TSTP Solution File: SWV024+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV024+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:40:29 EDT 2023

% Result   : Theorem 57.71s 7.70s
% Output   : CNFRefutation 58.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  221 (  62 unt;   0 def)
%            Number of atoms       :  859 ( 183 equ)
%            Maximal formula atoms :   73 (   3 avg)
%            Number of connectives :  969 ( 331   ~; 341   |; 232   &)
%                                         (  34 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   51 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   41 (  39 usr;  34 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  29 con; 0-3 aty)
%            Number of variables   :  111 (; 100   !;  11   ?)

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

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

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

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

fof(f53,conjecture,
    ( ( init = init
      & 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,pv7)
      & leq(n0,pv8)
      & leq(n0,pv19)
      & leq(n0,pv20)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & leq(pv7,minus(n410,n1))
      & leq(pv8,minus(n330,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv20,minus(n330,n1))
      & ! [A] :
          ( ( leq(n0,A)
            & leq(A,n2) )
         => ! [B] :
              ( ( leq(n0,B)
                & leq(B,n3) )
             => a_select3(simplex7_init,B,A) = init ) )
      & ! [C] :
          ( ( leq(n0,C)
            & leq(C,n3) )
         => a_select2(s_values7_init,C) = init )
      & ! [D] :
          ( ( leq(n0,D)
            & leq(D,n2) )
         => a_select2(s_center7_init,D) = init )
      & ! [E] :
          ( ( leq(n0,E)
            & leq(E,minus(n3,n1)) )
         => a_select2(s_try7_init,E) = init )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) )
   => ( init = init
      & s_best7_init = init
      & s_sworst7_init = init
      & s_worst7_init = init
      & a_select2(s_try7_init,n0) = init
      & a_select2(s_try7_init,n1) = init
      & a_select2(s_try7_init,n2) = init
      & leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(n0,s_worst7)
      & leq(n0,pv7)
      & leq(n0,pv19)
      & leq(n0,pv20)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & leq(pv7,minus(n410,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv20,minus(n330,n1))
      & ! [F] :
          ( ( leq(n0,F)
            & leq(F,n2) )
         => ! [G] :
              ( ( leq(n0,G)
                & leq(G,n3) )
             => a_select3(simplex7_init,G,F) = init ) )
      & ! [H] :
          ( ( leq(n0,H)
            & leq(H,n3) )
         => a_select2(s_values7_init,H) = init )
      & ! [I] :
          ( ( leq(n0,I)
            & leq(I,n2) )
         => a_select2(s_center7_init,I) = init )
      & ! [J] :
          ( ( leq(n0,J)
            & leq(J,minus(n3,n1)) )
         => a_select2(s_try7_init,J) = init )
      & ( gt(loopcounter,n1)
       => ( pvar1400_init = init
          & pvar1401_init = init
          & pvar1402_init = init ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    ~ ( ( init = init
        & 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,pv7)
        & leq(n0,pv8)
        & leq(n0,pv19)
        & leq(n0,pv20)
        & leq(s_best7,n3)
        & leq(s_sworst7,n3)
        & leq(s_worst7,n3)
        & leq(pv7,minus(n410,n1))
        & leq(pv8,minus(n330,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv20,minus(n330,n1))
        & ! [A] :
            ( ( leq(n0,A)
              & leq(A,n2) )
           => ! [B] :
                ( ( leq(n0,B)
                  & leq(B,n3) )
               => a_select3(simplex7_init,B,A) = init ) )
        & ! [C] :
            ( ( leq(n0,C)
              & leq(C,n3) )
           => a_select2(s_values7_init,C) = init )
        & ! [D] :
            ( ( leq(n0,D)
              & leq(D,n2) )
           => a_select2(s_center7_init,D) = init )
        & ! [E] :
            ( ( leq(n0,E)
              & leq(E,minus(n3,n1)) )
           => a_select2(s_try7_init,E) = init )
        & ( gt(loopcounter,n1)
         => ( pvar1400_init = init
            & pvar1401_init = init
            & pvar1402_init = init ) ) )
     => ( init = init
        & s_best7_init = init
        & s_sworst7_init = init
        & s_worst7_init = init
        & a_select2(s_try7_init,n0) = init
        & a_select2(s_try7_init,n1) = init
        & a_select2(s_try7_init,n2) = init
        & leq(n0,s_best7)
        & leq(n0,s_sworst7)
        & leq(n0,s_worst7)
        & leq(n0,pv7)
        & leq(n0,pv19)
        & leq(n0,pv20)
        & leq(s_best7,n3)
        & leq(s_sworst7,n3)
        & leq(s_worst7,n3)
        & leq(pv7,minus(n410,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv20,minus(n330,n1))
        & ! [F] :
            ( ( leq(n0,F)
              & leq(F,n2) )
           => ! [G] :
                ( ( leq(n0,G)
                  & leq(G,n3) )
               => a_select3(simplex7_init,G,F) = init ) )
        & ! [H] :
            ( ( leq(n0,H)
              & leq(H,n3) )
           => a_select2(s_values7_init,H) = init )
        & ! [I] :
            ( ( leq(n0,I)
              & leq(I,n2) )
           => a_select2(s_center7_init,I) = init )
        & ! [J] :
            ( ( leq(n0,J)
              & leq(J,minus(n3,n1)) )
           => a_select2(s_try7_init,J) = init )
        & ( gt(loopcounter,n1)
         => ( pvar1400_init = init
            & pvar1401_init = init
            & pvar1402_init = init ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

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

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

fof(f75,axiom,
    gt(n3,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f86,axiom,
    gt(n3,n2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f107,plain,
    ! [X0] : leq(X0,X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f119,plain,
    ! [X,Y] :
      ( ~ gt(Y,X)
      | leq(X,Y) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | leq(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f119]) ).

fof(f123,plain,
    ! [X,Y] :
      ( ( ~ leq(X,pred(Y))
        | gt(Y,X) )
      & ( leq(X,pred(Y))
        | ~ gt(Y,X) ) ),
    inference(NNF_transformation,[status(esa)],[f10]) ).

fof(f124,plain,
    ( ! [X,Y] :
        ( ~ leq(X,pred(Y))
        | gt(Y,X) )
    & ! [X,Y] :
        ( leq(X,pred(Y))
        | ~ gt(Y,X) ) ),
    inference(miniscoping,[status(esa)],[f123]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
      | ~ gt(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f124]) ).

fof(f225,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f259,plain,
    ( init = init
    & 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,pv7)
    & leq(n0,pv8)
    & leq(n0,pv19)
    & leq(n0,pv20)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv7,minus(n410,n1))
    & leq(pv8,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv20,minus(n330,n1))
    & ! [A] :
        ( ~ leq(n0,A)
        | ~ leq(A,n2)
        | ! [B] :
            ( ~ leq(n0,B)
            | ~ leq(B,n3)
            | a_select3(simplex7_init,B,A) = init ) )
    & ! [C] :
        ( ~ leq(n0,C)
        | ~ leq(C,n3)
        | a_select2(s_values7_init,C) = init )
    & ! [D] :
        ( ~ leq(n0,D)
        | ~ leq(D,n2)
        | a_select2(s_center7_init,D) = init )
    & ! [E] :
        ( ~ leq(n0,E)
        | ~ leq(E,minus(n3,n1))
        | a_select2(s_try7_init,E) = init )
    & ( ~ gt(loopcounter,n1)
      | ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init ) )
    & ( init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | a_select2(s_try7_init,n0) != init
      | a_select2(s_try7_init,n1) != init
      | a_select2(s_try7_init,n2) != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,pv7)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv20)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(pv7,minus(n410,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv20,minus(n330,n1))
      | ? [F] :
          ( leq(n0,F)
          & leq(F,n2)
          & ? [G] :
              ( leq(n0,G)
              & leq(G,n3)
              & a_select3(simplex7_init,G,F) != init ) )
      | ? [H] :
          ( leq(n0,H)
          & leq(H,n3)
          & a_select2(s_values7_init,H) != init )
      | ? [I] :
          ( leq(n0,I)
          & leq(I,n2)
          & a_select2(s_center7_init,I) != init )
      | ? [J] :
          ( leq(n0,J)
          & leq(J,minus(n3,n1))
          & a_select2(s_try7_init,J) != init )
      | ( gt(loopcounter,n1)
        & ( pvar1400_init != init
          | pvar1401_init != init
          | pvar1402_init != init ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f54]) ).

fof(f260,plain,
    ! [F] :
      ( pd0_3(F)
     => ( leq(n0,F)
        & leq(F,n2)
        & ? [G] :
            ( leq(n0,G)
            & leq(G,n3)
            & a_select3(simplex7_init,G,F) != init ) ) ),
    introduced(predicate_definition,[f259]) ).

fof(f261,plain,
    ! [H] :
      ( pd0_4(H)
     => ( leq(n0,H)
        & leq(H,n3)
        & a_select2(s_values7_init,H) != init ) ),
    introduced(predicate_definition,[f259]) ).

fof(f262,plain,
    ! [I] :
      ( pd0_5(I)
     => ( leq(n0,I)
        & leq(I,n2)
        & a_select2(s_center7_init,I) != init ) ),
    introduced(predicate_definition,[f259]) ).

fof(f263,plain,
    ! [J] :
      ( pd0_6(J)
     => ( leq(n0,J)
        & leq(J,minus(n3,n1))
        & a_select2(s_try7_init,J) != init ) ),
    introduced(predicate_definition,[f259]) ).

fof(f264,plain,
    ( init = init
    & 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,pv7)
    & leq(n0,pv8)
    & leq(n0,pv19)
    & leq(n0,pv20)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv7,minus(n410,n1))
    & leq(pv8,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv20,minus(n330,n1))
    & ! [A] :
        ( ~ leq(n0,A)
        | ~ leq(A,n2)
        | ! [B] :
            ( ~ leq(n0,B)
            | ~ leq(B,n3)
            | a_select3(simplex7_init,B,A) = init ) )
    & ! [C] :
        ( ~ leq(n0,C)
        | ~ leq(C,n3)
        | a_select2(s_values7_init,C) = init )
    & ! [D] :
        ( ~ leq(n0,D)
        | ~ leq(D,n2)
        | a_select2(s_center7_init,D) = init )
    & ! [E] :
        ( ~ leq(n0,E)
        | ~ leq(E,minus(n3,n1))
        | a_select2(s_try7_init,E) = init )
    & ( ~ gt(loopcounter,n1)
      | ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init ) )
    & ( init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | a_select2(s_try7_init,n0) != init
      | a_select2(s_try7_init,n1) != init
      | a_select2(s_try7_init,n2) != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,pv7)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv20)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(pv7,minus(n410,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv20,minus(n330,n1))
      | ? [F] : pd0_3(F)
      | ? [H] : pd0_4(H)
      | ? [I] : pd0_5(I)
      | ? [J] : pd0_6(J)
      | ( gt(loopcounter,n1)
        & ( pvar1400_init != init
          | pvar1401_init != init
          | pvar1402_init != init ) ) ) ),
    inference(formula_renaming,[status(thm)],[f259,f263,f262,f261,f260]) ).

fof(f265,plain,
    ( init = init
    & 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,pv7)
    & leq(n0,pv8)
    & leq(n0,pv19)
    & leq(n0,pv20)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv7,minus(n410,n1))
    & leq(pv8,minus(n330,n1))
    & leq(pv19,minus(n410,n1))
    & leq(pv20,minus(n330,n1))
    & ! [A] :
        ( ~ leq(n0,A)
        | ~ leq(A,n2)
        | ! [B] :
            ( ~ leq(n0,B)
            | ~ leq(B,n3)
            | a_select3(simplex7_init,B,A) = init ) )
    & ! [C] :
        ( ~ leq(n0,C)
        | ~ leq(C,n3)
        | a_select2(s_values7_init,C) = init )
    & ! [D] :
        ( ~ leq(n0,D)
        | ~ leq(D,n2)
        | a_select2(s_center7_init,D) = init )
    & ! [E] :
        ( ~ leq(n0,E)
        | ~ leq(E,minus(n3,n1))
        | a_select2(s_try7_init,E) = init )
    & ( ~ gt(loopcounter,n1)
      | ( pvar1400_init = init
        & pvar1401_init = init
        & pvar1402_init = init ) )
    & ( init != init
      | s_best7_init != init
      | s_sworst7_init != init
      | s_worst7_init != init
      | a_select2(s_try7_init,n0) != init
      | a_select2(s_try7_init,n1) != init
      | a_select2(s_try7_init,n2) != init
      | ~ leq(n0,s_best7)
      | ~ leq(n0,s_sworst7)
      | ~ leq(n0,s_worst7)
      | ~ leq(n0,pv7)
      | ~ leq(n0,pv19)
      | ~ leq(n0,pv20)
      | ~ leq(s_best7,n3)
      | ~ leq(s_sworst7,n3)
      | ~ leq(s_worst7,n3)
      | ~ leq(pv7,minus(n410,n1))
      | ~ leq(pv19,minus(n410,n1))
      | ~ leq(pv20,minus(n330,n1))
      | pd0_3(sk0_23)
      | pd0_4(sk0_24)
      | pd0_5(sk0_25)
      | pd0_6(sk0_26)
      | ( gt(loopcounter,n1)
        & ( pvar1400_init != init
          | pvar1401_init != init
          | pvar1402_init != init ) ) ) ),
    inference(skolemization,[status(esa)],[f264]) ).

fof(f267,plain,
    s_best7_init = init,
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f268,plain,
    s_sworst7_init = init,
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f269,plain,
    s_worst7_init = init,
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f270,plain,
    leq(n0,s_best7),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f271,plain,
    leq(n0,s_sworst7),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f272,plain,
    leq(n0,s_worst7),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f273,plain,
    leq(n0,pv7),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f275,plain,
    leq(n0,pv19),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f276,plain,
    leq(n0,pv20),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f277,plain,
    leq(s_best7,n3),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f278,plain,
    leq(s_sworst7,n3),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f279,plain,
    leq(s_worst7,n3),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f280,plain,
    leq(pv7,minus(n410,n1)),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f282,plain,
    leq(pv19,minus(n410,n1)),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f283,plain,
    leq(pv20,minus(n330,n1)),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f284,plain,
    ! [X0,X1] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,n2)
      | ~ leq(n0,X1)
      | ~ leq(X1,n3)
      | a_select3(simplex7_init,X1,X0) = init ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f285,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,n3)
      | a_select2(s_values7_init,X0) = init ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,n2)
      | a_select2(s_center7_init,X0) = init ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f287,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,minus(n3,n1))
      | a_select2(s_try7_init,X0) = init ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f288,plain,
    ( ~ gt(loopcounter,n1)
    | pvar1400_init = init ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f289,plain,
    ( ~ gt(loopcounter,n1)
    | pvar1401_init = init ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f290,plain,
    ( ~ gt(loopcounter,n1)
    | pvar1402_init = init ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f291,plain,
    ( init != init
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_try7_init,n0) != init
    | a_select2(s_try7_init,n1) != init
    | a_select2(s_try7_init,n2) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | pd0_3(sk0_23)
    | pd0_4(sk0_24)
    | pd0_5(sk0_25)
    | pd0_6(sk0_26)
    | gt(loopcounter,n1) ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f292,plain,
    ( init != init
    | s_best7_init != init
    | s_sworst7_init != init
    | s_worst7_init != init
    | a_select2(s_try7_init,n0) != init
    | a_select2(s_try7_init,n1) != init
    | a_select2(s_try7_init,n2) != init
    | ~ leq(n0,s_best7)
    | ~ leq(n0,s_sworst7)
    | ~ leq(n0,s_worst7)
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(s_best7,n3)
    | ~ leq(s_sworst7,n3)
    | ~ leq(s_worst7,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | pd0_3(sk0_23)
    | pd0_4(sk0_24)
    | pd0_5(sk0_25)
    | pd0_6(sk0_26)
    | pvar1400_init != init
    | pvar1401_init != init
    | pvar1402_init != init ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f311,plain,
    gt(n1,n0),
    inference(cnf_transformation,[status(esa)],[f73]) ).

fof(f312,plain,
    gt(n2,n0),
    inference(cnf_transformation,[status(esa)],[f74]) ).

fof(f313,plain,
    gt(n3,n0),
    inference(cnf_transformation,[status(esa)],[f75]) ).

fof(f319,plain,
    gt(n3,n1),
    inference(cnf_transformation,[status(esa)],[f81]) ).

fof(f324,plain,
    gt(n3,n2),
    inference(cnf_transformation,[status(esa)],[f86]) ).

fof(f367,plain,
    ! [F] :
      ( ~ pd0_3(F)
      | ( leq(n0,F)
        & leq(F,n2)
        & ? [G] :
            ( leq(n0,G)
            & leq(G,n3)
            & a_select3(simplex7_init,G,F) != init ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f260]) ).

fof(f368,plain,
    ! [F] :
      ( ~ pd0_3(F)
      | ( leq(n0,F)
        & leq(F,n2)
        & leq(n0,sk0_31(F))
        & leq(sk0_31(F),n3)
        & a_select3(simplex7_init,sk0_31(F),F) != init ) ),
    inference(skolemization,[status(esa)],[f367]) ).

fof(f369,plain,
    ! [X0] :
      ( ~ pd0_3(X0)
      | leq(n0,X0) ),
    inference(cnf_transformation,[status(esa)],[f368]) ).

fof(f370,plain,
    ! [X0] :
      ( ~ pd0_3(X0)
      | leq(X0,n2) ),
    inference(cnf_transformation,[status(esa)],[f368]) ).

fof(f371,plain,
    ! [X0] :
      ( ~ pd0_3(X0)
      | leq(n0,sk0_31(X0)) ),
    inference(cnf_transformation,[status(esa)],[f368]) ).

fof(f372,plain,
    ! [X0] :
      ( ~ pd0_3(X0)
      | leq(sk0_31(X0),n3) ),
    inference(cnf_transformation,[status(esa)],[f368]) ).

fof(f373,plain,
    ! [X0] :
      ( ~ pd0_3(X0)
      | a_select3(simplex7_init,sk0_31(X0),X0) != init ),
    inference(cnf_transformation,[status(esa)],[f368]) ).

fof(f374,plain,
    ! [H] :
      ( ~ pd0_4(H)
      | ( leq(n0,H)
        & leq(H,n3)
        & a_select2(s_values7_init,H) != init ) ),
    inference(pre_NNF_transformation,[status(esa)],[f261]) ).

fof(f375,plain,
    ! [X0] :
      ( ~ pd0_4(X0)
      | leq(n0,X0) ),
    inference(cnf_transformation,[status(esa)],[f374]) ).

fof(f376,plain,
    ! [X0] :
      ( ~ pd0_4(X0)
      | leq(X0,n3) ),
    inference(cnf_transformation,[status(esa)],[f374]) ).

fof(f377,plain,
    ! [X0] :
      ( ~ pd0_4(X0)
      | a_select2(s_values7_init,X0) != init ),
    inference(cnf_transformation,[status(esa)],[f374]) ).

fof(f378,plain,
    ! [I] :
      ( ~ pd0_5(I)
      | ( leq(n0,I)
        & leq(I,n2)
        & a_select2(s_center7_init,I) != init ) ),
    inference(pre_NNF_transformation,[status(esa)],[f262]) ).

fof(f379,plain,
    ! [X0] :
      ( ~ pd0_5(X0)
      | leq(n0,X0) ),
    inference(cnf_transformation,[status(esa)],[f378]) ).

fof(f380,plain,
    ! [X0] :
      ( ~ pd0_5(X0)
      | leq(X0,n2) ),
    inference(cnf_transformation,[status(esa)],[f378]) ).

fof(f381,plain,
    ! [X0] :
      ( ~ pd0_5(X0)
      | a_select2(s_center7_init,X0) != init ),
    inference(cnf_transformation,[status(esa)],[f378]) ).

fof(f382,plain,
    ! [J] :
      ( ~ pd0_6(J)
      | ( leq(n0,J)
        & leq(J,minus(n3,n1))
        & a_select2(s_try7_init,J) != init ) ),
    inference(pre_NNF_transformation,[status(esa)],[f263]) ).

fof(f383,plain,
    ! [X0] :
      ( ~ pd0_6(X0)
      | leq(n0,X0) ),
    inference(cnf_transformation,[status(esa)],[f382]) ).

fof(f384,plain,
    ! [X0] :
      ( ~ pd0_6(X0)
      | leq(X0,minus(n3,n1)) ),
    inference(cnf_transformation,[status(esa)],[f382]) ).

fof(f385,plain,
    ! [X0] :
      ( ~ pd0_6(X0)
      | a_select2(s_try7_init,X0) != init ),
    inference(cnf_transformation,[status(esa)],[f382]) ).

fof(f392,plain,
    ( spl0_0
  <=> gt(loopcounter,n1) ),
    introduced(split_symbol_definition) ).

fof(f395,plain,
    ( spl0_1
  <=> pvar1400_init = init ),
    introduced(split_symbol_definition) ).

fof(f398,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f288,f392,f395]) ).

fof(f399,plain,
    ( spl0_2
  <=> pvar1401_init = init ),
    introduced(split_symbol_definition) ).

fof(f402,plain,
    ( ~ spl0_0
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f289,f392,f399]) ).

fof(f403,plain,
    ( spl0_3
  <=> pvar1402_init = init ),
    introduced(split_symbol_definition) ).

fof(f406,plain,
    ( ~ spl0_0
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f290,f392,f403]) ).

fof(f407,plain,
    ( spl0_4
  <=> init = init ),
    introduced(split_symbol_definition) ).

fof(f409,plain,
    ( init != init
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f407]) ).

fof(f410,plain,
    ( spl0_5
  <=> s_best7_init = init ),
    introduced(split_symbol_definition) ).

fof(f412,plain,
    ( s_best7_init != init
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f410]) ).

fof(f413,plain,
    ( spl0_6
  <=> s_sworst7_init = init ),
    introduced(split_symbol_definition) ).

fof(f415,plain,
    ( s_sworst7_init != init
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f413]) ).

fof(f416,plain,
    ( spl0_7
  <=> s_worst7_init = init ),
    introduced(split_symbol_definition) ).

fof(f418,plain,
    ( s_worst7_init != init
    | spl0_7 ),
    inference(component_clause,[status(thm)],[f416]) ).

fof(f419,plain,
    ( spl0_8
  <=> a_select2(s_try7_init,n0) = init ),
    introduced(split_symbol_definition) ).

fof(f421,plain,
    ( a_select2(s_try7_init,n0) != init
    | spl0_8 ),
    inference(component_clause,[status(thm)],[f419]) ).

fof(f422,plain,
    ( spl0_9
  <=> a_select2(s_try7_init,n1) = init ),
    introduced(split_symbol_definition) ).

fof(f424,plain,
    ( a_select2(s_try7_init,n1) != init
    | spl0_9 ),
    inference(component_clause,[status(thm)],[f422]) ).

fof(f425,plain,
    ( spl0_10
  <=> a_select2(s_try7_init,n2) = init ),
    introduced(split_symbol_definition) ).

fof(f427,plain,
    ( a_select2(s_try7_init,n2) != init
    | spl0_10 ),
    inference(component_clause,[status(thm)],[f425]) ).

fof(f428,plain,
    ( spl0_11
  <=> leq(n0,s_best7) ),
    introduced(split_symbol_definition) ).

fof(f430,plain,
    ( ~ leq(n0,s_best7)
    | spl0_11 ),
    inference(component_clause,[status(thm)],[f428]) ).

fof(f431,plain,
    ( spl0_12
  <=> leq(n0,s_sworst7) ),
    introduced(split_symbol_definition) ).

fof(f433,plain,
    ( ~ leq(n0,s_sworst7)
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f431]) ).

fof(f434,plain,
    ( spl0_13
  <=> leq(n0,s_worst7) ),
    introduced(split_symbol_definition) ).

fof(f436,plain,
    ( ~ leq(n0,s_worst7)
    | spl0_13 ),
    inference(component_clause,[status(thm)],[f434]) ).

fof(f437,plain,
    ( spl0_14
  <=> leq(n0,pv7) ),
    introduced(split_symbol_definition) ).

fof(f439,plain,
    ( ~ leq(n0,pv7)
    | spl0_14 ),
    inference(component_clause,[status(thm)],[f437]) ).

fof(f440,plain,
    ( spl0_15
  <=> leq(n0,pv19) ),
    introduced(split_symbol_definition) ).

fof(f442,plain,
    ( ~ leq(n0,pv19)
    | spl0_15 ),
    inference(component_clause,[status(thm)],[f440]) ).

fof(f443,plain,
    ( spl0_16
  <=> leq(n0,pv20) ),
    introduced(split_symbol_definition) ).

fof(f445,plain,
    ( ~ leq(n0,pv20)
    | spl0_16 ),
    inference(component_clause,[status(thm)],[f443]) ).

fof(f446,plain,
    ( spl0_17
  <=> leq(s_best7,n3) ),
    introduced(split_symbol_definition) ).

fof(f448,plain,
    ( ~ leq(s_best7,n3)
    | spl0_17 ),
    inference(component_clause,[status(thm)],[f446]) ).

fof(f449,plain,
    ( spl0_18
  <=> leq(s_sworst7,n3) ),
    introduced(split_symbol_definition) ).

fof(f451,plain,
    ( ~ leq(s_sworst7,n3)
    | spl0_18 ),
    inference(component_clause,[status(thm)],[f449]) ).

fof(f452,plain,
    ( spl0_19
  <=> leq(s_worst7,n3) ),
    introduced(split_symbol_definition) ).

fof(f454,plain,
    ( ~ leq(s_worst7,n3)
    | spl0_19 ),
    inference(component_clause,[status(thm)],[f452]) ).

fof(f455,plain,
    ( spl0_20
  <=> leq(pv7,minus(n410,n1)) ),
    introduced(split_symbol_definition) ).

fof(f457,plain,
    ( ~ leq(pv7,minus(n410,n1))
    | spl0_20 ),
    inference(component_clause,[status(thm)],[f455]) ).

fof(f458,plain,
    ( spl0_21
  <=> leq(pv19,minus(n410,n1)) ),
    introduced(split_symbol_definition) ).

fof(f460,plain,
    ( ~ leq(pv19,minus(n410,n1))
    | spl0_21 ),
    inference(component_clause,[status(thm)],[f458]) ).

fof(f461,plain,
    ( spl0_22
  <=> leq(pv20,minus(n330,n1)) ),
    introduced(split_symbol_definition) ).

fof(f463,plain,
    ( ~ leq(pv20,minus(n330,n1))
    | spl0_22 ),
    inference(component_clause,[status(thm)],[f461]) ).

fof(f464,plain,
    ( spl0_23
  <=> pd0_3(sk0_23) ),
    introduced(split_symbol_definition) ).

fof(f465,plain,
    ( pd0_3(sk0_23)
    | ~ spl0_23 ),
    inference(component_clause,[status(thm)],[f464]) ).

fof(f467,plain,
    ( spl0_24
  <=> pd0_4(sk0_24) ),
    introduced(split_symbol_definition) ).

fof(f468,plain,
    ( pd0_4(sk0_24)
    | ~ spl0_24 ),
    inference(component_clause,[status(thm)],[f467]) ).

fof(f470,plain,
    ( spl0_25
  <=> pd0_5(sk0_25) ),
    introduced(split_symbol_definition) ).

fof(f471,plain,
    ( pd0_5(sk0_25)
    | ~ spl0_25 ),
    inference(component_clause,[status(thm)],[f470]) ).

fof(f473,plain,
    ( spl0_26
  <=> pd0_6(sk0_26) ),
    introduced(split_symbol_definition) ).

fof(f474,plain,
    ( pd0_6(sk0_26)
    | ~ spl0_26 ),
    inference(component_clause,[status(thm)],[f473]) ).

fof(f476,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22
    | spl0_23
    | spl0_24
    | spl0_25
    | spl0_26
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f291,f407,f410,f413,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443,f446,f449,f452,f455,f458,f461,f464,f467,f470,f473,f392]) ).

fof(f477,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19
    | ~ spl0_20
    | ~ spl0_21
    | ~ spl0_22
    | spl0_23
    | spl0_24
    | spl0_25
    | spl0_26
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f292,f407,f410,f413,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443,f446,f449,f452,f455,f458,f461,f464,f467,f470,f473,f395,f399,f403]) ).

fof(f480,plain,
    ( $false
    | spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f463,f283]) ).

fof(f481,plain,
    spl0_22,
    inference(contradiction_clause,[status(thm)],[f480]) ).

fof(f482,plain,
    ( $false
    | spl0_21 ),
    inference(forward_subsumption_resolution,[status(thm)],[f460,f282]) ).

fof(f483,plain,
    spl0_21,
    inference(contradiction_clause,[status(thm)],[f482]) ).

fof(f484,plain,
    ( $false
    | spl0_20 ),
    inference(forward_subsumption_resolution,[status(thm)],[f457,f280]) ).

fof(f485,plain,
    spl0_20,
    inference(contradiction_clause,[status(thm)],[f484]) ).

fof(f486,plain,
    ( $false
    | spl0_19 ),
    inference(forward_subsumption_resolution,[status(thm)],[f454,f279]) ).

fof(f487,plain,
    spl0_19,
    inference(contradiction_clause,[status(thm)],[f486]) ).

fof(f488,plain,
    ( $false
    | spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f451,f278]) ).

fof(f489,plain,
    spl0_18,
    inference(contradiction_clause,[status(thm)],[f488]) ).

fof(f490,plain,
    ( $false
    | spl0_17 ),
    inference(forward_subsumption_resolution,[status(thm)],[f448,f277]) ).

fof(f491,plain,
    spl0_17,
    inference(contradiction_clause,[status(thm)],[f490]) ).

fof(f492,plain,
    ( $false
    | spl0_16 ),
    inference(forward_subsumption_resolution,[status(thm)],[f445,f276]) ).

fof(f493,plain,
    spl0_16,
    inference(contradiction_clause,[status(thm)],[f492]) ).

fof(f494,plain,
    ( $false
    | spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f442,f275]) ).

fof(f495,plain,
    spl0_15,
    inference(contradiction_clause,[status(thm)],[f494]) ).

fof(f496,plain,
    ( $false
    | spl0_14 ),
    inference(forward_subsumption_resolution,[status(thm)],[f439,f273]) ).

fof(f497,plain,
    spl0_14,
    inference(contradiction_clause,[status(thm)],[f496]) ).

fof(f498,plain,
    ( $false
    | spl0_13 ),
    inference(forward_subsumption_resolution,[status(thm)],[f436,f272]) ).

fof(f499,plain,
    spl0_13,
    inference(contradiction_clause,[status(thm)],[f498]) ).

fof(f500,plain,
    ( $false
    | spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f433,f271]) ).

fof(f501,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f500]) ).

fof(f502,plain,
    ( $false
    | spl0_11 ),
    inference(forward_subsumption_resolution,[status(thm)],[f430,f270]) ).

fof(f503,plain,
    spl0_11,
    inference(contradiction_clause,[status(thm)],[f502]) ).

fof(f504,plain,
    ! [X0] :
      ( ~ pd0_4(X0)
      | ~ leq(n0,X0)
      | ~ leq(X0,n3) ),
    inference(resolution,[status(thm)],[f377,f285]) ).

fof(f505,plain,
    ! [X0] :
      ( ~ pd0_4(X0)
      | ~ leq(X0,n3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f504,f375]) ).

fof(f506,plain,
    ! [X0] : ~ pd0_4(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f505,f376]) ).

fof(f507,plain,
    ( spl0_27
  <=> leq(n0,n0) ),
    introduced(split_symbol_definition) ).

fof(f509,plain,
    ( ~ leq(n0,n0)
    | spl0_27 ),
    inference(component_clause,[status(thm)],[f507]) ).

fof(f525,plain,
    ! [X0] :
      ( ~ pd0_3(X0)
      | ~ leq(n0,X0)
      | ~ leq(X0,n2)
      | ~ leq(n0,sk0_31(X0))
      | ~ leq(sk0_31(X0),n3) ),
    inference(resolution,[status(thm)],[f373,f284]) ).

fof(f526,plain,
    ! [X0] :
      ( ~ pd0_3(X0)
      | ~ leq(X0,n2)
      | ~ leq(n0,sk0_31(X0))
      | ~ leq(sk0_31(X0),n3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f525,f369]) ).

fof(f527,plain,
    ! [X0] :
      ( ~ pd0_5(X0)
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(resolution,[status(thm)],[f381,f286]) ).

fof(f528,plain,
    ! [X0] :
      ( ~ pd0_5(X0)
      | ~ leq(X0,n2) ),
    inference(forward_subsumption_resolution,[status(thm)],[f527,f379]) ).

fof(f529,plain,
    ! [X0] : ~ pd0_5(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f528,f380]) ).

fof(f530,plain,
    ! [X0] :
      ( ~ pd0_6(X0)
      | ~ leq(n0,X0)
      | a_select2(s_try7_init,X0) = init ),
    inference(resolution,[status(thm)],[f384,f287]) ).

fof(f531,plain,
    ! [X0] :
      ( ~ pd0_6(X0)
      | a_select2(s_try7_init,X0) = init ),
    inference(forward_subsumption_resolution,[status(thm)],[f530,f383]) ).

fof(f532,plain,
    ! [X0] : ~ pd0_6(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f531,f385]) ).

fof(f533,plain,
    ! [X0] :
      ( ~ pd0_3(X0)
      | ~ leq(n0,sk0_31(X0))
      | ~ leq(sk0_31(X0),n3) ),
    inference(forward_subsumption_resolution,[status(thm)],[f526,f370]) ).

fof(f534,plain,
    ! [X0] :
      ( ~ pd0_3(X0)
      | ~ leq(n0,sk0_31(X0))
      | ~ pd0_3(X0) ),
    inference(resolution,[status(thm)],[f533,f372]) ).

fof(f535,plain,
    ! [X0] :
      ( ~ pd0_3(X0)
      | ~ leq(n0,sk0_31(X0)) ),
    inference(duplicate_literals_removal,[status(esa)],[f534]) ).

fof(f536,plain,
    ! [X0] : ~ pd0_3(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f535,f371]) ).

fof(f590,plain,
    leq(n0,n2),
    inference(resolution,[status(thm)],[f120,f312]) ).

fof(f591,plain,
    leq(n0,n1),
    inference(resolution,[status(thm)],[f120,f311]) ).

fof(f721,plain,
    ( spl0_54
  <=> gt(n3,n1) ),
    introduced(split_symbol_definition) ).

fof(f723,plain,
    ( ~ gt(n3,n1)
    | spl0_54 ),
    inference(component_clause,[status(thm)],[f721]) ).

fof(f745,plain,
    ( spl0_60
  <=> gt(n3,n2) ),
    introduced(split_symbol_definition) ).

fof(f747,plain,
    ( ~ gt(n3,n2)
    | spl0_60 ),
    inference(component_clause,[status(thm)],[f745]) ).

fof(f875,plain,
    ( spl0_92
  <=> gt(n3,n0) ),
    introduced(split_symbol_definition) ).

fof(f877,plain,
    ( ~ gt(n3,n0)
    | spl0_92 ),
    inference(component_clause,[status(thm)],[f875]) ).

fof(f1008,plain,
    ( $false
    | spl0_27 ),
    inference(forward_subsumption_resolution,[status(thm)],[f509,f107]) ).

fof(f1009,plain,
    spl0_27,
    inference(contradiction_clause,[status(thm)],[f1008]) ).

fof(f1094,plain,
    ( spl0_140
  <=> leq(n0,n1) ),
    introduced(split_symbol_definition) ).

fof(f1096,plain,
    ( ~ leq(n0,n1)
    | spl0_140 ),
    inference(component_clause,[status(thm)],[f1094]) ).

fof(f1099,plain,
    ( $false
    | spl0_140 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1096,f591]) ).

fof(f1100,plain,
    spl0_140,
    inference(contradiction_clause,[status(thm)],[f1099]) ).

fof(f1198,plain,
    ( init != init
    | spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f269,f418]) ).

fof(f1199,plain,
    ( $false
    | spl0_7 ),
    inference(trivial_equality_resolution,[status(esa)],[f1198]) ).

fof(f1200,plain,
    spl0_7,
    inference(contradiction_clause,[status(thm)],[f1199]) ).

fof(f1201,plain,
    ( init != init
    | spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f268,f415]) ).

fof(f1202,plain,
    ( $false
    | spl0_6 ),
    inference(trivial_equality_resolution,[status(esa)],[f1201]) ).

fof(f1203,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f1202]) ).

fof(f1204,plain,
    ( init != init
    | spl0_5 ),
    inference(forward_demodulation,[status(thm)],[f267,f412]) ).

fof(f1205,plain,
    ( $false
    | spl0_5 ),
    inference(trivial_equality_resolution,[status(esa)],[f1204]) ).

fof(f1206,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f1205]) ).

fof(f1207,plain,
    ( $false
    | spl0_4 ),
    inference(trivial_equality_resolution,[status(esa)],[f409]) ).

fof(f1208,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f1207]) ).

fof(f1209,plain,
    ( $false
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[status(thm)],[f474,f532]) ).

fof(f1210,plain,
    ~ spl0_26,
    inference(contradiction_clause,[status(thm)],[f1209]) ).

fof(f1211,plain,
    ( $false
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f471,f529]) ).

fof(f1212,plain,
    ~ spl0_25,
    inference(contradiction_clause,[status(thm)],[f1211]) ).

fof(f1213,plain,
    ( $false
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f468,f506]) ).

fof(f1214,plain,
    ~ spl0_24,
    inference(contradiction_clause,[status(thm)],[f1213]) ).

fof(f1215,plain,
    ( $false
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f465,f536]) ).

fof(f1216,plain,
    ~ spl0_23,
    inference(contradiction_clause,[status(thm)],[f1215]) ).

fof(f1858,plain,
    ( spl0_198
  <=> leq(n0,n2) ),
    introduced(split_symbol_definition) ).

fof(f1860,plain,
    ( ~ leq(n0,n2)
    | spl0_198 ),
    inference(component_clause,[status(thm)],[f1858]) ).

fof(f1863,plain,
    ( $false
    | spl0_198 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1860,f590]) ).

fof(f1864,plain,
    spl0_198,
    inference(contradiction_clause,[status(thm)],[f1863]) ).

fof(f5992,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,pred(n3))
      | a_select2(s_try7_init,X0) = init ),
    inference(backward_demodulation,[status(thm)],[f225,f287]) ).

fof(f6136,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | a_select2(s_try7_init,X0) = init
      | ~ gt(n3,X0) ),
    inference(resolution,[status(thm)],[f5992,f126]) ).

fof(f21958,plain,
    ( ~ leq(n0,n2)
    | ~ gt(n3,n2)
    | spl0_10 ),
    inference(resolution,[status(thm)],[f6136,f427]) ).

fof(f21959,plain,
    ( ~ spl0_198
    | ~ spl0_60
    | spl0_10 ),
    inference(split_clause,[status(thm)],[f21958,f1858,f745,f425]) ).

fof(f21960,plain,
    ( ~ leq(n0,n1)
    | ~ gt(n3,n1)
    | spl0_9 ),
    inference(resolution,[status(thm)],[f6136,f424]) ).

fof(f21961,plain,
    ( ~ spl0_140
    | ~ spl0_54
    | spl0_9 ),
    inference(split_clause,[status(thm)],[f21960,f1094,f721,f422]) ).

fof(f21971,plain,
    ( $false
    | spl0_60 ),
    inference(forward_subsumption_resolution,[status(thm)],[f747,f324]) ).

fof(f21972,plain,
    spl0_60,
    inference(contradiction_clause,[status(thm)],[f21971]) ).

fof(f21974,plain,
    ( $false
    | spl0_54 ),
    inference(forward_subsumption_resolution,[status(thm)],[f723,f319]) ).

fof(f21975,plain,
    spl0_54,
    inference(contradiction_clause,[status(thm)],[f21974]) ).

fof(f22397,plain,
    ( ~ leq(n0,n0)
    | ~ gt(n3,n0)
    | spl0_8 ),
    inference(resolution,[status(thm)],[f421,f6136]) ).

fof(f22398,plain,
    ( ~ spl0_27
    | ~ spl0_92
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f22397,f507,f875,f419]) ).

fof(f22399,plain,
    ( $false
    | spl0_92 ),
    inference(forward_subsumption_resolution,[status(thm)],[f877,f313]) ).

fof(f22400,plain,
    spl0_92,
    inference(contradiction_clause,[status(thm)],[f22399]) ).

fof(f22401,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f398,f402,f406,f476,f477,f481,f483,f485,f487,f489,f491,f493,f495,f497,f499,f501,f503,f1009,f1100,f1200,f1203,f1206,f1208,f1210,f1212,f1214,f1216,f1864,f21959,f21961,f21972,f21975,f22398,f22400]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SWV024+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n007.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 11:22:32 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.33  % Drodi V3.5.1
% 57.71/7.70  % Refutation found
% 57.71/7.70  % SZS status Theorem for theBenchmark: Theorem is valid
% 57.71/7.70  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 58.36/7.77  % Elapsed time: 7.447863 seconds
% 58.36/7.77  % CPU time: 58.368882 seconds
% 58.36/7.77  % Memory used: 269.762 MB
%------------------------------------------------------------------------------