TSTP Solution File: SWV030+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV030+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 21:36:14 EDT 2023

% Result   : Theorem 8.64s 8.75s
% Output   : CNFRefutation 8.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   82
% Syntax   : Number of formulae    :  195 (  39 unt;  73 typ;   0 def)
%            Number of atoms       :  753 ( 153 equ)
%            Maximal formula atoms :  182 (   6 avg)
%            Number of connectives : 1077 ( 446   ~; 537   |;  78   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  144 (  50   >;  94   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   2 prp; 0-4 aty)
%            Number of functors    :   67 (  67 usr;  22 con; 0-7 aty)
%            Number of variables   :   34 (   0 sgn;  23   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    gt: ( $i * $i ) > $o ).

tff(decl_23,type,
    leq: ( $i * $i ) > $o ).

tff(decl_24,type,
    lt: ( $i * $i ) > $o ).

tff(decl_25,type,
    geq: ( $i * $i ) > $o ).

tff(decl_26,type,
    pred: $i > $i ).

tff(decl_27,type,
    succ: $i > $i ).

tff(decl_28,type,
    n0: $i ).

tff(decl_29,type,
    uniform_int_rnd: ( $i * $i ) > $i ).

tff(decl_30,type,
    dim: ( $i * $i ) > $i ).

tff(decl_31,type,
    tptp_const_array1: ( $i * $i ) > $i ).

tff(decl_32,type,
    a_select2: ( $i * $i ) > $i ).

tff(decl_33,type,
    tptp_const_array2: ( $i * $i * $i ) > $i ).

tff(decl_34,type,
    a_select3: ( $i * $i * $i ) > $i ).

tff(decl_35,type,
    trans: $i > $i ).

tff(decl_36,type,
    inv: $i > $i ).

tff(decl_37,type,
    tptp_update3: ( $i * $i * $i * $i ) > $i ).

tff(decl_38,type,
    tptp_madd: ( $i * $i ) > $i ).

tff(decl_39,type,
    tptp_msub: ( $i * $i ) > $i ).

tff(decl_40,type,
    tptp_mmul: ( $i * $i ) > $i ).

tff(decl_41,type,
    tptp_minus_1: $i ).

tff(decl_42,type,
    sum: ( $i * $i * $i ) > $i ).

tff(decl_43,type,
    tptp_float_0_0: $i ).

tff(decl_44,type,
    n1: $i ).

tff(decl_45,type,
    plus: ( $i * $i ) > $i ).

tff(decl_46,type,
    n2: $i ).

tff(decl_47,type,
    n3: $i ).

tff(decl_48,type,
    n4: $i ).

tff(decl_49,type,
    n5: $i ).

tff(decl_50,type,
    minus: ( $i * $i ) > $i ).

tff(decl_51,type,
    tptp_update2: ( $i * $i * $i ) > $i ).

tff(decl_52,type,
    true: $o ).

tff(decl_53,type,
    def: $i ).

tff(decl_54,type,
    use: $i ).

tff(decl_55,type,
    init: $i ).

tff(decl_56,type,
    pv7: $i ).

tff(decl_57,type,
    pv19: $i ).

tff(decl_58,type,
    pv20: $i ).

tff(decl_59,type,
    pv1376: $i ).

tff(decl_60,type,
    n410: $i ).

tff(decl_61,type,
    n330: $i ).

tff(decl_62,type,
    simplex7_init: $i ).

tff(decl_63,type,
    s_values7_init: $i ).

tff(decl_64,type,
    epred1_4: ( $i * $i * $i * $i ) > $o ).

tff(decl_65,type,
    esk1_2: ( $i * $i ) > $i ).

tff(decl_66,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_67,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_68,type,
    esk4_2: ( $i * $i ) > $i ).

tff(decl_69,type,
    esk5_2: ( $i * $i ) > $i ).

tff(decl_70,type,
    esk6_2: ( $i * $i ) > $i ).

tff(decl_71,type,
    esk7_3: ( $i * $i * $i ) > $i ).

tff(decl_72,type,
    esk8_3: ( $i * $i * $i ) > $i ).

tff(decl_73,type,
    esk9_3: ( $i * $i * $i ) > $i ).

tff(decl_74,type,
    esk10_3: ( $i * $i * $i ) > $i ).

tff(decl_75,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_76,type,
    esk12_3: ( $i * $i * $i ) > $i ).

tff(decl_77,type,
    esk13_3: ( $i * $i * $i ) > $i ).

tff(decl_78,type,
    esk14_3: ( $i * $i * $i ) > $i ).

tff(decl_79,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_80,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_81,type,
    esk17_3: ( $i * $i * $i ) > $i ).

tff(decl_82,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_83,type,
    esk19_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_84,type,
    esk20_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_85,type,
    esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_86,type,
    esk22_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_87,type,
    esk23_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_88,type,
    esk24_0: $i ).

tff(decl_89,type,
    esk25_0: $i ).

tff(decl_90,type,
    esk26_0: $i ).

tff(decl_91,type,
    esk27_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_92,type,
    esk28_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_93,type,
    esk29_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_94,type,
    esk30_4: ( $i * $i * $i * $i ) > $i ).

fof(gauss_init_0033,conjecture,
    ( ( init = init
      & leq(n0,pv7)
      & leq(n0,pv19)
      & leq(n0,pv20)
      & leq(n0,pv1376)
      & leq(pv7,minus(n410,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv20,minus(n330,n1))
      & leq(pv1376,n3)
      & ! [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,minus(pv1376,n1)) )
         => a_select2(s_values7_init,X4) = init ) )
   => ( init = init
      & leq(n0,pv7)
      & leq(n0,pv19)
      & leq(n0,pv20)
      & leq(n0,pv1376)
      & leq(pv7,minus(n410,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv20,minus(n330,n1))
      & leq(pv1376,n3)
      & ! [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,minus(pv1376,n1)) )
         => a_select2(s_values7_init,X22) = init ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0033) ).

fof(leq_gt1,axiom,
    ! [X1,X2] :
      ( gt(X2,X1)
     => leq(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).

fof(finite_domain_3,axiom,
    ! [X1] :
      ( ( leq(n0,X1)
        & leq(X1,n3) )
     => ( X1 = n0
        | X1 = n1
        | X1 = n2
        | X1 = n3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_3) ).

fof(gt_3_2,axiom,
    gt(n3,n2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_2) ).

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

fof(reflexivity_leq,axiom,
    ! [X1] : leq(X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).

fof(gt_3_0,axiom,
    gt(n3,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_3_0) ).

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

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

fof(c_0_9,negated_conjecture,
    ~ ( ( init = init
        & leq(n0,pv7)
        & leq(n0,pv19)
        & leq(n0,pv20)
        & leq(n0,pv1376)
        & leq(pv7,minus(n410,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv20,minus(n330,n1))
        & leq(pv1376,n3)
        & ! [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,minus(pv1376,n1)) )
           => a_select2(s_values7_init,X4) = init ) )
     => ( init = init
        & leq(n0,pv7)
        & leq(n0,pv19)
        & leq(n0,pv20)
        & leq(n0,pv1376)
        & leq(pv7,minus(n410,n1))
        & leq(pv19,minus(n410,n1))
        & leq(pv20,minus(n330,n1))
        & leq(pv1376,n3)
        & ! [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,minus(pv1376,n1)) )
           => a_select2(s_values7_init,X22) = init ) ) ),
    inference(assume_negation,[status(cth)],[gauss_init_0033]) ).

fof(c_0_10,negated_conjecture,
    ! [X186,X187,X188] :
      ( init = init
      & leq(n0,pv7)
      & leq(n0,pv19)
      & leq(n0,pv20)
      & leq(n0,pv1376)
      & leq(pv7,minus(n410,n1))
      & leq(pv19,minus(n410,n1))
      & leq(pv20,minus(n330,n1))
      & leq(pv1376,n3)
      & ( ~ leq(n0,X186)
        | ~ leq(X186,n2)
        | ~ leq(n0,X187)
        | ~ leq(X187,n3)
        | a_select3(simplex7_init,X187,X186) = init )
      & ( ~ leq(n0,X188)
        | ~ leq(X188,minus(pv1376,n1))
        | a_select2(s_values7_init,X188) = init )
      & ( leq(n0,esk26_0)
        | leq(n0,esk24_0)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(esk26_0,minus(pv1376,n1))
        | leq(n0,esk24_0)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( a_select2(s_values7_init,esk26_0) != init
        | leq(n0,esk24_0)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(n0,esk26_0)
        | leq(esk24_0,n2)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(esk26_0,minus(pv1376,n1))
        | leq(esk24_0,n2)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( a_select2(s_values7_init,esk26_0) != init
        | leq(esk24_0,n2)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(n0,esk26_0)
        | leq(n0,esk25_0)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(esk26_0,minus(pv1376,n1))
        | leq(n0,esk25_0)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( a_select2(s_values7_init,esk26_0) != init
        | leq(n0,esk25_0)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(n0,esk26_0)
        | leq(esk25_0,n3)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(esk26_0,minus(pv1376,n1))
        | leq(esk25_0,n3)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( a_select2(s_values7_init,esk26_0) != init
        | leq(esk25_0,n3)
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(n0,esk26_0)
        | a_select3(simplex7_init,esk25_0,esk24_0) != init
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( leq(esk26_0,minus(pv1376,n1))
        | a_select3(simplex7_init,esk25_0,esk24_0) != init
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) )
      & ( a_select2(s_values7_init,esk26_0) != init
        | a_select3(simplex7_init,esk25_0,esk24_0) != init
        | init != init
        | ~ leq(n0,pv7)
        | ~ leq(n0,pv19)
        | ~ leq(n0,pv20)
        | ~ leq(n0,pv1376)
        | ~ leq(pv7,minus(n410,n1))
        | ~ leq(pv19,minus(n410,n1))
        | ~ leq(pv20,minus(n330,n1))
        | ~ leq(pv1376,n3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

cnf(c_0_11,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(esk25_0,n3)
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk25_0,n3)
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ( leq(esk25_0,n3)
    | a_select2(s_values7_init,esk26_0) != init
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(n0,esk25_0)
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(n0,esk25_0)
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select2(s_values7_init,esk26_0) != init
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,negated_conjecture,
    ( leq(esk25_0,n3)
    | leq(esk26_0,minus(pv1376,n1))
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    leq(n0,pv7),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,negated_conjecture,
    leq(n0,pv19),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_20,negated_conjecture,
    leq(n0,pv20),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_21,negated_conjecture,
    leq(n0,pv1376),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_22,negated_conjecture,
    leq(pv1376,n3),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_23,negated_conjecture,
    leq(pv7,minus(n410,n1)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_24,negated_conjecture,
    leq(pv19,minus(n410,n1)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,negated_conjecture,
    leq(pv20,minus(n330,n1)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_26,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk25_0,n3)
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_12]) ).

cnf(c_0_27,negated_conjecture,
    ( leq(esk25_0,n3)
    | a_select2(s_values7_init,esk26_0) != init
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_13]) ).

cnf(c_0_28,negated_conjecture,
    ( leq(n0,esk25_0)
    | leq(esk26_0,minus(pv1376,n1))
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_14]) ).

cnf(c_0_29,negated_conjecture,
    ( leq(n0,esk25_0)
    | leq(n0,esk26_0)
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_15]) ).

cnf(c_0_30,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select2(s_values7_init,esk26_0) != init
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_16]) ).

fof(c_0_31,plain,
    ! [X42,X43] :
      ( ~ gt(X43,X42)
      | leq(X42,X43) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_gt1])]) ).

cnf(c_0_32,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(esk24_0,n2)
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_33,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk24_0,n2)
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_34,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select2(s_values7_init,esk26_0) != init
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_35,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(n0,esk24_0)
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_36,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(n0,esk24_0)
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_37,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select2(s_values7_init,esk26_0) != init
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_38,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_39,plain,
    ! [X197] :
      ( ~ leq(n0,X197)
      | ~ leq(X197,n3)
      | X197 = n0
      | X197 = n1
      | X197 = n2
      | X197 = n3 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[finite_domain_3])]) ).

cnf(c_0_40,negated_conjecture,
    ( a_select2(s_values7_init,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,minus(pv1376,n1)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_41,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(esk25_0,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_42,negated_conjecture,
    ( leq(esk25_0,n3)
    | leq(n0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_43,negated_conjecture,
    ( leq(esk25_0,n3)
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_44,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(n0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_45,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(n0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_46,negated_conjecture,
    ( leq(n0,esk25_0)
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_47,plain,
    ( leq(X2,X1)
    | ~ gt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_48,plain,
    gt(n3,n2),
    inference(split_conjunct,[status(thm)],[gt_3_2]) ).

cnf(c_0_49,plain,
    gt(n2,n0),
    inference(split_conjunct,[status(thm)],[gt_2_0]) ).

cnf(c_0_50,negated_conjecture,
    ( leq(esk24_0,n2)
    | leq(esk26_0,minus(pv1376,n1))
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_32]) ).

cnf(c_0_51,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(esk24_0,n2)
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_33]) ).

cnf(c_0_52,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select2(s_values7_init,esk26_0) != init
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_34]) ).

cnf(c_0_53,negated_conjecture,
    ( leq(n0,esk24_0)
    | leq(esk26_0,minus(pv1376,n1))
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_35]) ).

cnf(c_0_54,negated_conjecture,
    ( leq(n0,esk24_0)
    | leq(n0,esk26_0)
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_36]) ).

cnf(c_0_55,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select2(s_values7_init,esk26_0) != init
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_37]) ).

cnf(c_0_56,negated_conjecture,
    ( leq(n0,esk26_0)
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_57,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_38]) ).

cnf(c_0_58,plain,
    ( X1 = n0
    | X1 = n1
    | X1 = n2
    | X1 = n3
    | ~ leq(n0,X1)
    | ~ leq(X1,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_59,negated_conjecture,
    leq(esk25_0,n3),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]) ).

cnf(c_0_60,negated_conjecture,
    leq(n0,esk25_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_44]),c_0_45]),c_0_46]) ).

cnf(c_0_61,negated_conjecture,
    ( a_select3(simplex7_init,X2,X1) = init
    | ~ leq(n0,X1)
    | ~ leq(X1,n2)
    | ~ leq(n0,X2)
    | ~ leq(X2,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_62,plain,
    leq(n2,n3),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_63,plain,
    leq(n0,n2),
    inference(spm,[status(thm)],[c_0_47,c_0_49]) ).

cnf(c_0_64,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(esk24_0,n2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_65,negated_conjecture,
    ( leq(esk24_0,n2)
    | leq(n0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_66,negated_conjecture,
    ( leq(esk24_0,n2)
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_67,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | leq(n0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_68,negated_conjecture,
    ( leq(n0,esk26_0)
    | leq(n0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_69,negated_conjecture,
    ( leq(n0,esk24_0)
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_70,negated_conjecture,
    ( leq(n0,esk26_0)
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_56]) ).

cnf(c_0_71,negated_conjecture,
    ( leq(esk26_0,minus(pv1376,n1))
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_72,negated_conjecture,
    ( esk25_0 = n3
    | esk25_0 = n2
    | esk25_0 = n1
    | esk25_0 = n0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).

cnf(c_0_73,negated_conjecture,
    ( a_select3(simplex7_init,n2,X1) = init
    | ~ leq(X1,n2)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).

cnf(c_0_74,negated_conjecture,
    leq(esk24_0,n2),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_64]),c_0_65]),c_0_66]) ).

cnf(c_0_75,negated_conjecture,
    leq(n0,esk24_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_67]),c_0_68]),c_0_69]) ).

cnf(c_0_76,negated_conjecture,
    ( leq(n0,esk26_0)
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_77,negated_conjecture,
    ( a_select2(s_values7_init,esk26_0) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | $false
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1))
    | ~ leq(pv1376,n3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_78,negated_conjecture,
    ( esk25_0 = n0
    | esk25_0 = n1
    | esk25_0 = n3
    | leq(esk26_0,minus(pv1376,n1))
    | a_select3(simplex7_init,n2,esk24_0) != init ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_79,negated_conjecture,
    a_select3(simplex7_init,n2,esk24_0) = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).

cnf(c_0_80,negated_conjecture,
    ( esk25_0 = n0
    | esk25_0 = n1
    | esk25_0 = n3
    | leq(n0,esk26_0)
    | a_select3(simplex7_init,n2,esk24_0) != init ),
    inference(spm,[status(thm)],[c_0_76,c_0_72]) ).

cnf(c_0_81,negated_conjecture,
    ( a_select2(s_values7_init,esk26_0) != init
    | a_select3(simplex7_init,esk25_0,esk24_0) != init
    | ~ leq(n0,pv7)
    | ~ leq(n0,pv19)
    | ~ leq(n0,pv20)
    | ~ leq(n0,pv1376)
    | ~ leq(pv1376,n3)
    | ~ leq(pv7,minus(n410,n1))
    | ~ leq(pv19,minus(n410,n1))
    | ~ leq(pv20,minus(n330,n1)) ),
    inference(cn,[status(thm)],[c_0_77]) ).

cnf(c_0_82,negated_conjecture,
    ( esk25_0 = n3
    | esk25_0 = n1
    | esk25_0 = n0
    | leq(esk26_0,minus(pv1376,n1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]) ).

cnf(c_0_83,negated_conjecture,
    ( esk25_0 = n3
    | esk25_0 = n1
    | esk25_0 = n0
    | leq(n0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_79])]) ).

fof(c_0_84,plain,
    ! [X34] : leq(X34,X34),
    inference(variable_rename,[status(thm)],[reflexivity_leq]) ).

cnf(c_0_85,plain,
    gt(n3,n0),
    inference(split_conjunct,[status(thm)],[gt_3_0]) ).

cnf(c_0_86,negated_conjecture,
    ( a_select3(simplex7_init,esk25_0,esk24_0) != init
    | a_select2(s_values7_init,esk26_0) != init ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]) ).

cnf(c_0_87,negated_conjecture,
    ( a_select2(s_values7_init,esk26_0) = init
    | esk25_0 = n0
    | esk25_0 = n1
    | esk25_0 = n3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_82]),c_0_83]) ).

cnf(c_0_88,plain,
    leq(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_89,plain,
    leq(n0,n3),
    inference(spm,[status(thm)],[c_0_47,c_0_85]) ).

cnf(c_0_90,negated_conjecture,
    ( esk25_0 = n3
    | esk25_0 = n1
    | esk25_0 = n0
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_91,negated_conjecture,
    ( esk25_0 = n0
    | esk25_0 = n1
    | esk25_0 = n3
    | n2 != n0 ),
    inference(ef,[status(thm)],[c_0_72]) ).

cnf(c_0_92,negated_conjecture,
    ( esk25_0 = n0
    | esk25_0 = n1
    | esk25_0 = n3
    | n2 != n1 ),
    inference(ef,[status(thm)],[c_0_72]) ).

cnf(c_0_93,negated_conjecture,
    ( esk25_0 = n0
    | esk25_0 = n1
    | esk25_0 = n3
    | n2 != n3 ),
    inference(ef,[status(thm)],[c_0_72]) ).

cnf(c_0_94,negated_conjecture,
    ( a_select3(simplex7_init,n3,X1) = init
    | ~ leq(X1,n2)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_88]),c_0_89])]) ).

cnf(c_0_95,negated_conjecture,
    ( esk25_0 = n0
    | esk25_0 = n1
    | esk25_0 = n3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_72]),c_0_79])]),c_0_91]),c_0_92]),c_0_93]) ).

cnf(c_0_96,negated_conjecture,
    a_select3(simplex7_init,n3,esk24_0) = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_74]),c_0_75])]) ).

cnf(c_0_97,negated_conjecture,
    ( esk25_0 = n1
    | esk25_0 = n0
    | leq(esk26_0,minus(pv1376,n1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_95]),c_0_96])]) ).

cnf(c_0_98,negated_conjecture,
    ( esk25_0 = n1
    | esk25_0 = n0
    | leq(n0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_95]),c_0_96])]) ).

cnf(c_0_99,plain,
    gt(n3,n1),
    inference(split_conjunct,[status(thm)],[gt_3_1]) ).

cnf(c_0_100,plain,
    gt(n1,n0),
    inference(split_conjunct,[status(thm)],[gt_1_0]) ).

cnf(c_0_101,negated_conjecture,
    ( a_select2(s_values7_init,esk26_0) = init
    | esk25_0 = n0
    | esk25_0 = n1 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_97]),c_0_98]) ).

cnf(c_0_102,plain,
    leq(n1,n3),
    inference(spm,[status(thm)],[c_0_47,c_0_99]) ).

cnf(c_0_103,plain,
    leq(n0,n1),
    inference(spm,[status(thm)],[c_0_47,c_0_100]) ).

cnf(c_0_104,negated_conjecture,
    ( esk25_0 = n1
    | esk25_0 = n0
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(spm,[status(thm)],[c_0_86,c_0_101]) ).

cnf(c_0_105,negated_conjecture,
    ( esk25_0 = n1
    | esk25_0 = n0
    | n3 != n0 ),
    inference(ef,[status(thm)],[c_0_95]) ).

cnf(c_0_106,negated_conjecture,
    ( esk25_0 = n1
    | esk25_0 = n0
    | n3 != n1 ),
    inference(ef,[status(thm)],[c_0_95]) ).

cnf(c_0_107,negated_conjecture,
    ( a_select3(simplex7_init,n1,X1) = init
    | ~ leq(X1,n2)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_102]),c_0_103])]) ).

cnf(c_0_108,negated_conjecture,
    ( esk25_0 = n1
    | esk25_0 = n0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_95]),c_0_96])]),c_0_105]),c_0_106]) ).

cnf(c_0_109,negated_conjecture,
    a_select3(simplex7_init,n1,esk24_0) = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_74]),c_0_75])]) ).

cnf(c_0_110,negated_conjecture,
    ( esk25_0 = n0
    | leq(esk26_0,minus(pv1376,n1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_108]),c_0_109])]) ).

cnf(c_0_111,negated_conjecture,
    ( esk25_0 = n0
    | leq(n0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_108]),c_0_109])]) ).

cnf(c_0_112,negated_conjecture,
    ( a_select2(s_values7_init,esk26_0) = init
    | esk25_0 = n0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_110]),c_0_111]) ).

cnf(c_0_113,negated_conjecture,
    ( esk25_0 = n0
    | a_select3(simplex7_init,esk25_0,esk24_0) != init ),
    inference(spm,[status(thm)],[c_0_86,c_0_112]) ).

cnf(c_0_114,negated_conjecture,
    ( esk25_0 = n0
    | n1 != n0 ),
    inference(ef,[status(thm)],[c_0_108]) ).

cnf(c_0_115,negated_conjecture,
    ( a_select3(simplex7_init,n0,X1) = init
    | ~ leq(X1,n2)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_89]),c_0_88])]) ).

cnf(c_0_116,negated_conjecture,
    esk25_0 = n0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_108]),c_0_109])]),c_0_114]) ).

cnf(c_0_117,negated_conjecture,
    a_select3(simplex7_init,n0,esk24_0) = init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_74]),c_0_75])]) ).

cnf(c_0_118,negated_conjecture,
    leq(esk26_0,minus(pv1376,n1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_116]),c_0_117])]) ).

cnf(c_0_119,negated_conjecture,
    leq(n0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_116]),c_0_117])]) ).

cnf(c_0_120,negated_conjecture,
    a_select2(s_values7_init,esk26_0) != init,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_116]),c_0_117])]) ).

cnf(c_0_121,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_118]),c_0_119])]),c_0_120]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV030+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 05:45:02 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 8.64/8.75  % Version  : CSE_E---1.5
% 8.64/8.75  % Problem  : theBenchmark.p
% 8.64/8.75  % Proof found
% 8.64/8.75  % SZS status Theorem for theBenchmark.p
% 8.64/8.75  % SZS output start Proof
% See solution above
% 8.64/8.76  % Total time : 8.135000 s
% 8.64/8.76  % SZS output end Proof
% 8.64/8.76  % Total time : 8.141000 s
%------------------------------------------------------------------------------