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FindProof---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SWV030+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n004.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 : Fri Sep 25 03:11:45 PM UTC 2026

% Result   : Theorem 25.59s 9.04s
% Output   : Proof 25.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :    1
% Syntax   : Number of formulae    :  198 (  18 unt;   0 def)
%            Number of atoms       : 1196 ( 145 equ)
%            Maximal formula atoms :   34 (   6 avg)
%            Number of connectives : 1812 ( 814   ~; 898   |;  86   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  16 con; 0-3 aty)
%            Number of variables   :   27 (   0 sgn  18   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52,conjecture,
    ( ( ! [C] :
          ( ( leq(C,minus(pv1376,n1))
            & leq(n0,C) )
         => a_select2(s_values7_init,C) = init )
      & ! [A] :
          ( ( leq(A,n2)
            & leq(n0,A) )
         => ! [B] :
              ( ( leq(B,n3)
                & leq(n0,B) )
             => a_select3(simplex7_init,B,A) = init ) )
      & leq(pv1376,n3)
      & leq(pv20,minus(n330,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv7,minus(n410,n1))
      & leq(n0,pv1376)
      & leq(n0,pv20)
      & leq(n0,pv19)
      & leq(n0,pv7)
      & init = init )
   => ( ! [F] :
          ( ( leq(F,minus(pv1376,n1))
            & leq(n0,F) )
         => a_select2(s_values7_init,F) = init )
      & ! [D] :
          ( ( leq(D,n2)
            & leq(n0,D) )
         => ! [E] :
              ( ( leq(E,n3)
                & leq(n0,E) )
             => a_select3(simplex7_init,E,D) = init ) )
      & leq(pv1376,n3)
      & leq(pv20,minus(n330,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv7,minus(n410,n1))
      & leq(n0,pv1376)
      & leq(n0,pv20)
      & leq(n0,pv19)
      & leq(n0,pv7)
      & init = init ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0033) ).

fof(f52_neg,negated_conjecture,
    ~ ( ( ! [C] :
            ( ( leq(C,minus(pv1376,n1))
              & leq(n0,C) )
           => a_select2(s_values7_init,C) = init )
        & ! [A] :
            ( ( leq(A,n2)
              & leq(n0,A) )
           => ! [B] :
                ( ( leq(B,n3)
                  & leq(n0,B) )
               => a_select3(simplex7_init,B,A) = init ) )
        & leq(pv1376,n3)
        & leq(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv7,minus(n410,n1))
        & leq(n0,pv1376)
        & leq(n0,pv20)
        & leq(n0,pv19)
        & leq(n0,pv7)
        & init = init )
     => ( ! [F] :
            ( ( leq(F,minus(pv1376,n1))
              & leq(n0,F) )
           => a_select2(s_values7_init,F) = init )
        & ! [D] :
            ( ( leq(D,n2)
              & leq(n0,D) )
           => ! [E] :
                ( ( leq(E,n3)
                  & leq(n0,E) )
               => a_select3(simplex7_init,E,D) = init ) )
        & leq(pv1376,n3)
        & leq(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv7,minus(n410,n1))
        & leq(n0,pv1376)
        & leq(n0,pv20)
        & leq(n0,pv19)
        & leq(n0,pv7)
        & init = init ) ),
    inference(negated_conjecture,[status(cth)],[f52]) ).

fof(f52_nnf,plain,
    ( ( ? [F] :
          ( a_select2(s_values7_init,F) != init
          & leq(F,minus(pv1376,n1))
          & leq(n0,F) )
      | ? [D] :
          ( ? [E] :
              ( a_select3(simplex7_init,E,D) != init
              & leq(E,n3)
              & leq(n0,E) )
          & leq(D,n2)
          & leq(n0,D) )
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv7,minus(n410,n1))
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv7)
      | init != init )
    & ! [C] :
        ( a_select2(s_values7_init,C) = init
        | ~ leq(C,minus(pv1376,n1))
        | ~ leq(n0,C) )
    & ! [A] :
        ( ! [B] :
            ( a_select3(simplex7_init,B,A) = init
            | ~ leq(B,n3)
            | ~ leq(n0,B) )
        | ~ leq(A,n2)
        | ~ leq(n0,A) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv7,minus(n410,n1))
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,pv7)
    & init = init ),
    inference(nnf_transformation,[status(thm)],[f52_neg]) ).

fof(f52_sk,plain,
    ! [A,B,C] :
      ( ( ( a_select2(s_values7_init,sk29) != init
          & leq(sk29,minus(pv1376,n1))
          & leq(n0,sk29) )
        | ( a_select3(simplex7_init,sk28,sk27) != init
          & leq(sk28,n3)
          & leq(n0,sk28)
          & leq(sk27,n2)
          & leq(n0,sk27) )
        | ~ leq(pv1376,n3)
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(n0,pv1376)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv7)
        | init != init )
      & ( a_select2(s_values7_init,C) = init
        | ~ leq(C,minus(pv1376,n1))
        | ~ leq(n0,C) )
      & ( a_select3(simplex7_init,B,A) = init
        | ~ leq(B,n3)
        | ~ leq(n0,B)
        | ~ leq(A,n2)
        | ~ leq(n0,A) )
      & leq(pv1376,n3)
      & leq(pv20,minus(n330,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv7,minus(n410,n1))
      & leq(n0,pv1376)
      & leq(n0,pv20)
      & leq(n0,pv19)
      & leq(n0,pv7)
      & init = init ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sk27,sk28,sk29])],[f52_nnf]) ).

cnf(c267,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p500,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c267]) ).

cnf(c256,plain,
    leq(n0,pv7),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p501,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p500,c256]) ).

cnf(c257,plain,
    leq(n0,pv19),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p502,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p501,c257]) ).

cnf(c258,plain,
    leq(n0,pv20),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p503,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p502,c258]) ).

cnf(c259,plain,
    leq(n0,pv1376),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p504,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p503,c259]) ).

cnf(c260,plain,
    leq(pv7,minus(n410,n1)),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p505,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p504,c260]) ).

cnf(c261,plain,
    leq(pv19,minus(n410,n1)),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p506,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p505,c261]) ).

cnf(c262,plain,
    leq(pv20,minus(n330,n1)),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p507,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk27)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p506,c262]) ).

cnf(c263,plain,
    leq(pv1376,n3),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p508,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk27) ),
    inference(resolution,[status(thm)],[p507,c263]) ).

cnf(c266,plain,
    ( leq(n0,sk29)
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p333,plain,
    ( leq(n0,sk29)
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c266]) ).

cnf(p334,plain,
    ( leq(n0,sk29)
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p333,c256]) ).

cnf(p335,plain,
    ( leq(n0,sk29)
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p334,c257]) ).

cnf(p336,plain,
    ( leq(n0,sk29)
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p335,c258]) ).

cnf(p337,plain,
    ( leq(n0,sk29)
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p336,c259]) ).

cnf(p338,plain,
    ( leq(n0,sk29)
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p337,c260]) ).

cnf(p339,plain,
    ( leq(n0,sk29)
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p338,c261]) ).

cnf(p340,plain,
    ( leq(n0,sk29)
    | leq(n0,sk27)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p339,c262]) ).

cnf(p341,plain,
    ( leq(n0,sk29)
    | leq(n0,sk27) ),
    inference(resolution,[status(thm)],[p340,c263]) ).

cnf(c265,plain,
    ( a_select2(s_values7_init,X2) = init
    | ~ leq(X2,minus(pv1376,n1))
    | ~ leq(n0,X2) ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p342,plain,
    ( a_select2(s_values7_init,sk29) = init
    | ~ leq(sk29,minus(pv1376,n1))
    | leq(n0,sk27) ),
    inference(resolution,[status(thm)],[p341,c265]) ).

cnf(p509,plain,
    ( a_select2(s_values7_init,sk29) = init
    | leq(n0,sk27)
    | leq(n0,sk27) ),
    inference(resolution,[status(thm)],[p508,p342]) ).

cnf(p510,plain,
    ( a_select2(s_values7_init,sk29) = init
    | leq(n0,sk27) ),
    inference(factoring,[status(thm)],[p509]) ).

cnf(c268,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p491,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c268]) ).

cnf(p492,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p491,c256]) ).

cnf(p493,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p492,c257]) ).

cnf(p494,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p493,c258]) ).

cnf(p495,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p494,c259]) ).

cnf(p496,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p495,c260]) ).

cnf(p497,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk27)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p496,c261]) ).

cnf(p498,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk27)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p497,c262]) ).

cnf(p499,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk27) ),
    inference(resolution,[status(thm)],[p498,c263]) ).

cnf(p511,plain,
    ( leq(n0,sk27)
    | leq(n0,sk27) ),
    inference(resolution,[status(thm)],[p510,p499]) ).

cnf(p512,plain,
    leq(n0,sk27),
    inference(factoring,[status(thm)],[p511]) ).

cnf(c264,plain,
    ( a_select3(simplex7_init,X1,X0) = init
    | ~ leq(X1,n3)
    | ~ leq(n0,X1)
    | ~ leq(X0,n2)
    | ~ leq(n0,X0) ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p514,plain,
    ( a_select3(simplex7_init,X0,sk27) = init
    | ~ leq(X0,n3)
    | ~ leq(n0,X0)
    | ~ leq(sk27,n2) ),
    inference(resolution,[status(thm)],[p512,c264]) ).

cnf(c269,plain,
    ( leq(n0,sk29)
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p456,plain,
    ( leq(n0,sk29)
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c269]) ).

cnf(p483,plain,
    ( leq(n0,sk29)
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p456,c256]) ).

cnf(p484,plain,
    ( leq(n0,sk29)
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p483,c257]) ).

cnf(p485,plain,
    ( leq(n0,sk29)
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p484,c258]) ).

cnf(p486,plain,
    ( leq(n0,sk29)
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p485,c259]) ).

cnf(p487,plain,
    ( leq(n0,sk29)
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p486,c260]) ).

cnf(p488,plain,
    ( leq(n0,sk29)
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p487,c261]) ).

cnf(p489,plain,
    ( leq(n0,sk29)
    | leq(sk27,n2)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p488,c262]) ).

cnf(p490,plain,
    ( leq(n0,sk29)
    | leq(sk27,n2) ),
    inference(resolution,[status(thm)],[p489,c263]) ).

cnf(p517,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,X0,sk27) = init
    | ~ leq(X0,n3)
    | ~ leq(n0,X0) ),
    inference(resolution,[status(thm)],[p514,p490]) ).

cnf(c273,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p432,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c273]) ).

cnf(p433,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p432,c256]) ).

cnf(p434,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p433,c257]) ).

cnf(p435,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p434,c258]) ).

cnf(p436,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p435,c259]) ).

cnf(p437,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p436,c260]) ).

cnf(p438,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p437,c261]) ).

cnf(p439,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk28)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p438,c262]) ).

cnf(p440,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(n0,sk28) ),
    inference(resolution,[status(thm)],[p439,c263]) ).

cnf(c272,plain,
    ( leq(n0,sk29)
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p409,plain,
    ( leq(n0,sk29)
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c272]) ).

cnf(p410,plain,
    ( leq(n0,sk29)
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p409,c256]) ).

cnf(p411,plain,
    ( leq(n0,sk29)
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p410,c257]) ).

cnf(p412,plain,
    ( leq(n0,sk29)
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p411,c258]) ).

cnf(p413,plain,
    ( leq(n0,sk29)
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p412,c259]) ).

cnf(p414,plain,
    ( leq(n0,sk29)
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p413,c260]) ).

cnf(p415,plain,
    ( leq(n0,sk29)
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p414,c261]) ).

cnf(p416,plain,
    ( leq(n0,sk29)
    | leq(n0,sk28)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p415,c262]) ).

cnf(p417,plain,
    ( leq(n0,sk29)
    | leq(n0,sk28) ),
    inference(resolution,[status(thm)],[p416,c263]) ).

cnf(p418,plain,
    ( a_select2(s_values7_init,sk29) = init
    | ~ leq(sk29,minus(pv1376,n1))
    | leq(n0,sk28) ),
    inference(resolution,[status(thm)],[p417,c265]) ).

cnf(p442,plain,
    ( a_select2(s_values7_init,sk29) = init
    | leq(n0,sk28)
    | leq(n0,sk28) ),
    inference(resolution,[status(thm)],[p440,p418]) ).

cnf(p447,plain,
    ( a_select2(s_values7_init,sk29) = init
    | leq(n0,sk28) ),
    inference(factoring,[status(thm)],[p442]) ).

cnf(c274,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p400,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c274]) ).

cnf(p401,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p400,c256]) ).

cnf(p402,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p401,c257]) ).

cnf(p403,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p402,c258]) ).

cnf(p404,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p403,c259]) ).

cnf(p405,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p404,c260]) ).

cnf(p406,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk28)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p405,c261]) ).

cnf(p407,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk28)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p406,c262]) ).

cnf(p408,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(n0,sk28) ),
    inference(resolution,[status(thm)],[p407,c263]) ).

cnf(p448,plain,
    ( leq(n0,sk28)
    | leq(n0,sk28) ),
    inference(resolution,[status(thm)],[p447,p408]) ).

cnf(p450,plain,
    leq(n0,sk28),
    inference(factoring,[status(thm)],[p448]) ).

cnf(p523,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) = init
    | ~ leq(sk28,n3) ),
    inference(resolution,[status(thm)],[p517,p450]) ).

cnf(c275,plain,
    ( leq(n0,sk29)
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p391,plain,
    ( leq(n0,sk29)
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c275]) ).

cnf(p392,plain,
    ( leq(n0,sk29)
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p391,c256]) ).

cnf(p393,plain,
    ( leq(n0,sk29)
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p392,c257]) ).

cnf(p394,plain,
    ( leq(n0,sk29)
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p393,c258]) ).

cnf(p395,plain,
    ( leq(n0,sk29)
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p394,c259]) ).

cnf(p396,plain,
    ( leq(n0,sk29)
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p395,c260]) ).

cnf(p397,plain,
    ( leq(n0,sk29)
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p396,c261]) ).

cnf(p398,plain,
    ( leq(n0,sk29)
    | leq(sk28,n3)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p397,c262]) ).

cnf(p399,plain,
    ( leq(n0,sk29)
    | leq(sk28,n3) ),
    inference(resolution,[status(thm)],[p398,c263]) ).

cnf(p525,plain,
    ( leq(n0,sk29)
    | leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) = init ),
    inference(resolution,[status(thm)],[p523,p399]) ).

cnf(p526,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) = init ),
    inference(factoring,[status(thm)],[p525]) ).

cnf(c278,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p361,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c278]) ).

cnf(p362,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p361,c256]) ).

cnf(p363,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p362,c257]) ).

cnf(p364,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p363,c258]) ).

cnf(p365,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p364,c259]) ).

cnf(p366,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p365,c260]) ).

cnf(p367,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p366,c261]) ).

cnf(p368,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p367,c262]) ).

cnf(p369,plain,
    ( leq(n0,sk29)
    | a_select3(simplex7_init,sk28,sk27) != init ),
    inference(resolution,[status(thm)],[p368,c263]) ).

cnf(p529,plain,
    ( leq(n0,sk29)
    | leq(n0,sk29) ),
    inference(resolution,[status(thm)],[p526,p369]) ).

cnf(p530,plain,
    leq(n0,sk29),
    inference(factoring,[status(thm)],[p529]) ).

cnf(p531,plain,
    ( a_select2(s_values7_init,sk29) = init
    | ~ leq(sk29,minus(pv1376,n1)) ),
    inference(resolution,[status(thm)],[p530,c265]) ).

cnf(c270,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p452,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c270]) ).

cnf(p453,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p452,c256]) ).

cnf(p454,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p453,c257]) ).

cnf(p455,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p454,c258]) ).

cnf(p475,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p455,c259]) ).

cnf(p476,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p475,c260]) ).

cnf(p477,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p476,c261]) ).

cnf(p478,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk27,n2)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p477,c262]) ).

cnf(p479,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk27,n2) ),
    inference(resolution,[status(thm)],[p478,c263]) ).

cnf(p535,plain,
    ( leq(sk27,n2)
    | a_select2(s_values7_init,sk29) = init ),
    inference(resolution,[status(thm)],[p531,p479]) ).

cnf(c271,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p423,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c271]) ).

cnf(p424,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p423,c256]) ).

cnf(p425,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p424,c257]) ).

cnf(p426,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p425,c258]) ).

cnf(p427,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p426,c259]) ).

cnf(p428,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p427,c260]) ).

cnf(p429,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk27,n2)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p428,c261]) ).

cnf(p430,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk27,n2)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p429,c262]) ).

cnf(p431,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk27,n2) ),
    inference(resolution,[status(thm)],[p430,c263]) ).

cnf(p539,plain,
    ( leq(sk27,n2)
    | leq(sk27,n2) ),
    inference(resolution,[status(thm)],[p535,p431]) ).

cnf(p540,plain,
    leq(sk27,n2),
    inference(factoring,[status(thm)],[p539]) ).

cnf(p542,plain,
    ( a_select3(simplex7_init,X0,sk27) = init
    | ~ leq(X0,n3)
    | ~ leq(n0,X0) ),
    inference(resolution,[status(thm)],[p540,p514]) ).

cnf(p548,plain,
    ( a_select3(simplex7_init,sk28,sk27) = init
    | ~ leq(sk28,n3) ),
    inference(resolution,[status(thm)],[p542,p450]) ).

cnf(c276,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p379,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c276]) ).

cnf(p380,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p379,c256]) ).

cnf(p381,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p380,c257]) ).

cnf(p382,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p381,c258]) ).

cnf(p383,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p382,c259]) ).

cnf(p384,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p383,c260]) ).

cnf(p385,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p384,c261]) ).

cnf(p386,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk28,n3)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p385,c262]) ).

cnf(p387,plain,
    ( leq(sk29,minus(pv1376,n1))
    | leq(sk28,n3) ),
    inference(resolution,[status(thm)],[p386,c263]) ).

cnf(p534,plain,
    ( leq(sk28,n3)
    | a_select2(s_values7_init,sk29) = init ),
    inference(resolution,[status(thm)],[p531,p387]) ).

cnf(c277,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p370,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c277]) ).

cnf(p371,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p370,c256]) ).

cnf(p372,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p371,c257]) ).

cnf(p373,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p372,c258]) ).

cnf(p374,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p373,c259]) ).

cnf(p375,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p374,c260]) ).

cnf(p376,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk28,n3)
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p375,c261]) ).

cnf(p377,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk28,n3)
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p376,c262]) ).

cnf(p378,plain,
    ( a_select2(s_values7_init,sk29) != init
    | leq(sk28,n3) ),
    inference(resolution,[status(thm)],[p377,c263]) ).

cnf(p536,plain,
    ( leq(sk28,n3)
    | leq(sk28,n3) ),
    inference(resolution,[status(thm)],[p534,p378]) ).

cnf(p538,plain,
    leq(sk28,n3),
    inference(factoring,[status(thm)],[p536]) ).

cnf(p551,plain,
    a_select3(simplex7_init,sk28,sk27) = init,
    inference(resolution,[status(thm)],[p548,p538]) ).

cnf(c279,plain,
    ( leq(sk29,minus(pv1376,n1))
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p343,plain,
    ( leq(sk29,minus(pv1376,n1))
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c279]) ).

cnf(p344,plain,
    ( leq(sk29,minus(pv1376,n1))
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p343,c256]) ).

cnf(p345,plain,
    ( leq(sk29,minus(pv1376,n1))
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p344,c257]) ).

cnf(p346,plain,
    ( leq(sk29,minus(pv1376,n1))
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p345,c258]) ).

cnf(p347,plain,
    ( leq(sk29,minus(pv1376,n1))
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p346,c259]) ).

cnf(p348,plain,
    ( leq(sk29,minus(pv1376,n1))
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p347,c260]) ).

cnf(p349,plain,
    ( leq(sk29,minus(pv1376,n1))
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p348,c261]) ).

cnf(p350,plain,
    ( leq(sk29,minus(pv1376,n1))
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p349,c262]) ).

cnf(p351,plain,
    ( leq(sk29,minus(pv1376,n1))
    | a_select3(simplex7_init,sk28,sk27) != init ),
    inference(resolution,[status(thm)],[p350,c263]) ).

cnf(p552,plain,
    ( leq(sk29,minus(pv1376,n1))
    | init != init ),
    inference(demodulation,[status(thm)],[p551,p351]) ).

cnf(p554,plain,
    leq(sk29,minus(pv1376,n1)),
    inference(equality_resolution,[status(thm)],[p552]) ).

cnf(p555,plain,
    a_select2(s_values7_init,sk29) = init,
    inference(resolution,[status(thm)],[p554,p531]) ).

cnf(c280,plain,
    ( a_select2(s_values7_init,sk29) != init
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7)
    | init != init ),
    inference(cnf_transformation,[status(esa)],[f52_sk]) ).

cnf(p352,plain,
    ( a_select2(s_values7_init,sk29) != init
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv7) ),
    inference(equality_resolution,[status(thm)],[c280]) ).

cnf(p353,plain,
    ( a_select2(s_values7_init,sk29) != init
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19) ),
    inference(resolution,[status(thm)],[p352,c256]) ).

cnf(p354,plain,
    ( a_select2(s_values7_init,sk29) != init
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20) ),
    inference(resolution,[status(thm)],[p353,c257]) ).

cnf(p355,plain,
    ( a_select2(s_values7_init,sk29) != init
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(n0,pv1376) ),
    inference(resolution,[status(thm)],[p354,c258]) ).

cnf(p356,plain,
    ( a_select2(s_values7_init,sk29) != init
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv7,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p355,c259]) ).

cnf(p357,plain,
    ( a_select2(s_values7_init,sk29) != init
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1)) ),
    inference(resolution,[status(thm)],[p356,c260]) ).

cnf(p358,plain,
    ( a_select2(s_values7_init,sk29) != init
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(resolution,[status(thm)],[p357,c261]) ).

cnf(p359,plain,
    ( a_select2(s_values7_init,sk29) != init
    | a_select3(simplex7_init,sk28,sk27) != init
    | ~ leq(pv1376,n3) ),
    inference(resolution,[status(thm)],[p358,c262]) ).

cnf(p360,plain,
    ( a_select2(s_values7_init,sk29) != init
    | a_select3(simplex7_init,sk28,sk27) != init ),
    inference(resolution,[status(thm)],[p359,c263]) ).

cnf(p553,plain,
    ( a_select2(s_values7_init,sk29) != init
    | init != init ),
    inference(demodulation,[status(thm)],[p551,p360]) ).

cnf(p556,plain,
    ( init != init
    | init != init ),
    inference(demodulation,[status(thm)],[p555,p553]) ).

cnf(p557,plain,
    init != init,
    inference(factoring,[status(thm)],[p556]) ).

cnf(p558,plain,
    $false,
    inference(equality_resolution,[status(thm)],[p557]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV030+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.58  % Computer : n004.cluster.edu
% 0.10/5.58  % Model    : x86_64 x86_64
% 0.10/5.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.58  % Memory   : 8046.5625MB
% 0.10/5.58  % OS       : Linux 6.8.0-71-generic
% 0.10/5.58  % CPULimit : 300
% 0.10/5.58  % WCLimit  : 300
% 0.10/5.58  % DateTime : Thu Sep 24 18:22:41 UTC 2026
% 0.10/5.58  % CPUTime  : 
% 0.10/5.58  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 25.59/9.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.59/9.04  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------