TSTP Solution File: SWV031+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV031+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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  : 600s
% DateTime : Wed Jul 20 18:14:53 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   71 (  10 unt;   0 def)
%            Number of atoms       :  416 ( 139 equ)
%            Maximal formula atoms :  103 (   5 avg)
%            Number of connectives :  580 ( 235   ~; 272   |;  58   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   6 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  14 con; 0-3 aty)
%            Number of variables   :   39 (   0 sgn  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_init_0037,conjecture,
    ( ( init = init
      & leq(n0,pv9)
      & leq(n0,pv10)
      & leq(pv9,minus(n410,n1))
      & leq(pv10,minus(n330,n1))
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n2) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n3) )
             => a_select3(simplex7_init,X18,X14) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n3) )
         => a_select2(s_values7_init,X4) = init ) )
   => ( init = init
      & a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) = init
      & leq(n0,pv9)
      & leq(pv9,minus(n410,n1))
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n2) )
         => ! [X21] :
              ( ( leq(n0,X21)
                & leq(X21,n3) )
             => a_select3(simplex7_init,X21,X20) = init ) )
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,n3) )
         => a_select2(s_values7_init,X22) = init ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',gauss_init_0037) ).

fof(const_array2_select,axiom,
    ! [X5,X9,X10,X11,X12,X13,X8] :
      ( ( leq(X9,X5)
        & leq(X5,X10)
        & leq(X12,X11)
        & leq(X11,X13) )
     => a_select3(tptp_const_array2(dim(X9,X10),dim(X12,X13),X8),X5,X11) = X8 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',const_array2_select) ).

fof(c_0_2,negated_conjecture,
    ~ ( ( init = init
        & leq(n0,pv9)
        & leq(n0,pv10)
        & leq(pv9,minus(n410,n1))
        & leq(pv10,minus(n330,n1))
        & ! [X14] :
            ( ( leq(n0,X14)
              & leq(X14,n2) )
           => ! [X18] :
                ( ( leq(n0,X18)
                  & leq(X18,n3) )
               => a_select3(simplex7_init,X18,X14) = init ) )
        & ! [X4] :
            ( ( leq(n0,X4)
              & leq(X4,n3) )
           => a_select2(s_values7_init,X4) = init ) )
     => ( init = init
        & a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) = init
        & leq(n0,pv9)
        & leq(pv9,minus(n410,n1))
        & ! [X20] :
            ( ( leq(n0,X20)
              & leq(X20,n2) )
           => ! [X21] :
                ( ( leq(n0,X21)
                  & leq(X21,n3) )
               => a_select3(simplex7_init,X21,X20) = init ) )
        & ! [X22] :
            ( ( leq(n0,X22)
              & leq(X22,n3) )
           => a_select2(s_values7_init,X22) = init ) ) ),
    inference(assume_negation,[status(cth)],[gauss_init_0037]) ).

fof(c_0_3,negated_conjecture,
    ! [X23,X24,X25] :
      ( init = init
      & leq(n0,pv9)
      & leq(n0,pv10)
      & leq(pv9,minus(n410,n1))
      & leq(pv10,minus(n330,n1))
      & ( ~ leq(n0,X23)
        | ~ leq(X23,n2)
        | ~ leq(n0,X24)
        | ~ leq(X24,n3)
        | a_select3(simplex7_init,X24,X23) = init )
      & ( ~ leq(n0,X25)
        | ~ leq(X25,n3)
        | a_select2(s_values7_init,X25) = init )
      & ( leq(n0,esk3_0)
        | leq(n0,esk1_0)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( leq(esk3_0,n3)
        | leq(n0,esk1_0)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( a_select2(s_values7_init,esk3_0) != init
        | leq(n0,esk1_0)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( leq(n0,esk3_0)
        | leq(esk1_0,n2)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( leq(esk3_0,n3)
        | leq(esk1_0,n2)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( a_select2(s_values7_init,esk3_0) != init
        | leq(esk1_0,n2)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( leq(n0,esk3_0)
        | leq(n0,esk2_0)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( leq(esk3_0,n3)
        | leq(n0,esk2_0)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( a_select2(s_values7_init,esk3_0) != init
        | leq(n0,esk2_0)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( leq(n0,esk3_0)
        | leq(esk2_0,n3)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( leq(esk3_0,n3)
        | leq(esk2_0,n3)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( a_select2(s_values7_init,esk3_0) != init
        | leq(esk2_0,n3)
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( leq(n0,esk3_0)
        | a_select3(simplex7_init,esk2_0,esk1_0) != init
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( leq(esk3_0,n3)
        | a_select3(simplex7_init,esk2_0,esk1_0) != init
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) )
      & ( a_select2(s_values7_init,esk3_0) != init
        | a_select3(simplex7_init,esk2_0,esk1_0) != init
        | init != init
        | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
        | ~ leq(n0,pv9)
        | ~ leq(pv9,minus(n410,n1)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])]) ).

cnf(c_0_4,negated_conjecture,
    ( ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false
    | a_select3(simplex7_init,esk2_0,esk1_0) != init
    | a_select2(s_values7_init,esk3_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ( a_select2(s_values7_init,esk3_0) != init
    | a_select3(simplex7_init,esk2_0,esk1_0) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_4]) ).

cnf(c_0_6,negated_conjecture,
    leq(n0,pv9),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    ( leq(n0,esk3_0)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false
    | a_select3(simplex7_init,esk2_0,esk1_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    ( leq(esk3_0,n3)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false
    | a_select3(simplex7_init,esk2_0,esk1_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | a_select3(simplex7_init,esk2_0,esk1_0) != init
    | a_select2(s_values7_init,esk3_0) != init
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]) ).

cnf(c_0_10,negated_conjecture,
    leq(pv9,minus(n410,n1)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_11,negated_conjecture,
    ( leq(n0,esk3_0)
    | a_select3(simplex7_init,esk2_0,esk1_0) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    ( leq(esk3_0,n3)
    | a_select3(simplex7_init,esk2_0,esk1_0) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    ( leq(n0,esk1_0)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false
    | a_select2(s_values7_init,esk3_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_14,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(n0,esk3_0)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_15,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(esk3_0,n3)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_16,negated_conjecture,
    ( leq(n0,esk2_0)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false
    | a_select2(s_values7_init,esk3_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_17,negated_conjecture,
    ( leq(n0,esk2_0)
    | leq(n0,esk3_0)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_18,negated_conjecture,
    ( leq(n0,esk2_0)
    | leq(esk3_0,n3)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_19,negated_conjecture,
    ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | a_select3(simplex7_init,esk2_0,esk1_0) != init
    | a_select2(s_values7_init,esk3_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).

cnf(c_0_20,negated_conjecture,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(X1,n3)
    | ~ leq(n0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_21,negated_conjecture,
    ( leq(n0,esk3_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | a_select3(simplex7_init,esk2_0,esk1_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_6]),c_0_10])]) ).

cnf(c_0_22,negated_conjecture,
    ( leq(esk3_0,n3)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | a_select3(simplex7_init,esk2_0,esk1_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_6]),c_0_10])]) ).

fof(c_0_23,plain,
    ! [X14,X15,X16,X17,X18,X19,X20] :
      ( ~ leq(X15,X14)
      | ~ leq(X14,X16)
      | ~ leq(X18,X17)
      | ~ leq(X17,X19)
      | a_select3(tptp_const_array2(dim(X15,X16),dim(X18,X19),X20),X14,X17) = X20 ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[const_array2_select])])])]) ).

cnf(c_0_24,negated_conjecture,
    ( leq(n0,esk1_0)
    | a_select2(s_values7_init,esk3_0) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_13]) ).

cnf(c_0_25,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(n0,esk3_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_14]) ).

cnf(c_0_26,negated_conjecture,
    ( leq(n0,esk1_0)
    | leq(esk3_0,n3)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_15]) ).

cnf(c_0_27,negated_conjecture,
    ( leq(n0,esk2_0)
    | a_select2(s_values7_init,esk3_0) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_16]) ).

cnf(c_0_28,negated_conjecture,
    ( leq(n0,esk2_0)
    | leq(n0,esk3_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_17]) ).

cnf(c_0_29,negated_conjecture,
    ( leq(n0,esk2_0)
    | leq(esk3_0,n3)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_18]) ).

cnf(c_0_30,negated_conjecture,
    ( leq(esk1_0,n2)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false
    | a_select2(s_values7_init,esk3_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_31,negated_conjecture,
    ( leq(esk1_0,n2)
    | leq(n0,esk3_0)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_32,negated_conjecture,
    ( leq(esk1_0,n2)
    | leq(esk3_0,n3)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_33,negated_conjecture,
    ( leq(esk2_0,n3)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false
    | a_select2(s_values7_init,esk3_0) != init ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_34,negated_conjecture,
    ( leq(esk2_0,n3)
    | leq(n0,esk3_0)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_35,negated_conjecture,
    ( leq(esk2_0,n3)
    | leq(esk3_0,n3)
    | ~ leq(pv9,minus(n410,n1))
    | ~ leq(n0,pv9)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | $false ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_36,negated_conjecture,
    ( a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | a_select3(simplex7_init,esk2_0,esk1_0) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).

cnf(c_0_37,plain,
    ( a_select3(tptp_const_array2(dim(X1,X2),dim(X3,X4),X5),X6,X7) = X5
    | ~ leq(X7,X4)
    | ~ leq(X3,X7)
    | ~ leq(X6,X2)
    | ~ leq(X1,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_38,negated_conjecture,
    leq(pv10,minus(n330,n1)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_39,negated_conjecture,
    leq(n0,pv10),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_40,negated_conjecture,
    ( leq(n0,esk1_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | a_select2(s_values7_init,esk3_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_6]),c_0_10])]) ).

cnf(c_0_41,negated_conjecture,
    ( leq(n0,esk3_0)
    | leq(n0,esk1_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_6]),c_0_10])]) ).

cnf(c_0_42,negated_conjecture,
    ( leq(esk3_0,n3)
    | leq(n0,esk1_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_6]),c_0_10])]) ).

cnf(c_0_43,negated_conjecture,
    ( leq(n0,esk2_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | a_select2(s_values7_init,esk3_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_6]),c_0_10])]) ).

cnf(c_0_44,negated_conjecture,
    ( leq(n0,esk3_0)
    | leq(n0,esk2_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_6]),c_0_10])]) ).

cnf(c_0_45,negated_conjecture,
    ( leq(esk3_0,n3)
    | leq(n0,esk2_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_6]),c_0_10])]) ).

cnf(c_0_46,negated_conjecture,
    ( leq(esk1_0,n2)
    | a_select2(s_values7_init,esk3_0) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_30]) ).

cnf(c_0_47,negated_conjecture,
    ( leq(n0,esk3_0)
    | leq(esk1_0,n2)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_31]) ).

cnf(c_0_48,negated_conjecture,
    ( leq(esk1_0,n2)
    | leq(esk3_0,n3)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_32]) ).

cnf(c_0_49,negated_conjecture,
    ( leq(esk2_0,n3)
    | a_select2(s_values7_init,esk3_0) != init
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_33]) ).

cnf(c_0_50,negated_conjecture,
    ( leq(n0,esk3_0)
    | leq(esk2_0,n3)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_34]) ).

cnf(c_0_51,negated_conjecture,
    ( leq(esk2_0,n3)
    | leq(esk3_0,n3)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | ~ leq(n0,pv9)
    | ~ leq(pv9,minus(n410,n1)) ),
    inference(cn,[status(thm)],[c_0_35]) ).

cnf(c_0_52,negated_conjecture,
    a_select3(simplex7_init,esk2_0,esk1_0) != init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_10]),c_0_39]),c_0_6])]) ).

cnf(c_0_53,negated_conjecture,
    ( a_select3(simplex7_init,X1,X2) = init
    | ~ leq(X1,n3)
    | ~ leq(n0,X1)
    | ~ leq(X2,n2)
    | ~ leq(n0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_54,negated_conjecture,
    ( leq(n0,esk1_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_20]),c_0_41]),c_0_42]) ).

cnf(c_0_55,negated_conjecture,
    ( leq(n0,esk2_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_20]),c_0_44]),c_0_45]) ).

cnf(c_0_56,negated_conjecture,
    ( leq(esk1_0,n2)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | a_select2(s_values7_init,esk3_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_6]),c_0_10])]) ).

cnf(c_0_57,negated_conjecture,
    ( leq(esk1_0,n2)
    | leq(n0,esk3_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_6]),c_0_10])]) ).

cnf(c_0_58,negated_conjecture,
    ( leq(esk3_0,n3)
    | leq(esk1_0,n2)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_6]),c_0_10])]) ).

cnf(c_0_59,negated_conjecture,
    ( leq(esk2_0,n3)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init
    | a_select2(s_values7_init,esk3_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_6]),c_0_10])]) ).

cnf(c_0_60,negated_conjecture,
    ( leq(esk2_0,n3)
    | leq(n0,esk3_0)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_6]),c_0_10])]) ).

cnf(c_0_61,negated_conjecture,
    ( leq(esk3_0,n3)
    | leq(esk2_0,n3)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_6]),c_0_10])]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ leq(esk1_0,n2)
    | ~ leq(esk2_0,n3)
    | ~ leq(n0,esk1_0)
    | ~ leq(n0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_63,negated_conjecture,
    leq(n0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_37]),c_0_38]),c_0_10]),c_0_39]),c_0_6])]) ).

cnf(c_0_64,negated_conjecture,
    leq(n0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_37]),c_0_38]),c_0_10]),c_0_39]),c_0_6])]) ).

cnf(c_0_65,negated_conjecture,
    ( leq(esk1_0,n2)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_20]),c_0_57]),c_0_58]) ).

cnf(c_0_66,negated_conjecture,
    ( leq(esk2_0,n3)
    | a_select3(tptp_const_array2(dim(n0,minus(n410,n1)),dim(n0,minus(n330,n1)),init),pv9,pv10) != init ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_20]),c_0_60]),c_0_61]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ leq(esk1_0,n2)
    | ~ leq(esk2_0,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]),c_0_64])]) ).

cnf(c_0_68,negated_conjecture,
    leq(esk1_0,n2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_37]),c_0_38]),c_0_10]),c_0_39]),c_0_6])]) ).

cnf(c_0_69,negated_conjecture,
    leq(esk2_0,n3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_37]),c_0_38]),c_0_10]),c_0_39]),c_0_6])]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]),c_0_69])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV031+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun 16 03:20:20 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.026 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 71
% 0.24/1.42  # Proof object clause steps            : 66
% 0.24/1.42  # Proof object formula steps           : 5
% 0.24/1.42  # Proof object conjectures             : 68
% 0.24/1.42  # Proof object clause conjectures      : 65
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 22
% 0.24/1.42  # Proof object initial formulas used   : 2
% 0.24/1.42  # Proof object generating inferences   : 11
% 0.24/1.42  # Proof object simplifying inferences  : 104
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 100
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 23
% 0.24/1.42  # Initial clauses                      : 101
% 0.24/1.42  # Removed in clause preprocessing      : 3
% 0.24/1.42  # Initial clauses in saturation        : 98
% 0.24/1.42  # Processed clauses                    : 145
% 0.24/1.42  # ...of these trivial                  : 1
% 0.24/1.42  # ...subsumed                          : 0
% 0.24/1.42  # ...remaining for further processing  : 143
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 15
% 0.24/1.42  # Backward-rewritten                   : 10
% 0.24/1.42  # Generated clauses                    : 363
% 0.24/1.42  # ...of the previous two non-trivial   : 319
% 0.24/1.42  # Contextual simplify-reflections      : 10
% 0.24/1.42  # Paramodulations                      : 361
% 0.24/1.42  # Factorizations                       : 2
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 118
% 0.24/1.42  #    Positive orientable unit clauses  : 82
% 0.24/1.42  #    Positive unorientable unit clauses: 2
% 0.24/1.42  #    Negative unit clauses             : 5
% 0.24/1.42  #    Non-unit-clauses                  : 29
% 0.24/1.42  # Current number of unprocessed clauses: 254
% 0.24/1.42  # ...number of literals in the above   : 463
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 27
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 185
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 148
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 25
% 0.24/1.42  # Unit Clause-clause subsumption calls : 163
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 15
% 0.24/1.42  # BW rewrite match successes           : 15
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 8870
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.050 s
% 0.24/1.42  # System time              : 0.002 s
% 0.24/1.42  # Total time               : 0.052 s
% 0.24/1.42  # Maximum resident set size: 3772 pages
% 0.24/23.41  eprover: CPU time limit exceeded, terminating
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------