status(thm)],[c_177]) ).

cnf(c_21199,negated_conjecture,
    a_select3(simplex7_init,sK37,sK36) != s_worst7_init,
    inference(global_subsumption_just,[status(thm)],[c_163,c_223,c_244,c_161,c_158,c_160,c_157,c_3606,c_3716,c_3826,c_17732,c_17759,c_17985,c_17984,c_18037,c_18045,c_18336,c_18367,c_20589]) ).

cnf(c_22832,plain,
    leq(sK37,n3),
    inference(global_subsumption_just,[status(thm)],[c_164,c_223,c_244,c_161,c_158,c_160,c_157,c_3584,c_3694,c_3804,c_17732,c_17759,c_17985,c_17984,c_18037,c_18045,c_18336,c_18367,c_20589]) ).

cnf(c_22947,plain,
    leq(n0,sK37),
    inference(global_subsumption_just,[status(thm)],[c_165,c_223,c_244,c_161,c_158,c_160,c_157,c_3562,c_3672,c_3782,c_17732,c_17759,c_17985,c_17984,c_18037,c_18045,c_18336,c_18367,c_20589]) ).

cnf(c_22966,plain,
    leq(sK36,n2),
    inference(global_subsumption_just,[status(thm)],[c_166,c_223,c_244,c_161,c_158,c_160,c_157,c_3540,c_3650,c_3760,c_17732,c_17759,c_17985,c_17984,c_18037,c_18045,c_18336,c_18367,c_20589]) ).

cnf(c_22968,plain,
    leq(n0,sK36),
    inference(global_subsumption_just,[status(thm)],[c_167,c_223,c_244,c_3518,c_3628,c_3738,c_17781,c_17785,c_17985,c_17984,c_18037,c_18045,c_18336,c_18367,c_20589]) ).

cnf(c_27403,plain,
    ( ~ leq(n0,sK37)
    | ~ leq(n0,sK36)
    | ~ leq(sK37,n3)
    | ~ leq(sK36,n2)
    | a_select3(simplex7_init,sK37,sK36) = s_worst7_init ),
    inference(instantiation,[status(thm)],[c_180]) ).

cnf(c_27404,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_27403,c_22968,c_22966,c_22947,c_22832,c_21199]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV024+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Aug 29 04:04:26 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.61/1.67  % SZS status Started for theBenchmark.p
% 7.61/1.67  % SZS status Theorem for theBenchmark.p
% 7.61/1.67  
% 7.61/1.67  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.61/1.67  
% 7.61/1.67  ------  iProver source info
% 7.61/1.67  
% 7.61/1.67  git: date: 2023-05-31 18:12:56 +0000
% 7.61/1.67  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.61/1.67  git: non_committed_changes: false
% 7.61/1.67  git: last_make_outside_of_git: false
% 7.61/1.67  
% 7.61/1.67  ------ Parsing...
% 7.61/1.67  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.61/1.67  
% 7.61/1.67  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 7.61/1.67  
% 7.61/1.67  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.61/1.67  
% 7.61/1.67  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.61/1.67  ------ Proving...
% 7.61/1.67  ------ Problem Properties 
% 7.61/1.67  
% 7.61/1.67  
% 7.61/1.67  clauses                                 192
% 7.61/1.67  conjectures                             26
% 7.61/1.67  EPR                                     74
% 7.61/1.67  Horn                                    139
% 7.61/1.67  unary                                   77
% 7.61/1.67  binary                                  48
% 7.61/1.67  lits                                    573
% 7.61/1.67  lits eq                                 135
% 7.61/1.67  fd_pure                                 0
% 7.61/1.67  fd_pseudo                               0
% 7.61/1.67  fd_cond                                 6
% 7.61/1.67  fd_pseudo_cond                          4
% 7.61/1.67  AC symbols                              0
% 7.61/1.67  
% 7.61/1.67  ------ Schedule dynamic 5 is on 
% 7.61/1.67  
% 7.61/1.67  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.61/1.67  
% 7.61/1.67  
% 7.61/1.67  ------ 
% 7.61/1.67  Current options:
% 7.61/1.67  ------ 
% 7.61/1.67  
% 7.61/1.67  
% 7.61/1.67  
% 7.61/1.67  
% 7.61/1.67  ------ Proving...
% 7.61/1.67  
% 7.61/1.67  
% 7.61/1.67  % SZS status Theorem for theBenchmark.p
% 7.61/1.67  
% 7.61/1.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.61/1.68  
% 7.61/1.68  
%------------------------------------------------------------------------------