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ConnectPP---0.7.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : SWV027+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 09:02:29 AM UTC 2026

% Result   : Theorem 177.54s 177.88s
% Output   : Proof 177.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    1
% Syntax   : Number of formulae    :  158 (  94 unt;   0 def)
%            Number of atoms       :  961 ( 264 equ)
%            Maximal formula atoms :   93 (   6 avg)
%            Number of connectives : 1205 ( 402   ~; 391   |; 387   &)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   46 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   7 prp; 0-2 aty)
%            Number of functors    :   32 (  32 usr;  29 con; 0-3 aty)
%            Number of variables   :   85 (   0 sgn  60   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_init_0021,conjecture,
    ( ( ( gt(loopcounter,n1)
       => ( pvar1402_init = init
          & pvar1401_init = init
          & pvar1400_init = init ) )
      & ! [E] :
          ( ( leq(E,minus(n3,n1))
            & leq(n0,E) )
         => a_select2(s_try7_init,E) = init )
      & ! [D] :
          ( ( leq(D,n2)
            & leq(n0,D) )
         => a_select2(s_center7_init,D) = init )
      & ! [C] :
          ( ( leq(C,n3)
            & 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(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n0,pv1376)
      & leq(n0,pv20)
      & leq(n0,pv19)
      & leq(n0,s_worst7)
      & leq(n0,s_sworst7)
      & leq(n0,s_best7)
      & s_worst7_init = init
      & s_sworst7_init = init
      & s_best7_init = init
      & init = init )
   => ( ( gt(loopcounter,n1)
       => ( pvar1402_init = init
          & pvar1401_init = init
          & pvar1400_init = init ) )
      & ! [J] :
          ( ( leq(J,minus(n3,n1))
            & leq(n0,J) )
         => a_select2(s_try7_init,J) = init )
      & ! [I] :
          ( ( leq(I,n2)
            & leq(n0,I) )
         => a_select2(s_center7_init,I) = init )
      & ! [H] :
          ( ( leq(H,n3)
            & leq(n0,H) )
         => a_select2(s_values7_init,H) = init )
      & ! [F] :
          ( ( leq(F,n2)
            & leq(n0,F) )
         => ! [G] :
              ( ( leq(G,n3)
                & leq(n0,G) )
             => a_select3(simplex7_init,G,F) = init ) )
      & leq(pv1376,n3)
      & leq(pv20,minus(n330,n1))
      & leq(pv19,minus(n410,n1))
      & leq(s_worst7,n3)
      & leq(s_sworst7,n3)
      & leq(s_best7,n3)
      & leq(n0,pv1376)
      & leq(n0,pv20)
      & leq(n0,pv19)
      & leq(n0,s_worst7)
      & leq(n0,s_sworst7)
      & leq(n0,s_best7)
      & s_worst7_init = init
      & s_sworst7_init = init
      & s_best7_init = init
      & init = init ) ),
    file('theBenchmark.p',gauss_init_0021) ).

fof(f_53_1,negated_conjecture,
    ( ~ ( ( gt(loopcounter,n1)
         => ( pvar1402_init = init
            & pvar1401_init = init
            & pvar1400_init = init ) )
        & ! [J] :
            ( ( leq(J,minus(n3,n1))
              & leq(n0,J) )
           => a_select2(s_try7_init,J) = init )
        & ! [I] :
            ( ( leq(I,n2)
              & leq(n0,I) )
           => a_select2(s_center7_init,I) = init )
        & ! [H] :
            ( ( leq(H,n3)
              & leq(n0,H) )
           => a_select2(s_values7_init,H) = init )
        & ! [F] :
            ( ( leq(F,n2)
              & leq(n0,F) )
           => ! [G] :
                ( ( leq(G,n3)
                  & leq(n0,G) )
               => a_select3(simplex7_init,G,F) = init ) )
        & leq(pv1376,n3)
        & leq(pv20,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(s_worst7,n3)
        & leq(s_sworst7,n3)
        & leq(s_best7,n3)
        & leq(n0,pv1376)
        & leq(n0,pv20)
        & leq(n0,pv19)
        & leq(n0,s_worst7)
        & leq(n0,s_sworst7)
        & leq(n0,s_best7)
        & s_worst7_init = init
        & s_sworst7_init = init
        & s_best7_init = init
        & init = init )
    & ( gt(loopcounter,n1)
     => ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init ) )
    & ! [E] :
        ( ( leq(E,minus(n3,n1))
          & leq(n0,E) )
       => a_select2(s_try7_init,E) = init )
    & ! [D] :
        ( ( leq(D,n2)
          & leq(n0,D) )
       => a_select2(s_center7_init,D) = init )
    & ! [C] :
        ( ( leq(C,n3)
          & 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(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init ),
    inference(negate,[status(cth)],[gauss_init_0021]) ).

fof(f_53_2,negated_conjecture,
    ( ( ( ( pvar1402_init != init
          | pvar1401_init != init
          | pvar1400_init != init )
        & gt(loopcounter,n1) )
      | ? [J] :
          ( a_select2(s_try7_init,J) != init
          & leq(J,minus(n3,n1))
          & leq(n0,J) )
      | ? [I] :
          ( a_select2(s_center7_init,I) != init
          & leq(I,n2)
          & leq(n0,I) )
      | ? [H] :
          ( a_select2(s_values7_init,H) != init
          & leq(H,n3)
          & leq(n0,H) )
      | ? [F] :
          ( ? [G] :
              ( a_select3(simplex7_init,G,F) != init
              & leq(G,n3)
              & leq(n0,G) )
          & leq(F,n2)
          & leq(n0,F) )
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | s_worst7_init != init
      | s_sworst7_init != init
      | s_best7_init != init
      | init != init )
    & ( ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init )
      | ~ gt(loopcounter,n1) )
    & ! [E] :
        ( a_select2(s_try7_init,E) = init
        | ~ leq(E,minus(n3,n1))
        | ~ leq(n0,E) )
    & ! [D] :
        ( a_select2(s_center7_init,D) = init
        | ~ leq(D,n2)
        | ~ leq(n0,D) )
    & ! [C] :
        ( a_select2(s_values7_init,C) = init
        | ~ leq(C,n3)
        | ~ 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(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init ),
    inference(fof_nnf,[status(thm)],[f_53_1]) ).

fof(f_53_3,negated_conjecture,
    ( ( ( ( pvar1402_init != init
          | pvar1401_init != init
          | pvar1400_init != init )
        & gt(loopcounter,n1) )
      | ? [U_191] :
          ( a_select2(s_try7_init,U_191) != init
          & leq(U_191,minus(n3,n1))
          & leq(n0,U_191) )
      | ? [U_190] :
          ( a_select2(s_center7_init,U_190) != init
          & leq(U_190,n2)
          & leq(n0,U_190) )
      | ? [U_189] :
          ( a_select2(s_values7_init,U_189) != init
          & leq(U_189,n3)
          & leq(n0,U_189) )
      | ? [U_188] :
          ( ? [U_187] :
              ( a_select3(simplex7_init,U_187,U_188) != init
              & leq(U_187,n3)
              & leq(n0,U_187) )
          & leq(U_188,n2)
          & leq(n0,U_188) )
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | s_worst7_init != init
      | s_sworst7_init != init
      | s_best7_init != init
      | init != init )
    & ( ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init )
      | ~ gt(loopcounter,n1) )
    & ! [U_186] :
        ( a_select2(s_try7_init,U_186) = init
        | ~ leq(U_186,minus(n3,n1))
        | ~ leq(n0,U_186) )
    & ! [U_185] :
        ( a_select2(s_center7_init,U_185) = init
        | ~ leq(U_185,n2)
        | ~ leq(n0,U_185) )
    & ! [U_184] :
        ( a_select2(s_values7_init,U_184) = init
        | ~ leq(U_184,n3)
        | ~ leq(n0,U_184) )
    & ! [U_183] :
        ( ! [U_182] :
            ( a_select3(simplex7_init,U_182,U_183) = init
            | ~ leq(U_182,n3)
            | ~ leq(n0,U_182) )
        | ~ leq(U_183,n2)
        | ~ leq(n0,U_183) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init ),
    inference(variable_rename,[status(thm)],[f_53_2]) ).

fof(f_53_4,negated_conjecture,
    ( ( ( ( pvar1402_init != init
          | pvar1401_init != init
          | pvar1400_init != init )
        & gt(loopcounter,n1) )
      | ? [U_191] :
          ( a_select2(s_try7_init,U_191) != init
          & leq(U_191,minus(n3,n1))
          & leq(n0,U_191) )
      | ? [U_190] :
          ( a_select2(s_center7_init,U_190) != init
          & leq(U_190,n2)
          & leq(n0,U_190) )
      | ? [U_189] :
          ( a_select2(s_values7_init,U_189) != init
          & leq(U_189,n3)
          & leq(n0,U_189) )
      | ( ? [U_187] :
            ( a_select3(simplex7_init,U_187,sK28) != init
            & leq(U_187,n3)
            & leq(n0,U_187) )
        & leq(sK28,n2)
        & leq(n0,sK28) )
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | s_worst7_init != init
      | s_sworst7_init != init
      | s_best7_init != init
      | init != init )
    & ( ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init )
      | ~ gt(loopcounter,n1) )
    & ! [U_186] :
        ( a_select2(s_try7_init,U_186) = init
        | ~ leq(U_186,minus(n3,n1))
        | ~ leq(n0,U_186) )
    & ! [U_185] :
        ( a_select2(s_center7_init,U_185) = init
        | ~ leq(U_185,n2)
        | ~ leq(n0,U_185) )
    & ! [U_184] :
        ( a_select2(s_values7_init,U_184) = init
        | ~ leq(U_184,n3)
        | ~ leq(n0,U_184) )
    & ! [U_183] :
        ( ! [U_182] :
            ( a_select3(simplex7_init,U_182,U_183) = init
            | ~ leq(U_182,n3)
            | ~ leq(n0,U_182) )
        | ~ leq(U_183,n2)
        | ~ leq(n0,U_183) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_188,sK28)],[f_53_3]) ).

fof(f_53_5,negated_conjecture,
    ( ( ( ( pvar1402_init != init
          | pvar1401_init != init
          | pvar1400_init != init )
        & gt(loopcounter,n1) )
      | ? [U_191] :
          ( a_select2(s_try7_init,U_191) != init
          & leq(U_191,minus(n3,n1))
          & leq(n0,U_191) )
      | ? [U_190] :
          ( a_select2(s_center7_init,U_190) != init
          & leq(U_190,n2)
          & leq(n0,U_190) )
      | ? [U_189] :
          ( a_select2(s_values7_init,U_189) != init
          & leq(U_189,n3)
          & leq(n0,U_189) )
      | ( a_select3(simplex7_init,sK29,sK28) != init
        & leq(sK29,n3)
        & leq(n0,sK29)
        & leq(sK28,n2)
        & leq(n0,sK28) )
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | s_worst7_init != init
      | s_sworst7_init != init
      | s_best7_init != init
      | init != init )
    & ( ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init )
      | ~ gt(loopcounter,n1) )
    & ! [U_186] :
        ( a_select2(s_try7_init,U_186) = init
        | ~ leq(U_186,minus(n3,n1))
        | ~ leq(n0,U_186) )
    & ! [U_185] :
        ( a_select2(s_center7_init,U_185) = init
        | ~ leq(U_185,n2)
        | ~ leq(n0,U_185) )
    & ! [U_184] :
        ( a_select2(s_values7_init,U_184) = init
        | ~ leq(U_184,n3)
        | ~ leq(n0,U_184) )
    & ! [U_183] :
        ( ! [U_182] :
            ( a_select3(simplex7_init,U_182,U_183) = init
            | ~ leq(U_182,n3)
            | ~ leq(n0,U_182) )
        | ~ leq(U_183,n2)
        | ~ leq(n0,U_183) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_187,sK29)],[f_53_4]) ).

fof(f_53_6,negated_conjecture,
    ( ( ( ( pvar1402_init != init
          | pvar1401_init != init
          | pvar1400_init != init )
        & gt(loopcounter,n1) )
      | ? [U_191] :
          ( a_select2(s_try7_init,U_191) != init
          & leq(U_191,minus(n3,n1))
          & leq(n0,U_191) )
      | ? [U_190] :
          ( a_select2(s_center7_init,U_190) != init
          & leq(U_190,n2)
          & leq(n0,U_190) )
      | ( a_select2(s_values7_init,sK30) != init
        & leq(sK30,n3)
        & leq(n0,sK30) )
      | ( a_select3(simplex7_init,sK29,sK28) != init
        & leq(sK29,n3)
        & leq(n0,sK29)
        & leq(sK28,n2)
        & leq(n0,sK28) )
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | s_worst7_init != init
      | s_sworst7_init != init
      | s_best7_init != init
      | init != init )
    & ( ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init )
      | ~ gt(loopcounter,n1) )
    & ! [U_186] :
        ( a_select2(s_try7_init,U_186) = init
        | ~ leq(U_186,minus(n3,n1))
        | ~ leq(n0,U_186) )
    & ! [U_185] :
        ( a_select2(s_center7_init,U_185) = init
        | ~ leq(U_185,n2)
        | ~ leq(n0,U_185) )
    & ! [U_184] :
        ( a_select2(s_values7_init,U_184) = init
        | ~ leq(U_184,n3)
        | ~ leq(n0,U_184) )
    & ! [U_183] :
        ( ! [U_182] :
            ( a_select3(simplex7_init,U_182,U_183) = init
            | ~ leq(U_182,n3)
            | ~ leq(n0,U_182) )
        | ~ leq(U_183,n2)
        | ~ leq(n0,U_183) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_189,sK30)],[f_53_5]) ).

fof(f_53_7,negated_conjecture,
    ( ( ( ( pvar1402_init != init
          | pvar1401_init != init
          | pvar1400_init != init )
        & gt(loopcounter,n1) )
      | ? [U_191] :
          ( a_select2(s_try7_init,U_191) != init
          & leq(U_191,minus(n3,n1))
          & leq(n0,U_191) )
      | ( a_select2(s_center7_init,sK31) != init
        & leq(sK31,n2)
        & leq(n0,sK31) )
      | ( a_select2(s_values7_init,sK30) != init
        & leq(sK30,n3)
        & leq(n0,sK30) )
      | ( a_select3(simplex7_init,sK29,sK28) != init
        & leq(sK29,n3)
        & leq(n0,sK29)
        & leq(sK28,n2)
        & leq(n0,sK28) )
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | s_worst7_init != init
      | s_sworst7_init != init
      | s_best7_init != init
      | init != init )
    & ( ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init )
      | ~ gt(loopcounter,n1) )
    & ! [U_186] :
        ( a_select2(s_try7_init,U_186) = init
        | ~ leq(U_186,minus(n3,n1))
        | ~ leq(n0,U_186) )
    & ! [U_185] :
        ( a_select2(s_center7_init,U_185) = init
        | ~ leq(U_185,n2)
        | ~ leq(n0,U_185) )
    & ! [U_184] :
        ( a_select2(s_values7_init,U_184) = init
        | ~ leq(U_184,n3)
        | ~ leq(n0,U_184) )
    & ! [U_183] :
        ( ! [U_182] :
            ( a_select3(simplex7_init,U_182,U_183) = init
            | ~ leq(U_182,n3)
            | ~ leq(n0,U_182) )
        | ~ leq(U_183,n2)
        | ~ leq(n0,U_183) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_190,sK31)],[f_53_6]) ).

fof(f_53_8,negated_conjecture,
    ( ( ( ( pvar1402_init != init
          | pvar1401_init != init
          | pvar1400_init != init )
        & gt(loopcounter,n1) )
      | ( a_select2(s_try7_init,sK32) != init
        & leq(sK32,minus(n3,n1))
        & leq(n0,sK32) )
      | ( a_select2(s_center7_init,sK31) != init
        & leq(sK31,n2)
        & leq(n0,sK31) )
      | ( a_select2(s_values7_init,sK30) != init
        & leq(sK30,n3)
        & leq(n0,sK30) )
      | ( a_select3(simplex7_init,sK29,sK28) != init
        & leq(sK29,n3)
        & leq(n0,sK29)
        & leq(sK28,n2)
        & leq(n0,sK28) )
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | s_worst7_init != init
      | s_sworst7_init != init
      | s_best7_init != init
      | init != init )
    & ( ( pvar1402_init = init
        & pvar1401_init = init
        & pvar1400_init = init )
      | ~ gt(loopcounter,n1) )
    & ! [U_186] :
        ( a_select2(s_try7_init,U_186) = init
        | ~ leq(U_186,minus(n3,n1))
        | ~ leq(n0,U_186) )
    & ! [U_185] :
        ( a_select2(s_center7_init,U_185) = init
        | ~ leq(U_185,n2)
        | ~ leq(n0,U_185) )
    & ! [U_184] :
        ( a_select2(s_values7_init,U_184) = init
        | ~ leq(U_184,n3)
        | ~ leq(n0,U_184) )
    & ! [U_183] :
        ( ! [U_182] :
            ( a_select3(simplex7_init,U_182,U_183) = init
            | ~ leq(U_182,n3)
            | ~ leq(n0,U_182) )
        | ~ leq(U_183,n2)
        | ~ leq(n0,U_183) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_191,sK32)],[f_53_7]) ).

fof(f_53_9,negated_conjecture,
    ( ( pvar1402_init != init
      | pvar1401_init != init
      | pvar1400_init != init
      | ~ sP19 )
    & ( gt(loopcounter,n1)
      | ~ sP19 )
    & ( a_select2(s_try7_init,sK32) != init
      | ~ sP18 )
    & ( leq(sK32,minus(n3,n1))
      | ~ sP18 )
    & ( leq(n0,sK32)
      | ~ sP18 )
    & ( a_select2(s_center7_init,sK31) != init
      | ~ sP17 )
    & ( leq(sK31,n2)
      | ~ sP17 )
    & ( leq(n0,sK31)
      | ~ sP17 )
    & ( a_select2(s_values7_init,sK30) != init
      | ~ sP16 )
    & ( leq(sK30,n3)
      | ~ sP16 )
    & ( leq(n0,sK30)
      | ~ sP16 )
    & ( a_select3(simplex7_init,sK29,sK28) != init
      | ~ sP15 )
    & ( leq(sK29,n3)
      | ~ sP15 )
    & ( leq(n0,sK29)
      | ~ sP15 )
    & ( leq(sK28,n2)
      | ~ sP15 )
    & ( leq(n0,sK28)
      | ~ sP15 )
    & ( pvar1402_init = init
      | ~ sP14 )
    & ( pvar1401_init = init
      | ~ sP14 )
    & ( pvar1400_init = init
      | ~ sP14 )
    & ( sP19
      | sP18
      | sP17
      | sP16
      | sP15
      | ~ leq(pv1376,n3)
      | ~ leq(pv20,minus(n330,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(s_worst7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_best7,n3)
      | ~ leq(n0,pv1376)
      | ~ leq(n0,pv20)
      | ~ leq(n0,pv19)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_best7)
      | s_worst7_init != init
      | s_sworst7_init != init
      | s_best7_init != init
      | init != init )
    & ( sP14
      | ~ gt(loopcounter,n1) )
    & ! [U_186] :
        ( a_select2(s_try7_init,U_186) = init
        | ~ leq(U_186,minus(n3,n1))
        | ~ leq(n0,U_186) )
    & ! [U_185] :
        ( a_select2(s_center7_init,U_185) = init
        | ~ leq(U_185,n2)
        | ~ leq(n0,U_185) )
    & ! [U_184] :
        ( a_select2(s_values7_init,U_184) = init
        | ~ leq(U_184,n3)
        | ~ leq(n0,U_184) )
    & ! [U_182,U_183] :
        ( a_select3(simplex7_init,U_182,U_183) = init
        | ~ leq(U_182,n3)
        | ~ leq(n0,U_182)
        | ~ leq(U_183,n2)
        | ~ leq(n0,U_183) )
    & leq(pv1376,n3)
    & leq(pv20,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(s_worst7,n3)
    & leq(s_sworst7,n3)
    & leq(s_best7,n3)
    & leq(n0,pv1376)
    & leq(n0,pv20)
    & leq(n0,pv19)
    & leq(n0,s_worst7)
    & leq(n0,s_sworst7)
    & leq(n0,s_best7)
    & s_worst7_init = init
    & s_sworst7_init = init
    & s_best7_init = init
    & init = init ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP14,sP15,sP16,sP17,sP18,sP19])],[f_53_8]) ).

cnf(f_53_10,negated_conjecture,
    init = init,
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_11,negated_conjecture,
    s_best7_init = init,
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_12,negated_conjecture,
    s_sworst7_init = init,
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_13,negated_conjecture,
    s_worst7_init = init,
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_14,negated_conjecture,
    leq(n0,s_best7),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_15,negated_conjecture,
    leq(n0,s_sworst7),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_16,negated_conjecture,
    leq(n0,s_worst7),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_17,negated_conjecture,
    leq(n0,pv19),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_18,negated_conjecture,
    leq(n0,pv20),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_19,negated_conjecture,
    leq(n0,pv1376),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_20,negated_conjecture,
    leq(s_best7,n3),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_21,negated_conjecture,
    leq(s_sworst7,n3),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_22,negated_conjecture,
    leq(s_worst7,n3),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_23,negated_conjecture,
    leq(pv19,minus(n410,n1)),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_24,negated_conjecture,
    leq(pv20,minus(n330,n1)),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_25,negated_conjecture,
    leq(pv1376,n3),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_26,negated_conjecture,
    ( a_select3(simplex7_init,U_182,U_183) = init
    | ~ leq(U_182,n3)
    | ~ leq(n0,U_182)
    | ~ leq(U_183,n2)
    | ~ leq(n0,U_183) ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_27,negated_conjecture,
    ( a_select2(s_values7_init,U_184) = init
    | ~ leq(U_184,n3)
    | ~ leq(n0,U_184) ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_28,negated_conjecture,
    ( a_select2(s_center7_init,U_185) = init
    | ~ leq(U_185,n2)
    | ~ leq(n0,U_185) ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_29,negated_conjecture,
    ( a_select2(s_try7_init,U_186) = init
    | ~ leq(U_186,minus(n3,n1))
    | ~ leq(n0,U_186) ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_30,negated_conjecture,
    ( sP14
    | ~ gt(loopcounter,n1) ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_31,negated_conjecture,
    ( sP19
    | sP18
    | sP17
    | sP16
    | sP15
    | ~ leq(pv1376,n3)
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(s_worst7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_best7,n3)
    | ~ leq(n0,pv1376)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv19)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_best7)
    | s_worst7_init != init
    | s_sworst7_init != init
    | s_best7_init != init
    | init != init ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_32,negated_conjecture,
    ( pvar1400_init = init
    | ~ sP14 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_33,negated_conjecture,
    ( pvar1401_init = init
    | ~ sP14 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_34,negated_conjecture,
    ( pvar1402_init = init
    | ~ sP14 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_35,negated_conjecture,
    ( leq(n0,sK28)
    | ~ sP15 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_36,negated_conjecture,
    ( leq(sK28,n2)
    | ~ sP15 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_37,negated_conjecture,
    ( leq(n0,sK29)
    | ~ sP15 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_38,negated_conjecture,
    ( leq(sK29,n3)
    | ~ sP15 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_39,negated_conjecture,
    ( a_select3(simplex7_init,sK29,sK28) != init
    | ~ sP15 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_40,negated_conjecture,
    ( leq(n0,sK30)
    | ~ sP16 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_41,negated_conjecture,
    ( leq(sK30,n3)
    | ~ sP16 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_42,negated_conjecture,
    ( a_select2(s_values7_init,sK30) != init
    | ~ sP16 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_43,negated_conjecture,
    ( leq(n0,sK31)
    | ~ sP17 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_44,negated_conjecture,
    ( leq(sK31,n2)
    | ~ sP17 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_45,negated_conjecture,
    ( a_select2(s_center7_init,sK31) != init
    | ~ sP17 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_46,negated_conjecture,
    ( leq(n0,sK32)
    | ~ sP18 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_47,negated_conjecture,
    ( leq(sK32,minus(n3,n1))
    | ~ sP18 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_48,negated_conjecture,
    ( a_select2(s_try7_init,sK32) != init
    | ~ sP18 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_49,negated_conjecture,
    ( gt(loopcounter,n1)
    | ~ sP19 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(f_53_50,negated_conjecture,
    ( pvar1402_init != init
    | pvar1401_init != init
    | pvar1400_init != init
    | ~ sP19 ),
    inference(clausify,[status(thm)],[f_53_9]) ).

cnf(t1,plain,
    ( a_select3(simplex7_init,sK29,sK28) != init
    | ~ sP15 ),
    inference(start,[status(thm),parent(0:0)],[f_53_39]) ).

cnf(t2,plain,
    ( s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3)
    | sP19
    | sP16
    | sP17
    | sP18
    | init != init
    | sP15 ),
    inference(extension,[status(thm),parent(t1:1)],[f_53_31]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    init = init,
    inference(extension,[status(thm),parent(t2:2)],[f_53_10]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    ( a_select2(s_try7_init,sK32) != init
    | ~ sP18 ),
    inference(extension,[status(thm),parent(t2:3)],[f_53_48]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).

cnf(t8,plain,
    ( ~ leq(sK32,minus(n3,n1))
    | ~ leq(n0,sK32)
    | a_select2(s_try7_init,sK32) = init ),
    inference(extension,[status(thm),parent(t6:2)],[f_53_29]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).

cnf(t10,plain,
    ( ~ sP18
    | leq(n0,sK32) ),
    inference(extension,[status(thm),parent(t8:2)],[f_53_46]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    $false,
    inference(reduction,[status(thm),parent(t10:2)],[t10:2,t2:3]) ).

cnf(t13,plain,
    ( ~ sP18
    | leq(sK32,minus(n3,n1)) ),
    inference(extension,[status(thm),parent(t8:3)],[f_53_47]) ).

cnf(t14,plain,
    $false,
    inference(connection,[status(thm),parent(t13:1)],[t13:1,t8:3]) ).

cnf(t15,plain,
    $false,
    inference(reduction,[status(thm),parent(t13:2)],[t13:2,t2:3]) ).

cnf(t16,plain,
    ( a_select2(s_center7_init,sK31) != init
    | ~ sP17 ),
    inference(extension,[status(thm),parent(t2:4)],[f_53_45]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:4]) ).

cnf(t18,plain,
    ( ~ leq(sK31,n2)
    | ~ leq(n0,sK31)
    | a_select2(s_center7_init,sK31) = init ),
    inference(extension,[status(thm),parent(t16:2)],[f_53_28]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).

cnf(t20,plain,
    ( ~ sP17
    | leq(n0,sK31) ),
    inference(extension,[status(thm),parent(t18:2)],[f_53_43]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).

cnf(t22,plain,
    $false,
    inference(reduction,[status(thm),parent(t20:2)],[t20:2,t2:4]) ).

cnf(t23,plain,
    ( ~ sP17
    | leq(sK31,n2) ),
    inference(extension,[status(thm),parent(t18:3)],[f_53_44]) ).

cnf(t24,plain,
    $false,
    inference(connection,[status(thm),parent(t23:1)],[t23:1,t18:3]) ).

cnf(t25,plain,
    $false,
    inference(reduction,[status(thm),parent(t23:2)],[t23:2,t2:4]) ).

cnf(t26,plain,
    ( a_select2(s_values7_init,sK30) != init
    | ~ sP16 ),
    inference(extension,[status(thm),parent(t2:5)],[f_53_42]) ).

cnf(t27,plain,
    $false,
    inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:5]) ).

cnf(t28,plain,
    ( ~ leq(sK30,n3)
    | ~ leq(n0,sK30)
    | a_select2(s_values7_init,sK30) = init ),
    inference(extension,[status(thm),parent(t26:2)],[f_53_27]) ).

cnf(t29,plain,
    $false,
    inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).

cnf(t30,plain,
    ( ~ sP16
    | leq(n0,sK30) ),
    inference(extension,[status(thm),parent(t28:2)],[f_53_40]) ).

cnf(t31,plain,
    $false,
    inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).

cnf(t32,plain,
    $false,
    inference(reduction,[status(thm),parent(t30:2)],[t30:2,t2:5]) ).

cnf(t33,plain,
    ( ~ sP16
    | leq(sK30,n3) ),
    inference(extension,[status(thm),parent(t28:3)],[f_53_41]) ).

cnf(t34,plain,
    $false,
    inference(connection,[status(thm),parent(t33:1)],[t33:1,t28:3]) ).

cnf(t35,plain,
    $false,
    inference(reduction,[status(thm),parent(t33:2)],[t33:2,t2:5]) ).

cnf(t36,plain,
    ( pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init
    | ~ sP19 ),
    inference(extension,[status(thm),parent(t2:6)],[f_53_50]) ).

cnf(t37,plain,
    $false,
    inference(connection,[status(thm),parent(t36:1)],[t36:1,t2:6]) ).

cnf(t38,plain,
    ( ~ sP14
    | pvar1402_init = init ),
    inference(extension,[status(thm),parent(t36:2)],[f_53_34]) ).

cnf(t39,plain,
    $false,
    inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).

cnf(t40,plain,
    ( ~ gt(loopcounter,n1)
    | sP14 ),
    inference(extension,[status(thm),parent(t38:2)],[f_53_30]) ).

cnf(t41,plain,
    $false,
    inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).

cnf(t42,plain,
    ( ~ sP19
    | gt(loopcounter,n1) ),
    inference(extension,[status(thm),parent(t40:2)],[f_53_49]) ).

cnf(t43,plain,
    $false,
    inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).

cnf(t44,plain,
    $false,
    inference(reduction,[status(thm),parent(t42:2)],[t42:2,t2:6]) ).

cnf(t45,plain,
    ( ~ sP14
    | pvar1401_init = init ),
    inference(extension,[status(thm),parent(t36:3)],[f_53_33]) ).

cnf(t46,plain,
    $false,
    inference(connection,[status(thm),parent(t45:1)],[t45:1,t36:3]) ).

cnf(t47,plain,
    ( ~ gt(loopcounter,n1)
    | sP14 ),
    inference(extension,[status(thm),parent(t45:2)],[f_53_30]) ).

cnf(t48,plain,
    $false,
    inference(connection,[status(thm),parent(t47:1)],[t47:1,t45:2]) ).

cnf(t49,plain,
    ( ~ sP19
    | gt(loopcounter,n1) ),
    inference(extension,[status(thm),parent(t47:2)],[f_53_49]) ).

cnf(t50,plain,
    $false,
    inference(connection,[status(thm),parent(t49:1)],[t49:1,t47:2]) ).

cnf(t51,plain,
    $false,
    inference(reduction,[status(thm),parent(t49:2)],[t49:2,t2:6]) ).

cnf(t52,plain,
    ( ~ sP14
    | pvar1400_init = init ),
    inference(extension,[status(thm),parent(t36:4)],[f_53_32]) ).

cnf(t53,plain,
    $false,
    inference(connection,[status(thm),parent(t52:1)],[t52:1,t36:4]) ).

cnf(t54,plain,
    ( ~ gt(loopcounter,n1)
    | sP14 ),
    inference(extension,[status(thm),parent(t52:2)],[f_53_30]) ).

cnf(t55,plain,
    $false,
    inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).

cnf(t56,plain,
    ( ~ sP19
    | gt(loopcounter,n1) ),
    inference(extension,[status(thm),parent(t54:2)],[f_53_49]) ).

cnf(t57,plain,
    $false,
    inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).

cnf(t58,plain,
    $false,
    inference(reduction,[status(thm),parent(t56:2)],[t56:2,t2:6]) ).

cnf(t59,plain,
    leq(pv1376,n3),
    inference(extension,[status(thm),parent(t2:7)],[f_53_25]) ).

cnf(t60,plain,
    $false,
    inference(connection,[status(thm),parent(t59:1)],[t59:1,t2:7]) ).

cnf(t61,plain,
    leq(pv20,minus(n330,n1)),
    inference(extension,[status(thm),parent(t2:8)],[f_53_24]) ).

cnf(t62,plain,
    $false,
    inference(connection,[status(thm),parent(t61:1)],[t61:1,t2:8]) ).

cnf(t63,plain,
    leq(pv19,minus(n410,n1)),
    inference(extension,[status(thm),parent(t2:9)],[f_53_23]) ).

cnf(t64,plain,
    $false,
    inference(connection,[status(thm),parent(t63:1)],[t63:1,t2:9]) ).

cnf(t65,plain,
    leq(s_worst7,n3),
    inference(extension,[status(thm),parent(t2:10)],[f_53_22]) ).

cnf(t66,plain,
    $false,
    inference(connection,[status(thm),parent(t65:1)],[t65:1,t2:10]) ).

cnf(t67,plain,
    leq(s_sworst7,n3),
    inference(extension,[status(thm),parent(t2:11)],[f_53_21]) ).

cnf(t68,plain,
    $false,
    inference(connection,[status(thm),parent(t67:1)],[t67:1,t2:11]) ).

cnf(t69,plain,
    leq(s_best7,n3),
    inference(extension,[status(thm),parent(t2:12)],[f_53_20]) ).

cnf(t70,plain,
    $false,
    inference(connection,[status(thm),parent(t69:1)],[t69:1,t2:12]) ).

cnf(t71,plain,
    leq(n0,pv1376),
    inference(extension,[status(thm),parent(t2:13)],[f_53_19]) ).

cnf(t72,plain,
    $false,
    inference(connection,[status(thm),parent(t71:1)],[t71:1,t2:13]) ).

cnf(t73,plain,
    leq(n0,pv20),
    inference(extension,[status(thm),parent(t2:14)],[f_53_18]) ).

cnf(t74,plain,
    $false,
    inference(connection,[status(thm),parent(t73:1)],[t73:1,t2:14]) ).

cnf(t75,plain,
    leq(n0,pv19),
    inference(extension,[status(thm),parent(t2:15)],[f_53_17]) ).

cnf(t76,plain,
    $false,
    inference(connection,[status(thm),parent(t75:1)],[t75:1,t2:15]) ).

cnf(t77,plain,
    leq(n0,s_worst7),
    inference(extension,[status(thm),parent(t2:16)],[f_53_16]) ).

cnf(t78,plain,
    $false,
    inference(connection,[status(thm),parent(t77:1)],[t77:1,t2:16]) ).

cnf(t79,plain,
    leq(n0,s_sworst7),
    inference(extension,[status(thm),parent(t2:17)],[f_53_15]) ).

cnf(t80,plain,
    $false,
    inference(connection,[status(thm),parent(t79:1)],[t79:1,t2:17]) ).

cnf(t81,plain,
    leq(n0,s_best7),
    inference(extension,[status(thm),parent(t2:18)],[f_53_14]) ).

cnf(t82,plain,
    $false,
    inference(connection,[status(thm),parent(t81:1)],[t81:1,t2:18]) ).

cnf(t83,plain,
    s_worst7_init = init,
    inference(extension,[status(thm),parent(t2:19)],[f_53_13]) ).

cnf(t84,plain,
    $false,
    inference(connection,[status(thm),parent(t83:1)],[t83:1,t2:19]) ).

cnf(t85,plain,
    s_sworst7_init = init,
    inference(extension,[status(thm),parent(t2:20)],[f_53_12]) ).

cnf(t86,plain,
    $false,
    inference(connection,[status(thm),parent(t85:1)],[t85:1,t2:20]) ).

cnf(t87,plain,
    s_best7_init = init,
    inference(extension,[status(thm),parent(t2:21)],[f_53_11]) ).

cnf(t88,plain,
    $false,
    inference(connection,[status(thm),parent(t87:1)],[t87:1,t2:21]) ).

cnf(l1,lemma,
    sP15,
    inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).

cnf(t89,plain,
    ( ~ leq(sK28,n2)
    | ~ leq(n0,sK29)
    | ~ leq(sK29,n3)
    | ~ leq(n0,sK28)
    | a_select3(simplex7_init,sK29,sK28) = init ),
    inference(extension,[status(thm),parent(t1:2)],[f_53_26]) ).

cnf(t90,plain,
    $false,
    inference(connection,[status(thm),parent(t89:1)],[t89:1,t1:2]) ).

cnf(t91,plain,
    ( ~ sP15
    | leq(n0,sK28) ),
    inference(extension,[status(thm),parent(t89:2)],[f_53_35]) ).

cnf(t92,plain,
    $false,
    inference(connection,[status(thm),parent(t91:1)],[t91:1,t89:2]) ).

cnf(t93,plain,
    sP15,
    inference(lemma_extension,[status(thm),parent(t91:2)],[l1:1]) ).

cnf(t94,plain,
    $false,
    inference(connection,[status(thm),parent(t93:1)],[t93:1,t91:2]) ).

cnf(t95,plain,
    ( ~ sP15
    | leq(sK29,n3) ),
    inference(extension,[status(thm),parent(t89:3)],[f_53_38]) ).

cnf(t96,plain,
    $false,
    inference(connection,[status(thm),parent(t95:1)],[t95:1,t89:3]) ).

cnf(t97,plain,
    sP15,
    inference(lemma_extension,[status(thm),parent(t95:2)],[l1:1]) ).

cnf(t98,plain,
    $false,
    inference(connection,[status(thm),parent(t97:1)],[t97:1,t95:2]) ).

cnf(t99,plain,
    ( ~ sP15
    | leq(n0,sK29) ),
    inference(extension,[status(thm),parent(t89:4)],[f_53_37]) ).

cnf(t100,plain,
    $false,
    inference(connection,[status(thm),parent(t99:1)],[t99:1,t89:4]) ).

cnf(t101,plain,
    sP15,
    inference(lemma_extension,[status(thm),parent(t99:2)],[l1:1]) ).

cnf(t102,plain,
    $false,
    inference(connection,[status(thm),parent(t101:1)],[t101:1,t99:2]) ).

cnf(t103,plain,
    ( ~ sP15
    | leq(sK28,n2) ),
    inference(extension,[status(thm),parent(t89:5)],[f_53_36]) ).

cnf(t104,plain,
    $false,
    inference(connection,[status(thm),parent(t103:1)],[t103:1,t89:5]) ).

cnf(t105,plain,
    sP15,
    inference(lemma_extension,[status(thm),parent(t103:2)],[l1:1]) ).

cnf(t106,plain,
    $false,
    inference(connection,[status(thm),parent(t105:1)],[t105:1,t103:2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV027+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04  This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n008.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 20 02:59:54 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 177.54/177.88  % SZS status Theorem for theBenchmark
% 177.54/177.88  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------